A Study on Finite-time Stability of Switched Linear System with Finitetime Unstable Subsystems
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- 英文论文题名：A Study on Finite-time Stability of Switched Linear System with Finitetime Unstable Subsystems
- 论文作者：Jialin Tan ; Weiqun Wang ; Juan Yao
- 英文论文作者：Jialin Tan ; Weiqun Wang ; Juan Yao ; School of Science ; Najing University of Science and Technology ; School of Automatic ; Najing University of Science and Technology
- 年：2017
- 作者机构：School of Science, Najing University of Science and Technology;School of Automatic, Najing University of Science and Technology;
- 英文论文关键词：switched linear system ; finite-time stability ; MDADT
- 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（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O231
- 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：485k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, the problems of stability and stabilization for switched linear systems with finite-time unstable subsystems are revisited. Differ from the previous work, switching signal are designed with mode-dependent average dwell time(MDADT) property. Sufficient conditions are given to guarantee the switched linear systems with subsystems that are finitetime unstable being finite-time stability. Then, based on the results obtained, stabilization conditions for switched linear systems are presented to guarantee the underlying systems to be finite-time stability. A numerical example is employed to verify the efficiency of the preceding method.
In this paper, the problems of stability and stabilization for switched linear systems with finite-time unstable subsystems are revisited. Differ from the previous work, switching signal are designed with mode-dependent average dwell time(MDADT) property. Sufficient conditions are given to guarantee the switched linear systems with subsystems that are finitetime unstable being finite-time stability. Then, based on the results obtained, stabilization conditions for switched linear systems are presented to guarantee the underlying systems to be finite-time stability. A numerical example is employed to verify the efficiency of the preceding method.
In this paper, the problems of stability and stabilization for switched linear systems with finite-time unstable subsystems are revisited. Differ from the previous work, switching signal are designed with mode-dependent average dwell time(MDADT) property. Sufficient conditions are given to guarantee the switched linear systems with subsystems that are finitetime unstable being finite-time stability. Then, based on the results obtained, stabilization conditions for switched linear systems are presented to guarantee the underlying systems to be finite-time stability. A numerical example is employed to verify the efficiency of the preceding method.
引文
[1]YG Sun,L Wang,G Xie,Stability of switched systems with time-varying delays:delay-dependent common Lyapunov functional approach,American Control Conference,2006.
[2]L Vu,D Chatterjee,D Liberzon,Input-to-state stability of switched systems and switching adaptive control,Automatica.43(4):639-646,2007.
[3]A Czornik,M Niezabitowski,Controllability and stability of switched systems,Bulletin of the Polish Academy of Sciences Technical Sciences,61(3):16-21,2013.
[4]L Wu,R Yang,P Shi,X Su,Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings,Automatica,59(C),206-215,2015.
[5]L Zhou DWC Ho,G Zhai,Stability analysis of switched linear singular systems,Automatica,49(5):1481-1487,2013.
[6]AS Morse,Supervisory Control of Families of Linear SetPoint Controllers-Part 1:Exact Matching,Automatic Control IEEE Transactions on,41(10):1413-1431,1996.
[7]JP Hespanha AS Morse,Stability of switched systems with average dwell-time,proc.38th IEEE Trans,Autom,Countrol,Phoenix,AZ,1999,pp,2655-2660.
[8]X Zhao,L Zhang,P Shi,M Liu,Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time,IEEE Transactions on Automatic Control,57(7):1908-1815,2012.
[9]Y Yin,X Zhao,X Zheng,New Stability and Stabilization Conditions of Switched Systems with Mode-Dependent Average Dwell Time,Circuits Systems&Signal Processing,1-17,2016.
[10]SP Bhat,DS Bernstein,Finite-Time Stability of Continuous Autonomous Systems,Siam Journal on Control&Optimization,38(3):751-766,2000.
[11]F Amato,R Ambrosino,M Ariola,C Cosentino,Finite-time stability of linear time-varying systems with jumps,Automatica,45(5):1354-1358,2009.
[12]E Moulay,W Perruquetti,Finite time stability and stabilization of a class of continuous systems,Journal of Mathematical Analysis&Applications,323(2):1430-1443,2006.
