Sliding Mode Observers for Time-Dependent Set-Valued Lur’e Systems Subject to Uncertainties
Designing observers for dynamical systems plays an important role in the modern control theory due to the lack of full information in measured outputs. The current paper proposes a sliding mode observer for a general class of Lur’e systems subject to uncertainties where feedbacks involve time-depend...
Saved in:
| Published in | Journal of optimization theory and applications Vol. 194; no. 1; pp. 290 - 305 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.07.2022
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | Designing observers for dynamical systems plays an important role in the modern control theory due to the lack of full information in measured outputs. The current paper proposes a sliding mode observer for a general class of Lur’e systems subject to uncertainties where feedbacks involve time-dependent set-valued mappings. To the best of our knowledge, sliding mode observers for set-valued Lur’e systems, even for the simple static case, have not been considered in the literature. Exponential convergence of the observer state and finite-time convergence of the output estimation error are guaranteed without using any linear transformations. In addition, our design can also deduce
H
∞
observers. |
|---|---|
| AbstractList | Designing observers for dynamical systems plays an important role in the modern control theory due to the lack of full information in measured outputs. The current paper proposes a sliding mode observer for a general class of Lur’e systems subject to uncertainties where feedbacks involve time-dependent set-valued mappings. To the best of our knowledge, sliding mode observers for set-valued Lur’e systems, even for the simple static case, have not been considered in the literature. Exponential convergence of the observer state and finite-time convergence of the output estimation error are guaranteed without using any linear transformations. In addition, our design can also deduce
H
∞
observers. Designing observers for dynamical systems plays an important role in the modern control theory due to the lack of full information in measured outputs. The current paper proposes a sliding mode observer for a general class of Lur’e systems subject to uncertainties where feedbacks involve time-dependent set-valued mappings. To the best of our knowledge, sliding mode observers for set-valued Lur’e systems, even for the simple static case, have not been considered in the literature. Exponential convergence of the observer state and finite-time convergence of the output estimation error are guaranteed without using any linear transformations. In addition, our design can also deduce H∞ observers. |
| Author | Le, Ba Khiet |
| Author_xml | – sequence: 1 givenname: Ba Khiet surname: Le fullname: Le, Ba Khiet email: lebakhiet@tdtu.edu.vn organization: Faculty of Mathematics and Statistics, Ton Duc Thang University |
| BookMark | eNp9kM1KAzEQx4Mo2FZfwFPA82o-2s3mKPUTKj1s601CdjNbUtpsTbKW3nwNX88ncesKgocehjnM_zcz_Pro2NUOELqg5IoSIq4DJXIkEsJYW4SJZHuEenQkeMIykR2jHtmPOOPyFPVDWBJCZCaGPfSar6yxboGfawN4WgTw7-ADrmqPZ3YNyS1swBlwEecQkxe9asDgSeO_Pj4B57sQYR1w3hRLKCOONZ67EnzU1kUL4QydVHoV4Py3D9D8_m42fkwm04en8c0kKdlQxoSbEZe80CBLKg3jXLIyNYWWemiqouLGiGGRUkYpqYSUJq0MFYIA0IpnXFI-QJfd3o2v3xoIUS3rxrv2pGKpoBlJU0baFOtSpa9D8FCpjbdr7XeKErXXqDqNqnWlfjSqbQtl_6DSRh1t7aLXdnUY5R0a2jtuAf7vqwPUNyVRixw |
| CitedBy_id | crossref_primary_10_1007_s40998_022_00528_y crossref_primary_10_1016_j_nahs_2023_101406 crossref_primary_10_1016_j_cnsns_2024_108325 |
