Robust estimation of interconnected systems subject to sensor nonlinearities
SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor no...
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Published in | Optimal control applications & methods Vol. 34; no. 6; pp. 656 - 669 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Blackwell Publishing Ltd
01.11.2013
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Subjects | |
Online Access | Get full text |
ISSN | 0143-2087 1099-1514 |
DOI | 10.1002/oca.2045 |
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Abstract | SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor nonlinearities are modeled as sector nonlinearities. The design procedure utilizes a general linear estimator structure and consists of two steps: the first giving a block‐diagonal Lyapunov matrix together with the robustness degree and the second determining the filter parameters. A numerical example is provided to illustrate the applicability of the method. Copyright © 2012 John Wiley & Sons, Ltd. |
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AbstractList | An efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor nonlinearities are modeled as sector nonlinearities. The design procedure utilizes a general linear estimator structure and consists of two steps: the first giving a block‐diagonal Lyapunov matrix together with the robustness degree and the second determining the filter parameters. A numerical example is provided to illustrate the applicability of the method. Copyright © 2012 John Wiley & Sons, Ltd. SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor nonlinearities are modeled as sector nonlinearities. The design procedure utilizes a general linear estimator structure and consists of two steps: the first giving a block‐diagonal Lyapunov matrix together with the robustness degree and the second determining the filter parameters. A numerical example is provided to illustrate the applicability of the method. Copyright © 2012 John Wiley & Sons, Ltd. |
Author | AL-Sunni, Fouad M. Mahmoud, Magdi S. |
Author_xml | – sequence: 1 givenname: Magdi S. surname: Mahmoud fullname: Mahmoud, Magdi S. email: Correspondence to: Magdi S. Mahmoud, Systems Engineering Department, King Fahd University of Petroleum and Minerals, P. O. Box 5067, Dhahran 31261, Saudi Arabia., msmahmoud@kfupm.edu.sa organization: Systems Engineering Department, King Fahd University of Petroleum and Minerals, 31261, P. O. Box 5067Dhahran, Saudi Arabia – sequence: 2 givenname: Fouad M. surname: AL-Sunni fullname: AL-Sunni, Fouad M. organization: Systems Engineering Department, King Fahd University of Petroleum and Minerals, 31261, P. O. Box 5067Dhahran, Saudi Arabia |
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Cites_doi | 10.1002/rnc.4590020202 10.1109/78.482099 10.1109/TCSI.2003.813967 10.3166/ejc.15.624-633 10.1109/TFUZZ.2012.2196522 10.1016/0005-1098(93)90148-M 10.1109/78.942638 10.1080/00207170701760144 10.1109/9.774121 10.1093/imamci/dnq006 10.1007/s10957-010-9724-z 10.1109/81.948442 10.1109/TSP.2005.857009 10.1201/b10349 10.1049/ip-cta:20051011 10.1016/j.automatica.2004.05.007 10.1016/0024-3795(94)90374-3 10.1109/9.67291 10.1007/978-3-540-37010-9 10.1049/iet-cta:20045281 10.1093/imamci/6.2.233 10.1049/iet-cta:20060238 10.1007/978-0-85729-290-2 10.1109/TAC.2011.2166729 10.1002/(SICI)1099-1239(199605)6:4<313::AID-RNC235>3.0.CO;2-8 10.1109/TSMCB.2010.2051541 10.1007/s10957-009-9571-y 10.1109/TFUZZ.2011.2104363 |
