Event-triggered Guaranteed Cost Control for Uncertain Switched Linear Systems
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- 英文论文题名：Event-triggered Guaranteed Cost Control for Uncertain Switched Linear Systems
- 论文作者：Yiwen Qi ; Yanhui Liu ; Pengyu Zeng
- 英文论文作者：Yiwen Qi ; Yanhui Liu ; Pengyu Zeng ; School of Automation ; Shenyang Aerospace University
- 年：2017
- 作者机构：School of Automation,Shenyang Aerospace University;
- 英文论文关键词：Uncertain switched linear systems ; event-triggering strategy ; guaranteed cost ; state-feedback ; average dwell time
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：TP273
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：240k
- 原文格式：D
- 会议级别：全国
摘要
This paper studies the guaranteed cost state-feedback control for uncertain switched linear systems with an eventtriggering strategy. With the proposed event-triggering strategy, the system state can be sampled and updated only when a defined error exceeds a given threshold, which is very different from the traditional periodic sampling. More specifically, first,sufficient conditions for the stability and guaranteed cost performance of the resulting event-triggered switched closed-loop system are derived by utilizing the average dwell time method and linear matrix inequalities(LMIs) technique. A certain upper bound of the guaranteed cost against the system uncertainties is obtained. Subsequently, another set of sufficient conditions are presented for solving the event-triggered guaranteed cost state-feedback controllers. Furthermore, the Zeno behavior is discussed by presenting a positive lower bound estimation on the inter-execution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.
This paper studies the guaranteed cost state-feedback control for uncertain switched linear systems with an eventtriggering strategy. With the proposed event-triggering strategy, the system state can be sampled and updated only when a defined error exceeds a given threshold, which is very different from the traditional periodic sampling. More specifically, first,sufficient conditions for the stability and guaranteed cost performance of the resulting event-triggered switched closed-loop system are derived by utilizing the average dwell time method and linear matrix inequalities(LMIs) technique. A certain upper bound of the guaranteed cost against the system uncertainties is obtained. Subsequently, another set of sufficient conditions are presented for solving the event-triggered guaranteed cost state-feedback controllers. Furthermore, the Zeno behavior is discussed by presenting a positive lower bound estimation on the inter-execution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.
This paper studies the guaranteed cost state-feedback control for uncertain switched linear systems with an eventtriggering strategy. With the proposed event-triggering strategy, the system state can be sampled and updated only when a defined error exceeds a given threshold, which is very different from the traditional periodic sampling. More specifically, first,sufficient conditions for the stability and guaranteed cost performance of the resulting event-triggered switched closed-loop system are derived by utilizing the average dwell time method and linear matrix inequalities(LMIs) technique. A certain upper bound of the guaranteed cost against the system uncertainties is obtained. Subsequently, another set of sufficient conditions are presented for solving the event-triggered guaranteed cost state-feedback controllers. Furthermore, the Zeno behavior is discussed by presenting a positive lower bound estimation on the inter-execution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.
引文
[1]P.J.Antsaklis,and A.Nerode,Hybrid control systems:An introductory discussion to the special issue,IEEE Transactions on Automatic Control,43(4):457-460,1998.
[2]D.Liberzon,and A.S.Morse,Basic problems in stability and design of switched systems,IEEE Control Systems Magazine,19(5):59-70,1999.
[3]P.Riedinger,and J.C.Vivalda,Dynamic output feedback for switched linear systems based on a LQG design,Automatica,54:235-245,2015.
[4]X.Q.Zhao,and J.Zhao,Asynchronous fault detection for continuous-time switched delay systems,Journal of the Franklin Institute,352(12):5915-5935,2015.
[5]L.Sabattini,C.Secchi,and C.Fantuzzi,Eigenvalue placement for asymptotic stability in piecewise linear switched systems,in Proceedings of the 54th IEEE Conference on Decision and Control,2015:4885-4890.
[6]W.Xu,Z.Feng,J.Peng,and K.F.C.Yiu,Optimal switching for linear quadratic problem of switched systems in discrete time,Automatica,78:185-193,2017.
[7]J.Lunze,and D.Lehmann,A state-feedback approach to eventbased control,Automatica,46(1):211-215,2010.
[8]M.Abdelrahim,R.Postoyan,J.Daafouz,and D.Neˇsi,Codesign of output feedback laws and event-triggering conditions for linear systems,in Proceedings of the 53rd IEEE Conference on Decision and Control,2014:3560-3565.
[9]Y.Qi,and M.Cao,Event-triggered dynamic output feedback control for switched linear systems,in Proceedings of the 35th Chinese Control Conference,2016:2361-2367.
[10]X.Wang,and M.D.Lemmon,Event-triggering in distributed networked control systems,IEEE Transactions on Automatic Control,56(3):586-601,2011.
[11]D.Yue,E.Tian,and Q.L.Han,A delay system method for designing event-triggered controllers of networked control systems,IEEE Transactions on Automatic Control,58(2):475-481,2013.
[12]K.Lu,R.Zhou,and H.Li,Event-triggered cooperative target tracking in wireless sensor networks,Chinese Journal of Aeronautics,29(5):1326-1334,2016.