| Cites_doi | 10.1007/978-3-540-79016-7 10.1016/S0019-9958(75)90382-4 10.1109/TAC.2009.2023968 10.1007/s10107-015-0945-7 10.1109/TAC.1987.1104530 10.1016/j.sysconle.2003.09.007 10.1007/s11071-016-2959-y 10.1016/j.na.2010.08.034 10.1080/00207177308932395 10.1007/978-90-481-9681-4 10.1007/978-3-030-19420-8 10.1016/S0005-1098(01)00160-1 10.1002/rnc.723 10.1137/120902252 10.1109/TME.1964.4323124 10.23919/ACC.1986.4789217 10.1137/18M1234795 10.1016/j.apm.2013.10.020 10.1137/16M1083657 10.1007/s11228-015-0334-7 10.1109/21.87057 10.1016/j.jmaa.2016.11.025 10.3182/20020721-6-ES-1901.00236 10.1109/TAC.1966.1098323 10.1016/j.jfranklin.2017.02.030 10.1109/TAC.1977.1101446 10.3182/20140824-6-ZA-1003.02175 10.1007/s11228-020-00530-8 10.1080/00207720701847638 10.1016/j.cnsns.2010.09.036 10.1080/02331934.2019.1686504 10.1007/978-3-642-84379-2 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 – notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. |
| DBID | AAYXX CITATION 3V. 7SC 7TB 7WY 7WZ 7XB 87Z 88I 8AO 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- KR7 L.- L6V L7M L~C L~D M0C M2O M2P M7S MBDVC P5Z P62 PHGZM PHGZT PKEHL PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s10957-022-02027-w |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni) ProQuest Research Library Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student ProQuest Research Library SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Civil Engineering Abstracts ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Proquest Research Library Science Database Engineering Database Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ProQuest Central China ABI/INFORM Complete ProQuest One Applied & Life Sciences ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest Business Collection ProQuest One Academic UKI Edition Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Civil Engineering Abstracts ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | ProQuest Business Collection (Alumni Edition) |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Mathematics |
| EISSN | 1573-2878 |
| EndPage | 305 |
| ExternalDocumentID | 10_1007_s10957_022_02027_w |
| GroupedDBID | -52 -5D -5G -BR -EM -Y2 -~C -~X .4S .86 .DC .VR 06D 0R~ 0VY 199 1N0 1SB 2.D 203 28- 29L 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 78A 7WY 88I 8AO 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDPE ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACZOJ ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AI. AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN AZQEC B-. BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 DWQXO EBLON EBS EDO EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GROUPED_ABI_INFORM_RESEARCH GUQSH GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF H~9 I-F I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV KOW L6V LAK LLZTM M0C M2O M2P M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O93 O9G O9I O9J OAM OVD P19 P2P P62 P9R PF0 PKN PQBIZ PQBZA PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC TUS TWZ U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW VH1 VOH W23 W48 WH7 WK8 YLTOR YQT Z45 Z7R Z7S Z7U Z7X Z7Y Z7Z Z81 Z83 Z86 Z88 Z8M Z8N Z8R Z8S Z8T Z8U Z8W Z92 ZCG ZMTXR ZWQNP ZY4 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ACSTC ADHKG ADXHL AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION PHGZM PHGZT 7SC 7TB 7XB 8FD 8FK ABRTQ FR3 JQ2 KR7 L.- L7M L~C L~D MBDVC PKEHL PQEST PQGLB PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c249t-3d5393bae9c19d23392c6dba9a4dfbf3dd74b612110f799d6fd1770ee1f383913 |
| IEDL.DBID | BENPR |
| ISSN | 0022-3239 |
| IngestDate | Sat Aug 16 17:52:47 EDT 2025 Tue Jul 01 03:54:12 EDT 2025 Thu Apr 24 23:01:18 EDT 2025 Fri Feb 21 02:45:40 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Lur’e dynamical systems Sliding mode observer Set-valued feedback Time dependent |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c249t-3d5393bae9c19d23392c6dba9a4dfbf3dd74b612110f799d6fd1770ee1f383913 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2671806620 |
