Stabilization of Delayed Fuzzy Neutral-type Systems Under Intermittent Control
This study is concerned about the stabilization for delayed fuzzy neutral-type system (DFNTS) with uncertain parameters under intermittent control. Firstly, by constructing the augmented Lyapunov-Krasovskii functional (LKF) about different time delays along with single and double auxillary function-...
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| Published in | International journal of control, automation, and systems Vol. 19; no. 3; pp. 1408 - 1425 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bucheon / Seoul
Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
01.03.2021
Springer Nature B.V 제어·로봇·시스템학회 |
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| Online Access | Get full text |
| ISSN | 1598-6446 2005-4092 |
| DOI | 10.1007/s12555-020-0526-2 |
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| Abstract | This study is concerned about the stabilization for delayed fuzzy neutral-type system (DFNTS) with uncertain parameters under intermittent control. Firstly, by constructing the augmented Lyapunov-Krasovskii functional (LKF) about different time delays along with single and double auxillary function-based integral inequalities (SAFBII, and DAFBII, respectively), a new class of delay-dependent adequate conditions are proposed, so that the robust fuzzy neutral-type system under consideration is guaranteed to be globally asymptotically stable (GAS). Secondly, the intermittent control (IC) is introduced to stabilize the system with mixed time-varying delays. In the view of inferred adequate conditions, the IC parameters are determined as for the arrangement of linear matrix inequalities (LMIs). It is noted that the strategies exploited in this work are apart from the other methods engaged in the literature, and the proposed conditions are less conservative. Finally, numerical examples are given to demonstrate the effectiveness of the developed techniques in this work. One of the practical applications is single-link robot arm (SLRA) model to show the viability and benefits of the structured intermittent control. |
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| AbstractList | This study is concerned about the stabilization for delayed fuzzy neutral-type system (DFNTS) with uncertain parameters under intermittent control. Firstly, by constructing the augmented Lyapunov-Krasovskii functional (LKF) about different time delays along with single and double auxillary function-based integral inequalities (SAFBII, and DAFBII, respectively), a new class of delay-dependent adequate conditions are proposed, so that the robust fuzzy neutral-type system under consideration is guaranteed to be globally asymptotically stable (GAS). Secondly, the intermittent control (IC) is introduced to stabilize the system with mixed time-varying delays. In the view of inferred adequate conditions, the IC parameters are determined as for the arrangement of linear matrix inequalities (LMIs). It is noted that the strategies exploited in this work are apart from the other methods engaged in the literature, and the proposed conditions are less conservative. Finally, numerical examples are given to demonstrate the effectiveness of the developed techniques in this work. One of the practical applications is single-link robot arm (SLRA) model to show the viability and benefits of the structured intermittent control. This study is concerned about the stabilization for delayed fuzzy neutral-type system (DFNTS) with uncertain parameters under intermittent control. Firstly, by constructing the augmented Lyapunov-Krasovskii functional (LKF) about different time delays along with single and double auxillary function-based integral inequalities (SAFBII, and DAFBII, respectively), a new class of delay-dependent adequate conditions are proposed, so that the robust fuzzy neutral-type system under consideration is guaranteed to be globally asymptotically stable (GAS). Secondly, the intermittent control (IC) is introduced to stabilize the system with mixed time-varying delays. In the view of inferred adequate conditions, the IC parameters are determined as for the arrangement of linear matrix inequalities (LMIs). It is noted that the strategies exploited in this work are apart from the other methods engaged in the literature, and the proposed conditions are less conservative. Finally, numerical examples are given to demonstrate the effectiveness of the developed techniques in this work. One of the practical applications is single-link robot arm(SLRA) model to show the viability and benefits of the structured intermittet control. KCI Citation Count: 10 |
| Author | Vadivel, R. Unyong, B. Saravanan, S. Hammachukiattikul, P. Lee, Gyu M. Hong, Keum-Shik |
| Author_xml | – sequence: 1 givenname: R. surname: Vadivel fullname: Vadivel, R. organization: Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University – sequence: 2 givenname: S. surname: Saravanan fullname: Saravanan, S. organization: School of Mechanical Engineering, Pusan National University – sequence: 3 givenname: B. surname: Unyong fullname: Unyong, B. organization: Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University – sequence: 4 givenname: P. surname: Hammachukiattikul fullname: Hammachukiattikul, P. organization: Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University – sequence: 5 givenname: Keum-Shik surname: Hong fullname: Hong, Keum-Shik organization: School of Mechanical Engineering, Pusan National University – sequence: 6 givenname: Gyu M. orcidid: 0000-0001-5466-6244 surname: Lee fullname: Lee, Gyu M. email: glee@pnu.edu organization: Department of Industrial Engineering, Pusan National University |
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| CitedBy_id | crossref_primary_10_1016_j_isatra_2022_04_017 crossref_primary_10_3390_pr11010121 crossref_primary_10_1016_j_chaos_2024_114476 crossref_primary_10_1371_journal_pone_0261709 crossref_primary_10_1007_s12555_021_1077_x crossref_primary_10_3390_math11214435 crossref_primary_10_1007_s12555_021_0891_5 crossref_primary_10_3390_su151813844 crossref_primary_10_1007_s12555_021_0348_x crossref_primary_10_1155_2022_4071375 |
| Cites_doi | 10.1016/j.jfranklin.2011.04.015 10.1016/j.sigpro.2017.01.028 10.1109/91.919253 10.1109/TSMC.2018.2884491 10.1007/s12555-018-0279-3 10.1007/s00034-014-9771-z 10.1016/j.ins.2019.04.057 10.1016/j.fss.2008.10.014 10.1007/BF00351465 10.1016/j.chaos.2019.06.038 10.1109/TSMC.2018.2818129 10.1016/j.jfranklin.2019.02.043 10.1007/s12555-018-0802-6 10.1016/j.jfranklin.2018.06.025 10.1109/TSMC.2020.2965091 10.1007/s00034-014-9909-z 10.1007/978-3-319-09393-2 10.1016/j.jfranklin.2010.06.011 10.1016/j.neucom.2015.08.036 10.1016/j.amc.2018.08.009 10.1109/TCYB.2020.2996743 10.1007/s12555-019-0322-z 10.1016/j.chaos.2019.01.038 10.1002/oca.2107 10.1016/j.neucom.2015.08.027 10.1016/j.isatra.2015.11.004 10.1016/j.jfranklin.2019.01.011 10.1016/j.fss.2014.10.023 10.1016/S0005-1098(03)00167-5 10.1109/TSMC.2019.2914491 10.1007/s11071-011-9987-4 10.1016/j.isatra.2018.11.034 10.1016/j.chaos.2007.01.002 10.1016/j.sysconle.2018.07.013 10.1016/j.isatra.2019.09.007 10.1007/s11071-012-0362-x 10.1007/s11071-015-2265-0 10.1007/s12555-019-0046-0 10.1016/j.jfranklin.2015.01.004 10.1109/TSMC.2017.2756912 |
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| Keywords | Global asymptotic stability time-varying delay Lyapunov-Krasovskii functional intermittent control linear matrix inequality |
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| SubjectTerms | Control Engineering Fuzzy systems Linear matrix inequalities Mechatronics Parameter uncertainty Regular Papers Robot arms Robotics Robustness (mathematics) Stabilization 제어계측공학 |
| Title | Stabilization of Delayed Fuzzy Neutral-type Systems Under Intermittent Control |
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