[13]X.Pan,and X.Y.Fang,A study on the comprehensive processing of grid information based on emergency trigger mechanism,Electrical Automation,38(1):48-51,2016.
[14]A.Sahoo,H.Xu,and S.Jagannathan,Neural network-based event-triggered state feedback control of nonlinear continuoustime systems,IEEE Transactions on Neural Networks ang Learning Systems,27(3):497-509,2016.
[15]S.Chang,and T.Peng,Adaptive guaranteed cost control of systems with uncertain parameters,IEEE Transactions on Automatic Control,17(4):474-483,1972.
[16]G.H.Yang,J.L.Wang,and C.S.Yeng,Reliable guaranteed cost control for uncertain nonlinear systems,IEEE Transactions on Automatic Control,45(11):2188-2192,2000.
[17]Y.J.Ying,H.J.Wang,and M.M.Gu,Event-triggered guaranteed cost control for uncertain networked Markov jump systems,in Proceedings of the 34th Chinese Control Conference,2015:6759-6764.
[18]I.R.Petersen,and C.V.Hollot,A Riccati equation to the stabilization of uncertain linear systems,Automatica,22(4):397-441,1986.
[19]D.Liberzon,Switching in systems and control,Berlin:Birkh¨auser,2003.
[20]J.P.Hespanha,and A.S.Morse,Stability of switched systems with average dwell time,in Proceedings of the 38th IEEEConference on Decision and Control,1999:2655-2660.
[21]C.Scherer,and S.Weiland,Lecture notes DISC course on linear matrix inequalities in control,Berlin:Springer-Verlag,1999.
[2]D.Liberzon,and A.S.Morse,Basic problems in stability and design of switched systems,IEEE Control Systems Magazine,19(5):59-70,1999.
[3]P.Riedinger,and J.C.Vivalda,Dynamic output feedback for switched linear systems based on a LQG design,Automatica,54:235-245,2015.
[4]X.Q.Zhao,and J.Zhao,Asynchronous fault detection for continuous-time switched delay systems,Journal of the Franklin Institute,352(12):5915-5935,2015.
[5]L.Sabattini,C.Secchi,and C.Fantuzzi,Eigenvalue placement for asymptotic stability in piecewise linear switched systems,in Proceedings of the 54th IEEE Conference on Decision and Control,2015:4885-4890.
[6]W.Xu,Z.Feng,J.Peng,and K.F.C.Yiu,Optimal switching for linear quadratic problem of switched systems in discrete time,Automatica,78:185-193,2017.
[7]J.Lunze,and D.Lehmann,A state-feedback approach to eventbased control,Automatica,46(1):211-215,2010.
[8]M.Abdelrahim,R.Postoyan,J.Daafouz,and D.Neˇsi,Codesign of output feedback laws and event-triggering conditions for linear systems,in Proceedings of the 53rd IEEE Conference on Decision and Control,2014:3560-3565.
[9]Y.Qi,and M.Cao,Event-triggered dynamic output feedback control for switched linear systems,in Proceedings of the 35th Chinese Control Conference,2016:2361-2367.
[10]X.Wang,and M.D.Lemmon,Event-triggering in distributed networked control systems,IEEE Transactions on Automatic Control,56(3):586-601,2011.
[11]D.Yue,E.Tian,and Q.L.Han,A delay system method for designing event-triggered controllers of networked control systems,IEEE Transactions on Automatic Control,58(2):475-481,2013.
[12]K.Lu,R.Zhou,and H.Li,Event-triggered cooperative target tracking in wireless sensor networks,Chinese Journal of Aeronautics,29(5):1326-1334,2016.
[13]X.Pan,and X.Y.Fang,A study on the comprehensive processing of grid information based on emergency trigger mechanism,Electrical Automation,38(1):48-51,2016.
[14]A.Sahoo,H.Xu,and S.Jagannathan,Neural network-based event-triggered state feedback control of nonlinear continuoustime systems,IEEE Transactions on Neural Networks ang Learning Systems,27(3):497-509,2016.
[15]S.Chang,and T.Peng,Adaptive guaranteed cost control of systems with uncertain parameters,IEEE Transactions on Automatic Control,17(4):474-483,1972.
[16]G.H.Yang,J.L.Wang,and C.S.Yeng,Reliable guaranteed cost control for uncertain nonlinear systems,IEEE Transactions on Automatic Control,45(11):2188-2192,2000.
[17]Y.J.Ying,H.J.Wang,and M.M.Gu,Event-triggered guaranteed cost control for uncertain networked Markov jump systems,in Proceedings of the 34th Chinese Control Conference,2015:6759-6764.
[18]I.R.Petersen,and C.V.Hollot,A Riccati equation to the stabilization of uncertain linear systems,Automatica,22(4):397-441,1986.
[19]D.Liberzon,Switching in systems and control,Berlin:Birkh¨auser,2003.
[20]J.P.Hespanha,and A.S.Morse,Stability of switched systems with average dwell time,in Proceedings of the 38th IEEEConference on Decision and Control,1999:2655-2660.
[21]C.Scherer,and S.Weiland,Lecture notes DISC course on linear matrix inequalities in control,Berlin:Springer-Verlag,1999.