| PQPubID | 48247 |
| PageCount | 16 |
| ParticipantIDs | proquest_journals_2671806620 crossref_primary_10_1007_s10957_022_02027_w crossref_citationtrail_10_1007_s10957_022_02027_w springer_journals_10_1007_s10957_022_02027_w |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20220700 2022-07-00 20220701 |
| PublicationDateYYYYMMDD | 2022-07-01 |
| PublicationDate_xml | – month: 7 year: 2022 text: 20220700 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | Journal of optimization theory and applications |
| PublicationTitleAbbrev | J Optim Theory Appl |
| PublicationYear | 2022 |
| Publisher | Springer US Springer Nature B.V |
| Publisher_xml | – name: Springer US – name: Springer Nature B.V |
| References | BrogliatoBTanwaniADynamical systems coupled with monotone set-valued operators: formalisms, applications, well-posedness, and stabilitySIAM Rev.20206213129406453010.1137/18M1234795 ItkisUControl Systems of Variable Structure1976New YorkWiley Golubev, A.E., Rishchenko, A.P., Kachev, S.B.: Separation principle for a class of nonlinear systems. In: Camacho, E.F., Basañes, L., Puente, J.A. (eds.) IFAC Proceedings, vol. 35(1), pp. 447–452 (2002) CamlibelMKSchumacherJMLinear passive systems and maximal monotone mappingsMath. Program.20161572397420350534210.1007/s10107-015-0945-7 LuenbergerDObserving the state of a linear systemIEEE Trans. Mil. Electron.19648748010.1109/TME.1964.4323124 SpurgeonSSliding mode observers—a surveyInt. J. Syst. Sci.2008398751764242212210.1080/00207720701847638 TanwaniABrogliatoBPrieurCStability and observer design for Lur’e systems with multivalued, non-monotone, time-varying nonlinearities and state jumpsSIAM J. Control Optim.201452636393672327721210.1137/120902252 ThauFEObserving the state of non-linear dynamic systemsInt. J. Control19731747147910.1080/00207177308932395 HuangJHanZCaiXLiuLAdaptive full-order and reduced-order observers for the Lur’e differential inclusion systemCommun. Nonlinear Sci. Numer. Simul.20111628692879277230110.1016/j.cnsns.2010.09.036 WalcottBLZakSHCombined observer controller synthesis for uncertain dynamical systems with applicationsIEEE Trans. Syst. Man Cybern. Syst.19881818810410.1109/21.87057 Xiang, J., Su, H., Chu, J.: On the design of Walcott-Zak sliding mode observer. In: Proceedings of the American Control Conference, Portland, OR, pp. 2451–2456 (2005) Slotine, J.J.E., Edrick, J.K., Misawa, E.A.: On sliding observers for nonlinear systems. In: Proceedings of the American Control Conference, 1794–1800, Seattle, USA (1986) UtkinVISliding Modes and Their Application in Variable Structure Systems1978MoscowMIR Publishers0398.93003 LeBKOn a class of Lur’e dynamical systems with state-dependent set-valued feedbackSet Valued Var. Anal.202028537557412963910.1007/s11228-020-00530-8 TanCEdwardsCSliding mode observers for robust detection and reconstruction of actuator and sensor faultsInt. J. Robust. Nonlinear Control200313443463197739810.1002/rnc.723 UtkinVIVariable structure systems with sliding modesIEEE Trans. Autom. Control197722221222248466410.1109/TAC.1977.1101446 AdlySHantouteALeBKMaximal monotonicity and cyclic-monotonicity arising in nonsmooth Lur’e dynamical systemsJ. Math. Anal. Appl.20174481691706357990610.1016/j.jmaa.2016.11.025 LuenbergerD Observers for multivariable systemsIEEE Trans. Autom. Control.19661119019710.1109/TAC.1966.1098323 ArcakMKokotovicPNonlinear observers: a circle criterion design and robustness analysisAutomatica20013719231930211067810.1016/S0005-1098(01)00160-1 BrogliatoBGoelevenDWell-posedness, stability and invariance results for a class of multivalued Lur’e dynamical systemsNonlinear Anal. Theory Methods