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Decentralized reliable control of interconnected time-delays systems against sensor failures. Journal of Optimization Theory and Applications 2010; 147(2):318-336. Mahmoud MS, Boujarwah AA. Robust H∞ filtering for a class of linear parameter-varying systems. IEEE Transactions on Circuits and Systems-I 2001; 48:1131-1138. Khargonekar PP, Rotea MA, Baynes E. Mixed H2∕H∞ filtering. International Journal of Robust and Nonlinear Control 1996; 6:313-330. Tarbouriech S, Garcia G, Glattfelder AH. Advanced Strategies in Control Systems with Input and Output Constraints. Springer-Verlag: Germany, 2007. Mahmoud MS. Decentralized Control and Filtering for Interconnected Dynamical Systems. CRC Press: New York, 2010. Hassan MF, Zribi M, Tawfik M. State estimation of constrained nonlinear discrete-time dynamical systems. International Journal of Innovative Computing, Information and Control 2010; 6(10):4449-4470. Wu LG, Su X, Shi P, Qiu J. A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2011; 41(1):273-286. Shaked U, de Souza CE. Robust minimum variance filtering. IEEE Transactions on Signal Processing 1995; 43:2474-2483. Mahmoud MS. Robust linear filtering of uncertain systems. Automatica 2004; 40:1797-1802. Cao Y, Lin Z, Chen B. An output feedback H∞ controller design for linear systems subject to sensor nonlinearities. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 2003; 50(7):914-921. Geromel JC, Bernussou J, de Oliveira MC. H2 norm optimization with constrained dynamic output feedback controllers: decentralized and reliable control. IEEE Transactions on Automatic Control 1999; 44:1449-1454. Iftar A. Decentralized estimation and control with overlapping input, state and output decomposition. Automatica 1993; 29:511-516. Zuo Z, Wang J, Huang L. Output feedback H∞ controller design for linear discrete-time systems with sensor nonlinearities. IEE Proceedings on Control Theory and Applications 2005; 152(1):19-26. Mahmoud MS. Decentralized Systems with Design Constraints. Springer-Verlag: UK, 2011. Fu M, de Souza CE, Xie L. H∞-estimation for uncertain systems. International Journal of Robust and Nonlinear Control 1992; 2:87-105. Mahmoud MS, Almutairi NB. Decentralized stabilization of interconnected systems with time-varying delays. European Journal of Control 2009; 15(6):624-633. Koplon RB, Sontag ED, Hantus MLJ. Observability of linear systems with saturated outputs. Linear Algebra Applications 1994; 205/206:909-936. Su X, Shi P, Wu L, Song Y. A Novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay. IEEE Transactions on Fuzzy Systems. DOI: 10.1109/TFUZZ.2012.2196522. Nagpal KM, Khargonekar PP. Filtering and smoothing in H∞ setting. IEEE Transactions on Automatic Control 1991; 36:152-166. Mahmoud MS. Decentralized stabilization approach of interconnected discrete-time delay systems with bounded nonlinearities. IMA Journal of Mathematical Control and Information 2010; 27(2):165-188. Yang Rm, Shi P, Liu GP. Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts. IEEE Transactions on Automatic Control 2011; 56(11):2655-2660. Mahmoud MS, Hassan MF, Darwish MG. Large Scale Control Systems: Theories and Techniques. Marcel Dekker Inc.: New York, 1985. Gao H, Lam J, Wang C. Induced L2 and generalized H2 filtering for systems with repeated scalar nonlinearities. IEEE Transactions on Signal Processingt 2005; 53(11):4215-4226. Zhou B, Duan G-R. A novel nested nonlinear feedback law for global stabilization of linear systems with bounded controls. International Journal of Control 2008; 81(9):1352-1363. 2004; 40 1993; 29 1991; 36 2005; 152 2011 2010 2010; 147 1989; 6 1999; 44 2007 2001; 48 2001; 49 2011; 56 2003; 50 2011; 19 1994; 205/206 2010; 27 1995; 43 2009; 143 2011; 41 2005; 53 1985 2007; 1 2008; 81 1992; 2 2009; 15 2010; 6 1996; 6 Mahmoud MS (e_1_2_6_17_1) 1985 e_1_2_6_10_1 e_1_2_6_31_1 e_1_2_6_30_1 e_1_2_6_19_1 e_1_2_6_13_1 e_1_2_6_14_1 e_1_2_6_11_1 e_1_2_6_12_1 e_1_2_6_18_1 e_1_2_6_15_1 e_1_2_6_16_1 e_1_2_6_21_1 e_1_2_6_20_1 e_1_2_6_9_1 e_1_2_6_8_1 e_1_2_6_5_1 e_1_2_6_4_1 e_1_2_6_7_1 e_1_2_6_6_1 Hassan MF (e_1_2_6_27_1) 2010; 6 e_1_2_6_25_1 e_1_2_6_24_1 e_1_2_6_3_1 e_1_2_6_23_1 e_1_2_6_2_1 e_1_2_6_22_1 e_1_2_6_29_1 e_1_2_6_28_1 e_1_2_6_26_1 |