[13]E Moulay,M Dambrine,N Yeganefar,W Perruquetti,Finitetime stability and stabilization of time-delay systems,Systems&Control Letters,57(7):561-566,2008.
[14]Shouwei Zhao,Jitao Sun,Li Liu,Finite-time stability of linear time-varying singular systems with impulsive effects,International Journal of Control,81(11):1824-1829,2008.
[15]X Li,X Lin,S Li,Y Zou,Finite-time stability of switched nonlinear systems with finite-time unstable subsystems,Journal of the Franklin Institute,352(3):1192-1214,2015.
[16]X.Sun,J.Zhao,D.J.Hill,Stability and L2 gain analysis for switched delay systems:a delay-dependent method,Automatica,42(10):1769–1774,2006.
[17]F Amato,M Ariola,P Dorato,Finite-time control of linear systems subject to parametric uncertainties and disturbances,Automatica,37(9):1459-1463,2001.
[18]S Wang,M Zeng,Z Yu,Y Liu,New Results on Finite-Time Stability of Switched Linear Systems with Average Dwell Time,IFAC Proceedings Volumes,47(3):1495-1500,2014.
[2]L Vu,D Chatterjee,D Liberzon,Input-to-state stability of switched systems and switching adaptive control,Automatica.43(4):639-646,2007.
[3]A Czornik,M Niezabitowski,Controllability and stability of switched systems,Bulletin of the Polish Academy of Sciences Technical Sciences,61(3):16-21,2013.
[4]L Wu,R Yang,P Shi,X Su,Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings,Automatica,59(C),206-215,2015.
[5]L Zhou DWC Ho,G Zhai,Stability analysis of switched linear singular systems,Automatica,49(5):1481-1487,2013.
[6]AS Morse,Supervisory Control of Families of Linear SetPoint Controllers-Part 1:Exact Matching,Automatic Control IEEE Transactions on,41(10):1413-1431,1996.
[7]JP Hespanha AS Morse,Stability of switched systems with average dwell-time,proc.38th IEEE Trans,Autom,Countrol,Phoenix,AZ,1999,pp,2655-2660.
[8]X Zhao,L Zhang,P Shi,M Liu,Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time,IEEE Transactions on Automatic Control,57(7):1908-1815,2012.
[9]Y Yin,X Zhao,X Zheng,New Stability and Stabilization Conditions of Switched Systems with Mode-Dependent Average Dwell Time,Circuits Systems&Signal Processing,1-17,2016.
[10]SP Bhat,DS Bernstein,Finite-Time Stability of Continuous Autonomous Systems,Siam Journal on Control&Optimization,38(3):751-766,2000.
[11]F Amato,R Ambrosino,M Ariola,C Cosentino,Finite-time stability of linear time-varying systems with jumps,Automatica,45(5):1354-1358,2009.
[12]E Moulay,W Perruquetti,Finite time stability and stabilization of a class of continuous systems,Journal of Mathematical Analysis&Applications,323(2):1430-1443,2006.
[13]E Moulay,M Dambrine,N Yeganefar,W Perruquetti,Finitetime stability and stabilization of time-delay systems,Systems&Control Letters,57(7):561-566,2008.
[14]Shouwei Zhao,Jitao Sun,Li Liu,Finite-time stability of linear time-varying singular systems with impulsive effects,International Journal of Control,81(11):1824-1829,2008.
[15]X Li,X Lin,S Li,Y Zou,Finite-time stability of switched nonlinear systems with finite-time unstable subsystems,Journal of the Franklin Institute,352(3):1192-1214,2015.
[16]X.Sun,J.Zhao,D.J.Hill,Stability and L2 gain analysis for switched delay systems:a delay-dependent method,Automatica,42(10):1769–1774,2006.
[17]F Amato,M Ariola,P Dorato,Finite-time control of linear systems subject to parametric uncertainties and disturbances,Automatica,37(9):1459-1463,2001.
[18]S Wang,M Zeng,Z Yu,Y Liu,New Results on Finite-Time Stability of Switched Linear Systems with Average Dwell Time,IFAC Proceedings Volumes,47(3):1495-1500,2014.