Appl.20117419521210.1016/j.na.2010.08.034 LeBKWell-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusionsOptimization20206911871217409717210.1080/02331934.2019.1686504 BartoliniGFridmanLPisanoAUsaiEModern Sliding Mode Control Theory: New Perspectives and Applications, Lecture Notes in Control and Information Sciences2008BerlinSpringer10.1007/978-3-540-79016-7 BrogliatoBHeemelsWPMHObserver design for Lur’e systems with multivalued mappings: a passivity approachIEEE Trans. Autom. Control20095481996200110.1109/TAC.2009.2023968 BrogliatoBAbsolute stability and the Lagrange–Dirichlet theorem with monotone multivalued mappingsSyst. Control Lett.2004515343353204174710.1016/j.sysconle.2003.09.007 EmelyanovSVVariable Structure Control Systems1967MoscowNauka0217.58102 BrogliatoBLozanoRMaschkeBEgelandODissipative Systems Analysis and Control20203ChamSpringer10.1007/978-3-030-19420-8 AcaryVBonnefonOBrogliatoBNonsmooth Modeling and Simulation for Switched Circuits, Lecture Notes in Electrical Engineering2011DordrechtSpringer10.1007/978-90-481-9681-4 KouSRElliottDLTarnTJExponential observers for nonlinear dynamic systemsInf. Control19752920421638422710.1016/S0019-9958(75)90382-4 Alwi, H., Chen, L., Edwards, C.: Reconstruction of simultaneous actuator and sensor faults for the RECONFIGURE benchmark using a sliding mode observer. In: Boje, E., Xia, X. (eds.) IFAC Proceedings, vol. 47(3), pp. 3497–3502 (2014) HuangJZhangJHanZA note on adaptive observer for the Lur’e differential inclusion systemNonlinear Dyn.20168612271237354657210.1007/s11071-016-2959-y HuangJZhangWShiMChenLYuLH∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^\infty $$\end{document} Observer design for singular one-sided Lur’e differential inclusion systemJ. Frankl. Inst.201735433053321363453310.1016/j.jfranklin.2017.02.030 ShtesselYEdwardsCFridmanLLevantASliding Mode Control and Observation2013BaselBirkhauser ShowalterREMonotone Operators in Banach Spaces and Nonlinear Partial Differential Equations1997Providence, RIAmerican Mathematical Society0870.35004 TanwaniABrogliatoBPrieurCWell-posedness and output regulation for implicit time-varying evolution variational inequalitiesSIAM J. Control Optim.2018562751781377200610.1137/16M1083657 WalcottBLZakSHState observation of nonlinear uncertain dynamical systemsIEEE Trans. Autom. Control198732216617087259110.1109/TAC.1987.1104530 HuangJYuLZhangMZhuFHanZActuator fault detection and estimation for the Lur’e differential inclusion systemAppl. Math. Model.20143820902100317623410.1016/j.apm.2013.10.020 UtkinVISliding Modes in Control Optimization1992BerlinSpringer10.1007/978-3-642-84379-2 AdlySHantouteALeBKNonsmooth Lur’e dynamical systems in Hilbert spacesSet Valued Var. Anal.20162411335345926810.1007/s11228-015-0334-7 G Bartolini (2027_CR6) 2008 D Luenberger (2027_CR23) 1964; 8 2027_CR5 B Brogliato (2027_CR8) 2004; 51 B Brogliato (2027_CR11) 2009; 54 VI Utkin (2027_CR35) 1992 M Arcak (2027_CR4) 2001; 37 BL Walcott (2027_CR37) 1988; 18 S Adly (2027_CR2) 2016; 24 2027_CR14 BL Walcott (2027_CR36) 1987; 32 J Huang (2027_CR17) 2016; 86 D Luenberger (2027_CR24) 1966; 11 FE Thau (2027_CR32) 1973; 17 C Tan (2027_CR29) 2003; 13 2027_CR38 VI Utkin (2027_CR33) 1977; 22 A Tanwani (2027_CR30) 2014; 52 VI Utkin (2027_CR34) 1978 S Adly (2027_CR3) 2017; 448 B Brogliato (2027_CR9) 2011; 74 RE Showalter (2027_CR25) 1997 J Huang (2027_CR15) 2011; 16 (2027_CR13) 1967 J Huang (2027_CR18) 2017; 354 MK Camlibel (2027_CR12) 2016; 157 U Itkis (2027_CR20) 1976 S Spurgeon (2027_CR28) 2008; 39 BK Le (2027_CR21) 2020; 28 B Brogliato (2027_CR10) 2020 J Huang (2027_CR16) 2014; 38 BK Le (2027_CR22) 2020; 69 Y Shtessel (2027_CR26) 2013 2027_CR27 B Brogliato (2027_CR7) 2020; 62 SR Kou (2027_CR19) 1975; 29 A Tanwani (2027_CR31) 2018; 56 V Acary (2027_CR1) 2011 |
