Dwell-time approach to ℒ2-induced gain analysis of discrete-time switched systems subject to actuator saturation
This study investigates ℒ2-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted ℒ2-i...
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| Published in | IET control theory & applications Vol. 7; no. 2; pp. 290 - 297 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Stevenage
The Institution of Engineering and Technology
01.01.2013
John Wiley & Sons, Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1751-8644 1751-8652 |
| DOI | 10.1049/iet-cta.2012.0508 |
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| Abstract | This study investigates ℒ2-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted ℒ2-induced gain for this class of switched systems by dwell-time approach. Then the authors investigate the influence of parameter variations on the restricted ℒ2-induced gain, and present a state feedback design method for a fixed dwell time and an upper bound of restricted ℒ2-induced gain. In addition, the authors investigate the qualitative relationship between disturbances rejection capability and dwell time. A numerical example is provided to illustrate the effectiveness of our obtained results. |
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| AbstractList | This study investigates L sub( 2)-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted L sub( 2)-induced gain for this class of switched systems by dwell-time approach. Then the authors investigate the influence of parameter variations on the restricted L sub( 2)-induced gain, and present a state feedback design method for a fixed dwell time and an upper bound of restricted L sub( 2)-induced gain. In addition, the authors investigate the qualitative relationship between disturbances rejection capability and dwell time. A numerical example is provided to illustrate the effectiveness of our obtained results. This study investigates ℒ2 ‐induced gain from the input disturbance to output of discrete‐time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted ℒ2 ‐induced gain for this class of switched systems by dwell‐time approach. Then the authors investigate the influence of parameter variations on the restricted ℒ2 ‐induced gain, and present a state feedback design method for a fixed dwell time and an upper bound of restricted ℒ2 ‐induced gain. In addition, the authors investigate the qualitative relationship between disturbances rejection capability and dwell time. A numerical example is provided to illustrate the effectiveness of our obtained results. This study investigates L^sub 2^-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted L^sub 2^-induced gain for this class of switched systems by dwell-time approach. Then the authors investigate the influence of parameter variations on the restricted L^sub 2^-induced gain, and present a state feedback design method for a fixed dwell time and an upper bound of restricted L^sub 2^-induced gain. In addition, the authors investigate the qualitative relationship between disturbances rejection capability and dwell time. A numerical example is provided to illustrate the effectiveness of our obtained results. [PUBLICATION ABSTRACT] |
| Author | Yang, Xiao-Song Zhai, Shidong |
| Author_xml | – sequence: 1 givenname: Shidong surname: Zhai fullname: Zhai, Shidong organization: 1Department of Electronics and Information Engineering, School of Mathematics and Statistics, Huazhong University of Science and Technology, 430074 Wuhan, People's Republic of China – sequence: 2 givenname: Xiao-Song surname: Yang fullname: Yang, Xiao-Song email: yangxs@hust.edu.cn organization: 2School of Mathematics and Statistics, Huazhong University of Science and Technology, 430074 Wuhan, People's Republic of China |
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| Copyright | The Institution of Engineering and Technology 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology Copyright The Institution of Engineering & Technology Jan 2013 |
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| Keywords | input disturbance time-varying systems actuators dwell time approach discrete time systems linear matrix inequalities induced gain analysis control system synthesis state feedback actuator saturation state feedback design method discrete-time switched system subject |
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Control – volume: 43 start-page: 731 issue: 4 year: 2012 end-page: 740 article-title: ℒ ‐gain analysis and control synthesis of uncertain switched linear systems subject to actuator saturation publication-title: Int. J. Syst. Sci. – volume: 48 start-page: 964 issue: 5 year: 2012 end-page: 969 article-title: Discrete‐time switching linear system with constraints: characterization and computation of invariant sets under dwell‐time consideration publication-title: Automatica – volume: 54 start-page: 308 issue: 2 year: 2009 end-page: 322 article-title: Stability and stabilizability of switched linear systems: a survey of recent results publication-title: IEEE Trans. Autom. Control – start-page: 4064 year: 2010 end-page: 4069 – volume: 41 start-page: 397 issue: 4 year: 2010 end-page: 409 article-title: Stabilisation and control synthesis of switching systems subject to actuator saturation publication-title: Int. J. Syst. Sci. – volume: 2 start-page: 606 issue: 7 year: 2008 end-page: 614 article-title: Robust stability and stabilisation of uncertain switched linear discrete time‐delay systems publication-title: IET Proc., Control Theory Appl. – volume: 44 start-page: 2398 issue: 9 year: 2008 end-page: 2402 article-title: Root‐mean‐square gains of switched linear systems: a variational approach publication-title: Automatica – volume: 45 start-page: 1329C1358 issue: 4 year: 2006 article-title: Optimal disturbance attenuation for discrete‐time switched and Markovian jump linear systems publication-title: SIAM J. Control Optim. – volume: 48 start-page: 2040 issue: 11 year: 2003 end-page: 2045 article-title: Root‐mean‐square gains of switched linear systems publication-title: IEEE Trans. Autom. Control – year: 2012 article-title: Stability analysis of feedback switched systems with state and switching delays publication-title: IMA J. Math. Control Inf. – start-page: 284 year: 2004 end-page: 289 – volume: 5 start-page: 1843 issue: 16 year: 2011 end-page: 1858 article-title: Stabilising slow‐switching laws for switched discrete‐time linear systems publication-title: IET Proc., Control Theory Appl. – volume: 338 start-page: 765 year: 2001 end-page: 779 article-title: Disturbance attenuation properties of time‐controlled switched systems publication-title: J. Franklin Inst. – volume: 55 start-page: 207 issue: 1 year: 2010 end-page: 212 article-title: and dwell time specifications of continuous‐time switched linear systems publication-title: IEEE Trans. Autom. Control |
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| Snippet | This study investigates ℒ2-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation. With the... This study investigates ℒ2 ‐induced gain from the input disturbance to output of discrete‐time switched linear systems subject to actuator saturation. With the... This study investigates L^sub 2^-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation.... This study investigates L sub( 2)-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation.... |
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| SubjectTerms | actuator saturation Actuators control system synthesis discrete time systems discrete‐time switched system subject Disturbances Dwell time dwell time approach Gain induced gain analysis input disturbance linear matrix inequalities Linear systems Mathematical models Saturation State feedback state feedback design method time‐varying systems |
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| Title | Dwell-time approach to ℒ2-induced gain analysis of discrete-time switched systems subject to actuator saturation |
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