References_xml | – reference: Elsayed A, Grimble MJ. A new approach to H∞ design of optimal digital linear filters. IMA Journal of Mathematical Control and Information 1989; 6(2):233-251. – reference: Koplon RB, Sontag ED, Hantus MLJ. Observability of linear systems with saturated outputs. Linear Algebra Applications 1994; 205/206:909-936. – reference: Shaked U, de Souza CE. Robust minimum variance filtering. IEEE Transactions on Signal Processing 1995; 43:2474-2483. – reference: Mahmoud MS, Almutairi NB. Decentralized stabilization of interconnected systems with time-varying delays. European Journal of Control 2009; 15(6):624-633. – reference: Cao Y, Lin Z, Chen B. An output feedback H∞ controller design for linear systems subject to sensor nonlinearities. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 2003; 50(7):914-921. – reference: Nagpal KM, Khargonekar PP. Filtering and smoothing in H∞ setting. IEEE Transactions on Automatic Control 1991; 36:152-166. – reference: Mahmoud MS. Decentralized stabilization approach of interconnected discrete-time delay systems with bounded nonlinearities. IMA Journal of Mathematical Control and Information 2010; 27(2):165-188. – reference: Mahmoud MS. Decentralized Systems with Design Constraints. Springer-Verlag: UK, 2011. – reference: Wu LG, Su X, Shi P, Qiu J. Model approximation for discrete-time state-delay systems in the T-S fuzzy framework. IEEE Transactions on Fuzzy Systems 2011; 19(2): 366-378. – reference: Su X, Shi P, Wu L, Song Y. A Novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay. IEEE Transactions on Fuzzy Systems. DOI: 10.1109/TFUZZ.2012.2196522. – reference: Gao H, Lam J, Wang C. Induced L2 and generalized H2 filtering for systems with repeated scalar nonlinearities. IEEE Transactions on Signal Processingt 2005; 53(11):4215-4226. – reference: Mahmoud MS. Robust linear filtering of uncertain systems. Automatica 2004; 40:1797-1802. – reference: Geromel JC, Bernussou J, de Oliveira MC. H2 norm optimization with constrained dynamic output feedback controllers: decentralized and reliable control. IEEE Transactions on Automatic Control 1999; 44:1449-1454. – reference: Khargonekar PP, Rotea MA, Baynes E. Mixed H2∕H∞ filtering. International Journal of Robust and Nonlinear Control 1996; 6:313-330. – reference: Fu M, de Souza CE, Luo Z. Finite-horizon robust Kalman filter design. IEEE Transactions on Signal Processing 2001; 49(9):2103-2112. – reference: Mahmoud MS, Boujarwah AA. Robust H∞ filtering for a class of linear parameter-varying systems. IEEE Transactions on Circuits and Systems-I 2001; 48:1131-1138. – reference: Zhou B, Duan G-R. A novel nested nonlinear feedback law for global stabilization of linear systems with bounded controls. International Journal of Control 2008; 81(9):1352-1363. – reference: Mahmoud MS. Decentralized Control and Filtering for Interconnected Dynamical Systems. CRC Press: New York, 2010. – reference: Fu M, de Souza CE, Xie L. H∞-estimation for uncertain systems. International Journal of Robust and Nonlinear Control 1992; 2:87-105. – reference: Tarbouriech S, Garcia G, Glattfelder AH. Advanced Strategies in Control Systems with Input and Output Constraints. Springer-Verlag: Germany, 2007. – reference: Wu LG, Su X, Shi P, Qiu J. A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2011; 41(1):273-286. – reference: Mahmoud MS. Resilient L2∕L∞ filtering of polytopic systems with state-delays. IEE Proceedings Control Theory and Applications 2007; 1:141-154. – reference: Zuo Z, Wang J, Huang L. Output feedback H∞ controller design for linear discrete-time systems with sensor nonlinearities. IEE Proceedings on Control Theory and Applications 2005; 152(1):19-26. – reference: Mahmoud MS. Decentralized reliable control of interconnected systems with time-varying delays. Journal of Optimization Theory and Applications 2009; 143(2):497-518. – reference: Yang Rm, Shi P, Liu GP. Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts. IEEE Transactions on Automatic Control 2011; 56(11):2655-2660. – reference: Mahmoud MS, Hassan MF, Darwish MG. Large Scale Control Systems: Theories and Techniques. Marcel Dekker Inc.: New York, 1985. – reference: Iftar A. Decentralized estimation and control with overlapping input, state and output decomposition. Automatica 1993; 29:511-516. – reference: Al-Rayyah AY, Mahmoud MS. Decentralized reliable control of interconnected time-delays systems against sensor failures. Journal of Optimization Theory and Applications 2010; 147(2):318-336. – reference: Hassan MF, Zribi M, Tawfik M. State estimation of constrained nonlinear discrete-time dynamical systems. International Journal of Innovative Computing, Information and Control 2010; 6(10):4449-4470. – reference: Jiang X, Han QL. Delay-dependent H∞ filter design for linear systems with interval time-varying delay. IET Control Theory and Applications 2007; 1(4):1131-1140. – volume: 1 start-page: 141 year: 2007 end-page: 154 article-title: Resilient ∕ filtering of polytopic systems with state‐delays publication-title: IEE Proceedings Control Theory and Applications – year: 1985 – year: 2011 – volume: 6 start-page: 313 year: 1996 end-page: 330 article-title: Mixed ∕ filtering publication-title: International Journal of Robust and Nonlinear Control – year: 2007 – volume: 53 start-page: 4215 issue: 11 year: 2005 end-page: 4226 article-title: Induced and generalized filtering for systems with repeated scalar nonlinearities publication-title: IEEE Transactions on Signal Processingt – volume: 48 start-page: 1131 year: 2001 end-page: 1138 article-title: Robust filtering for a class of linear parameter‐varying systems publication-title: IEEE Transactions on Circuits and Systems‐I – volume: 6 start-page: 4449 issue: 10 year: 2010 end-page: 4470 article-title: State estimation of constrained nonlinear discrete‐time dynamical systems publication-title: International Journal of Innovative Computing, Information and Control – volume: 205/206 start-page: 909 year: 1994 end-page: 936 article-title: Observability of linear systems with saturated outputs publication-title: Linear Algebra Applications – volume: 41 start-page: 273 issue: 1 year: 2011 end-page: 286 article-title: A new approach to stability analysis and stabilization of discrete‐time T–S fuzzy time‐varying delay systems publication-title: IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics – volume: 15 start-page: 624 issue: 6 year: 2009 end-page: 633 article-title: Decentralized stabilization of interconnected systems with time‐varying delays publication-title: European Journal of Control – volume: 2 start-page: 87 year: 1992 end-page: 105 article-title: ‐estimation for uncertain systems publication-title: International Journal of Robust and Nonlinear Control – volume: 43 start-page: 2474 year: 1995 end-page: 2483 article-title: Robust minimum variance filtering publication-title: IEEE Transactions on Signal Processing – year: 2010 – volume: 6 start-page: 233 issue: 2 year: 1989 end-page: 251 article-title: A new approach to design of optimal digital linear filters publication-title: IMA Journal of Mathematical Control and Information – volume: 81 start-page: 1352 issue: 9 year: 2008 end-page: 1363 article-title: A novel nested nonlinear feedback law for global stabilization of linear systems with bounded controls publication-title: International Journal of Control – volume: 27 start-page: 165 issue: 2 year: 2010 end-page: 188 article-title: Decentralized stabilization approach of interconnected discrete‐time