| References_xml | – reference: LeBKWell-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusionsOptimization20206911871217409717210.1080/02331934.2019.1686504 – reference: HuangJHanZCaiXLiuLAdaptive full-order and reduced-order observers for the Lur’e differential inclusion systemCommun. Nonlinear Sci. Numer. Simul.20111628692879277230110.1016/j.cnsns.2010.09.036 – reference: UtkinVISliding Modes in Control Optimization1992BerlinSpringer10.1007/978-3-642-84379-2 – reference: Slotine, J.J.E., Edrick, J.K., Misawa, E.A.: On sliding observers for nonlinear systems. In: Proceedings of the American Control Conference, 1794–1800, Seattle, USA (1986) – reference: Alwi, H., Chen, L., Edwards, C.: Reconstruction of simultaneous actuator and sensor faults for the RECONFIGURE benchmark using a sliding mode observer. In: Boje, E., Xia, X. (eds.) IFAC Proceedings, vol. 47(3), pp. 3497–3502 (2014) – reference: ShtesselYEdwardsCFridmanLLevantASliding Mode Control and Observation2013BaselBirkhauser – reference: WalcottBLZakSHState observation of nonlinear uncertain dynamical systemsIEEE Trans. Autom. Control198732216617087259110.1109/TAC.1987.1104530 – reference: CamlibelMKSchumacherJMLinear passive systems and maximal monotone mappingsMath. Program.20161572397420350534210.1007/s10107-015-0945-7 – reference: Golubev, A.E., Rishchenko, A.P., Kachev, S.B.: Separation principle for a class of nonlinear systems. In: Camacho, E.F., Basañes, L., Puente, J.A. (eds.) IFAC Proceedings, vol. 35(1), pp. 447–452 (2002) – reference: ThauFEObserving the state of non-linear dynamic systemsInt. J. Control19731747147910.1080/00207177308932395 – reference: BartoliniGFridmanLPisanoAUsaiEModern Sliding Mode Control Theory: New Perspectives and Applications, Lecture Notes in Control and Information Sciences2008BerlinSpringer10.1007/978-3-540-79016-7 – reference: TanCEdwardsCSliding mode observers for robust detection and reconstruction of actuator and sensor faultsInt. J. Robust. Nonlinear Control200313443463197739810.1002/rnc.723 – reference: WalcottBLZakSHCombined observer controller synthesis for uncertain dynamical systems with applicationsIEEE Trans. Syst. Man Cybern. Syst.19881818810410.1109/21.87057 – reference: TanwaniABrogliatoBPrieurCWell-posedness and output regulation for implicit time-varying evolution variational inequalitiesSIAM J. Control Optim.2018562751781377200610.1137/16M1083657 – reference: LeBKOn a class of Lur’e dynamical systems with state-dependent set-valued feedbackSet Valued Var. Anal.202028537557412963910.1007/s11228-020-00530-8 – reference: LuenbergerDObserving the state of a linear systemIEEE Trans. Mil. Electron.19648748010.1109/TME.1964.4323124 – reference: BrogliatoBTanwaniADynamical systems coupled with monotone set-valued operators: formalisms, applications, well-posedness, and stabilitySIAM Rev.20206213129406453010.1137/18M1234795 – reference: AcaryVBonnefonOBrogliatoBNonsmooth Modeling and Simulation for Switched Circuits, Lecture Notes in Electrical Engineering2011DordrechtSpringer10.1007/978-90-481-9681-4 – reference: ArcakMKokotovicPNonlinear observers: a circle criterion design and robustness analysisAutomatica20013719231930211067810.1016/S0005-1098(01)00160-1 – reference: BrogliatoBHeemelsWPMHObserver design for Lur’e systems with multivalued mappings: a passivity approachIEEE Trans. Autom. Control20095481996200110.1109/TAC.2009.2023968 – reference: ItkisUControl Systems of Variable Structure1976New YorkWiley – reference: SpurgeonSSliding mode observers—a surveyInt. J. Syst. Sci.2008398751764242212210.1080/00207720701847638 – reference: BrogliatoBGoelevenDWell-posedness, stability and invariance results for a class of multivalued Lur’e dynamical systemsNonlinear Anal. Theory Methods Appl.20117419521210.1016/j.na.2010.08.034 – reference: HuangJYuLZhangMZhuFHanZActuator fault detection and estimation for the Lur’e differential inclusion systemAppl. Math. Model.20143820902100317623410.1016/j.apm.2013.10.020 – reference: KouSRElliottDLTarnTJExponential observers for nonlinear dynamic systemsInf. Control19752920421638422710.1016/S0019-9958(75)90382-4 – reference: LuenbergerD Observers for multivariable systemsIEEE Trans. Autom. Control.19661119019710.1109/TAC.1966.1098323 – reference: BrogliatoBLozanoRMaschkeBEgelandODissipative Systems Analysis and Control20203ChamSpringer10.1007/978-3-030-19420-8 – reference: EmelyanovSVVariable Structure Control Systems1967MoscowNauka0217.58102 – reference: HuangJZhangWShiMChenLYuLH∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^\infty $$\end{document} Observer design for singular one-sided Lur’e differential inclusion systemJ. Frankl. Inst.201735433053321363453310.1016/j.jfranklin.2017.02.030 – reference: AdlySHantouteALeBKMaximal monotonicity and cyclic-monotonicity arising in nonsmooth Lur’e dynamical systemsJ. Math. Anal. Appl.20174481691706357990610.1016/j.jmaa.2016.11.025 – reference: AdlySHantouteALeBKNonsmooth Lur’e dynamical systems in Hilbert spacesSet Valued Var. Anal.20162411335345926810.1007/s11228-015-0334-7 – reference: UtkinVIVariable structure systems with sliding modesIEEE Trans. Autom. Control197722221222248466410.1109/TAC.1977.1101446 – reference: HuangJZhangJHanZA note on adaptive observer for the Lur’e differential inclusion systemNonlinear Dyn.20168612271237354657210.1007/s11071-016-2959-y – reference: TanwaniABrogliatoBPrieurCStability and observer design for Lur’e systems with multivalued, non-monotone, time-varying nonlinearities and state jumpsSIAM J. Control Optim.201452636393672327721210.1137/120902252 – reference: UtkinVISliding Modes and Their Application in Variable Structure Systems1978MoscowMIR Publishers0398.93003 – reference: Xiang, J., Su, H., Chu, J.: On the design of Walcott-Zak sliding mode observer. In: Proceedings of the American Control Conference, Portland, OR, pp. 2451–2456 (2005) – reference: BrogliatoBAbsolute stability and the Lagrange–Dirichlet theorem with monotone multivalued mappingsSyst. Control Lett.2004515343353204174710.1016/j.sysconle.2003.09.007 – reference: ShowalterREMonotone Operators in Banach Spaces and Nonlinear Partial Differential Equations1997Providence, RIAmerican Mathematical Society0870.35004 – volume-title: Modern Sliding Mode Control Theory: New Perspectives and Applications, Lecture Notes in Control and Information Sciences year: 2008 ident: 2027_CR6 doi: 10.1007/978-3-540-79016-7 – volume: 29 start-page: 204 year: 1975 ident: 2027_CR19 publication-title: Inf. Control doi: 10.1016/S0019-9958(75)90382-4 – volume: 54 start-page: 1996 issue: 8 year: 2009 ident: 2027_CR11 publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2009.2023968 – volume: 157 start-page: 397 issue: 2 year: 2016 ident: 2027_CR12 publication-title: Math. Program. doi: 10.1007/s10107-015-0945-7 – volume-title: Variable Structure Control Systems year: 1967 ident: 2027_CR13 – volume: 32 start-page: 166 issue: 2 year: 1987 ident: 2027_CR36 publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.1987.1104530 – volume: 51 start-page: 343 issue: 5 year: 2004 ident: 2027_CR8 publication-title: Syst. Control Lett. doi: 10.1016/j.sysconle.2003.09.007 – volume: 86 start-page: 1227 year: 2016 ident: 2027_CR17 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-016-2959-y – volume: 74 start-page: 195 year: 2011 ident: 2027_CR9 publication-title: Nonlinear Anal. Theory Methods Appl. doi: 10.1016/j.na.2010.08.034 – volume-title: Monotone Operators in Banach Spaces and Nonlinear Partial Differential Equations year: 