delay systems with bounded nonlinearities publication-title: IMA Journal of Mathematical Control and Information – volume: 40 start-page: 1797 year: 2004 end-page: 1802 article-title: Robust linear filtering of uncertain systems publication-title: Automatica – volume: 152 start-page: 19 issue: 1 year: 2005 end-page: 26 article-title: Output feedback controller design for linear discrete‐time systems with sensor nonlinearities publication-title: IEE Proceedings on Control Theory and Applications – volume: 50 start-page: 914 issue: 7 year: 2003 end-page: 921 article-title: An output feedback controller design for linear systems subject to sensor nonlinearities publication-title: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications – volume: 29 start-page: 511 year: 1993 end-page: 516 article-title: Decentralized estimation and control with overlapping input, state and output decomposition publication-title: Automatica – volume: 1 start-page: 1131 issue: 4 year: 2007 end-page: 1140 article-title: Delay‐dependent filter design for linear systems with interval time‐varying delay publication-title: IET Control Theory and Applications – volume: 56 start-page: 2655 issue: 11 year: 2011 end-page: 2660 article-title: Filtering for discrete‐time networked nonlinear systems with mixed random delays and packet dropouts publication-title: IEEE Transactions on Automatic Control – volume: 19 start-page: 366 issue: 2 year: 2011 end-page: 378 article-title: Model approximation for discrete‐time state‐delay systems in the T–S fuzzy framework publication-title: IEEE Transactions on Fuzzy Systems – volume: 143 start-page: 497 issue: 2 year: 2009 end-page: 518 article-title: Decentralized reliable control of interconnected systems with time‐varying delays publication-title: Journal of Optimization Theory and Applications – article-title: A Novel approach to filter design for T–S fuzzy discrete‐time systems with time‐varying delay publication-title: IEEE Transactions on Fuzzy Systems – volume: 36 start-page: 152 year: 1991 end-page: 166 article-title: Filtering and smoothing in setting publication-title: IEEE Transactions on Automatic Control – volume: 49 start-page: 2103 issue: 9 year: 2001 end-page: 2112 article-title: Finite‐horizon robust Kalman filter design publication-title: IEEE Transactions on Signal Processing – volume: 44 start-page: 1449 year: 1999 end-page: 1454 article-title: norm optimization with constrained dynamic output feedback controllers: decentralized and reliable control publication-title: IEEE Transactions on Automatic Control – volume: 147 start-page: 318 issue: 2 year: 2010 end-page: 336 article-title: Decentralized reliable control of interconnected time‐delays systems against sensor failures publication-title: Journal of Optimization Theory and Applications – ident: e_1_2_6_4_1 doi: 10.1002/rnc.4590020202 – ident: e_1_2_6_5_1 doi: 10.1109/78.482099 – ident: e_1_2_6_31_1 doi: 10.1109/TCSI.2003.813967 – ident: e_1_2_6_23_1 doi: 10.3166/ejc.15.624-633 – ident: e_1_2_6_28_1 doi: 10.1109/TFUZZ.2012.2196522 – ident: e_1_2_6_20_1 doi: 10.1016/0005-1098(93)90148-M – ident: e_1_2_6_8_1 doi: 10.1109/78.942638 – ident: e_1_2_6_15_1 doi: 10.1080/00207170701760144 – ident: e_1_2_6_7_1 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Snippet | SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear... An efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections... |
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SubjectTerms | interconnected systems robust estimation sensor nonlinearities |
Title | Robust estimation of interconnected systems subject to sensor nonlinearities |
URI | https://api.istex.fr/ark:/67375/WNG-3FDPRNKH-C/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1002%2Foca.2045 |
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