1997 ident: 2027_CR25 – volume: 17 start-page: 471 year: 1973 ident: 2027_CR32 publication-title: Int. J. Control doi: 10.1080/00207177308932395 – volume-title: Nonsmooth Modeling and Simulation for Switched Circuits, Lecture Notes in Electrical Engineering year: 2011 ident: 2027_CR1 doi: 10.1007/978-90-481-9681-4 – volume-title: Dissipative Systems Analysis and Control year: 2020 ident: 2027_CR10 doi: 10.1007/978-3-030-19420-8 – volume: 37 start-page: 1923 year: 2001 ident: 2027_CR4 publication-title: Automatica doi: 10.1016/S0005-1098(01)00160-1 – volume: 13 start-page: 443 year: 2003 ident: 2027_CR29 publication-title: Int. J. Robust. Nonlinear Control doi: 10.1002/rnc.723 – volume: 52 start-page: 3639 issue: 6 year: 2014 ident: 2027_CR30 publication-title: SIAM J. Control Optim. doi: 10.1137/120902252 – volume-title: Control Systems of Variable Structure year: 1976 ident: 2027_CR20 – volume: 8 start-page: 74 year: 1964 ident: 2027_CR23 publication-title: IEEE Trans. Mil. Electron. doi: 10.1109/TME.1964.4323124 – ident: 2027_CR27 doi: 10.23919/ACC.1986.4789217 – volume: 62 start-page: 3 issue: 1 year: 2020 ident: 2027_CR7 publication-title: SIAM Rev. doi: 10.1137/18M1234795 – volume-title: Sliding Modes and Their Application in Variable Structure Systems year: 1978 ident: 2027_CR34 – volume: 38 start-page: 2090 year: 2014 ident: 2027_CR16 publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2013.10.020 – volume: 56 start-page: 751 issue: 2 year: 2018 ident: 2027_CR31 publication-title: SIAM J. Control Optim. doi: 10.1137/16M1083657 – volume: 24 start-page: 13 issue: 1 year: 2016 ident: 2027_CR2 publication-title: Set Valued Var. Anal. doi: 10.1007/s11228-015-0334-7 – volume: 18 start-page: 88 issue: 1 year: 1988 ident: 2027_CR37 publication-title: IEEE Trans. Syst. Man Cybern. Syst. doi: 10.1109/21.87057 – ident: 2027_CR38 – volume: 448 start-page: 691 issue: 1 year: 2017 ident: 2027_CR3 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2016.11.025 – ident: 2027_CR14 doi: 10.3182/20020721-6-ES-1901.00236 – volume: 11 start-page: 190 year: 1966 ident: 2027_CR24 publication-title: IEEE Trans. Autom. Control. doi: 10.1109/TAC.1966.1098323 – volume: 354 start-page: 3305 year: 2017 ident: 2027_CR18 publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2017.02.030 – volume: 22 start-page: 212 issue: 2 year: 1977 ident: 2027_CR33 publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.1977.1101446 – ident: 2027_CR5 doi: 10.3182/20140824-6-ZA-1003.02175 – volume: 28 start-page: 537 year: 2020 ident: 2027_CR21 publication-title: Set Valued Var. Anal. doi: 10.1007/s11228-020-00530-8 – volume-title: Sliding Mode Control and Observation year: 2013 ident: 2027_CR26 – volume: 39 start-page: 751 issue: 8 year: 2008 ident: 2027_CR28 publication-title: Int. J. Syst. Sci. doi: 10.1080/00207720701847638 – volume: 16 start-page: 2869 year: 2011 ident: 2027_CR15 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2010.09.036 – volume: 69 start-page: 1187 year: 2020 ident: 2027_CR22 publication-title: Optimization doi: 10.1080/02331934.2019.1686504 – volume-title: Sliding Modes in Control Optimization year: 1992 ident: 2027_CR35 doi: 10.1007/978-3-642-84379-2 |
| SSID | ssj0009874 |
| Score | 2.3467414 |
| Snippet | Designing observers for dynamical systems plays an important role in the modern control theory due to the lack of full information in measured outputs. The... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 290 |
| SubjectTerms | Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Control theory Convergence Dynamical systems Engineering Linear transformations Mathematics Mathematics and Statistics Observers Operations Research/Decision Theory Optimization Sliding mode control Theory of Computation Time dependence Uncertainty |
| SummonAdditionalLinks | – databaseName: SpringerLink Journals (ICM) dbid: U2A link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV29TsMwELagLDAgfkWhIA9sYCmxkzgeK6CqEIWhBHVBUexzJKSqRW2qrrwGr8eTYKdOUxAgsSWK4-HufPfZvvsOoXODQZiKMkZkpgNiIj4QqYwzVAB-JngOYWirkXv3UTcJbgfhwBWFTats9-pKsvTUK8VuIuTEZp97dsdO5utoIzRPNpEroe2aajeuuJcpYZQJVyrz8xxfw1GNMb9di5bRprODth1MxO2FXnfRmh7toa0V8kDz1lsyrk730XN_-GLDELbNzfCDtIetBtlhg0mxLfMg167bbYH7uiBP2XCmAd_NJh9v7xo73nJs3Ig9l8HFGCfGGspsAcu4eoCSzs3jVZe41glEmf1UQRiETDAjf6F8AZQZFKQikJnIAshlzgB4IC15mO_lXAiIcvA597T2c7NlFT47RI3ReKSPEA54rCQwkDnQgEMQ0zyUAFRKFikh4ybyKwmmyvGK2_YWw7RmRLZST43U01Lq6byJLpb_vC5YNf4c3aoUk7oVNk1pZKKqpa_3muiyUlb9-ffZjv83_ARt0tJebIZuCzWKyUyfGhxSyLPS7D4BZXPV-Q priority: 102 providerName: Springer Nature |
| Title | Sliding Mode Observers for Time-Dependent Set-Valued Lur’e Systems Subject to Uncertainties |
| URI | https://link.springer.com/article/10.1007/s10957-022-02027-w https://www.proquest.com/docview/2671806620 |
| Volume | 194 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3NbhMxEB7R5AIHxK8ItJEP3MAia--fTygpSSugAVGCygGt1h6vVClKSrNRr7wGr8eTMLP1dilSe1qt7PVhZnbm89jzDcBLwiDapaWWtvSxpIiP0jpyhg4xKk1WYZJwNfLRPD1cxO9PkpOQcNuEa5WtT2wcNa4d58jfqJS8KNOVj96e_ZTcNYpPV0MLjR3okwvO8x70J9P55y8d7W7e8jArqZU2oWwmFM-ZJJM8MuIMgLy4Hpo6vPnfEWkTeWYP4H6AjGJ8qeOHcMevHsG9f4gE6e3oin118xh-HC9POSQJbnQmPllOvBLKE4RPBZd8yHeh820tjn0tv5XLrUfxcXv-59dvLwKHuSCXwjkaUa_FgiyjuTnA7KtPYDGbft0_lKGNgnS0t6qlxkQbTbowLjKoNCEil6ItTRljZSuNmMWWicSiUZUZg2mFUZaNvI8q2r6aSD-F3mq98s9AxFnuLGq0Fao4wzhXVWIRlbU6dcbmA4haCRYucIxzq4tl0bEjs9QLknrRSL24GMCrq2_OLhk2bp292yqmCH_bpuhsYwCvW2V1wzev9vz21V7AXdXYB9_O3YVefb71e4RBajuEnXx2MIT-eDaZzPl58P3DdBjMj0YXavwXedDezQ |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3NbtQwEB6V9gA9oJYfsVBaH-AEFhs7fz5UCLXdbuluObSLekEh9jhSpdVu6Wa14sZr9CV4KJ6EmWzSABK99Rg5tqLxl_mz5xuAV-SDaBfnWtrch5IsPkrrSBk6xCA3SYFRxNXIw5O4Pwo_nkfnK_CzqYXha5WNTqwUNU4d58jfqZi0KNOVd99ffpPcNYpPV5sWGktYHPvvCwrZZrtH-7S_r5XqHZzt9WXdVUA6CjVKqTHSRtOnGRcYVJocBBejzU0eYmELjZiElnm1gm6RGINxgUGSdL0PCormTKBp3XuwFtJEDvbS3mFL8ps2rM9KaqVNXaRTl-qZKJE80uV8g1z8bQhb7_afA9nKzvU24GHtoIoPS0RtwoqfPIL1P2gL6Wl4w_U6ewxfTscXbAAFt1UTnyynecmnFOQNCy4wkft1n91SnPpSfs7Hc49iML_69ePai5oxXZAC44yQKKdiRDis7ikw1-sTGN2JeJ_C6mQ68c9AhEnqLGq0BaowwTBVRWQRlbU6dsamHQgaCWauZjTnxhrjrOViZqlnJPWsknq26MCbmzmXSz6PW9_eajYmq__tWdYisQNvm81qh_-_2vPbV9uB-_2z4SAbHJ0cv4AHqsIK3wvegtXyau5fkvdT2u0KcgK-3jXGfwMjWxW7 |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3NbtNAEB6VVEJwQPyKlAJ7gBOsGu_6J3tACEijlrahogT1UhnvzlpCipK2cRRx4zV4FR6HJ2HGWdeARG89WrZX1uzn-duZbwCekQ-iXVpoaQsfS7L4KK0jZegQo8JkJSYJdyMfjNKdcfz-ODleg59NLwyXVTY6sVbUOHOcI99SKWlRpivvbZWhLOJwMHx9eiZ5ghSftDbjNFYQ2fPflhS-zV_tDmivnys13P70bkeGCQPSUdhRSY2JNpo-07jIoNLkLLgUbWGKGEtbasQstsyxFfXKzBhMS4yyrOd9VFJkZyJN616D9Yyjog6sv90eHX5sKX_7DQe0klppE1p2QuOeSTLJd3qcfZDLv81i6-v-czxbW73hbbgV3FXxZoWvO7Dmp3fh5h8khnR1cMH8Or8HJ0eTr2wOBQ9ZEx8sJ33JwxTkGwtuN5GDMHW3Eke-kp-LycKj2F-c__r-w4vAny5InXF-SFQzMSZU1lULzPx6H8ZXIuAH0JnOpv4hiDjrO4sabYkqzjDuqzKxiMpanTpj-12IGgnmLvCb85iNSd4yM7PUc5J6Xks9X3bhxcU7pyt2j0uf3mw2Jg9_-jxvcdmFl81mtbf_v9rG5as9heuE73x_d7T3CG6oGipcJLwJnep84R-TK1TZJwFzAr5cNcx_A7GrG00 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Sliding+Mode+Observers+for+Time-Dependent+Set-Valued+Lur%E2%80%99e+Systems+Subject+to+Uncertainties&rft.jtitle=Journal+of+optimization+theory+and+applications&rft.au=Le%2C+Ba+Khiet&rft.date=2022-07-01&rft.pub=Springer+Nature+B.V&rft.issn=0022-3239&rft.eissn=1573-2878&rft.volume=194&rft.issue=1&rft.spage=290&rft.epage=305&rft_id=info:doi/10.1007%2Fs10957-022-02027-w&rft.externalDBID=HAS_PDF_LINK |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-3239&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-3239&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-3239&client=summon |