H_∞ variable structure control for a class of uncertain singular switched systems with time-delay
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- 英文论文题名：H_∞ variable structure control for a class of uncertain singular switched systems with time-delay
- 论文作者：Zhen Liu ; Lin Zhao ; Quanmin Zhu ; Cunchen Gao
- 英文论文作者：Zhen Liu ; Lin Zhao ; Quanmin Zhu ; Cunchen Gao ; School of Automation and Electrical Engineering ; Qingdao University ; Institute for Sustainable Manufacturing ; College of Engineering ; University of Kentucky ; Department of Engineering Design and Mathematics ; University of the West of England ; School of Mathematical Sciences ; Ocean University of China
- 年：2017
- 作者机构：School of Automation and Electrical Engineering,Qingdao University;Institute for Sustainable Manufacturing,College of Engineering,University of Kentucky;Department of Engineering Design and Mathematics,University of the West of England;School of Mathematical Sciences,Ocean University of China;
- 英文论文关键词：H_∞ control ; SMC ; switched singular systems ; time-delay ; 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（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：167k
- 原文格式：D
- 会议级别：全国
摘要
This paper is devoted to robust H∞ sliding mode control(SMC) for a class of uncertain switched singular systems with time-delay(SST). Based on the average dwell time approach, sufficient conditions for the existence of designed linear sliding surface and the admissibility of the underlying sliding mode dynamics(SMDs) with given disturbance attenuation level are presented in terms of LMI, by which the associated adaptive reaching motion controller is synthesized then. An example shows the potential of the proposed scheme.
This paper is devoted to robust H_∞ sliding mode control(SMC) for a class of uncertain switched singular systems with time-delay(SST). Based on the average dwell time approach, sufficient conditions for the existence of designed linear sliding surface and the admissibility of the underlying sliding mode dynamics(SMDs) with given disturbance attenuation level are presented in terms of LMI, by which the associated adaptive reaching motion controller is synthesized then. An example shows the potential of the proposed scheme.
This paper is devoted to robust H_∞ sliding mode control(SMC) for a class of uncertain switched singular systems with time-delay(SST). Based on the average dwell time approach, sufficient conditions for the existence of designed linear sliding surface and the admissibility of the underlying sliding mode dynamics(SMDs) with given disturbance attenuation level are presented in terms of LMI, by which the associated adaptive reaching motion controller is synthesized then. An example shows the potential of the proposed scheme.
引文
[1]S.Xu,J.Lam,Robust control and filtering of singular systems,New York:Springer,2006.
[2]G.Lu,H.Daniel,Generalized quadratic stability for continuous-time singular systems with nonlinear perturbation,IEEE Trananctions on Automatic Control,51:818–823,2006.
[3]Y.Xia,E.Boukas,P.Shi,J.Zhang,Stability and stabilization of continuous-time singular hybrid systems,Automatica,45:1504–1509,2009.
[4]X.Tian,C.Li,S.Chen,Guaranteed cost control of linear uncertain time-delay switched singular systems based on an LMI approach,International Journal of Modelling,Identification and Control,17(2):109–115,2012.
[5]Y.Zhao,J.Yang,G.Wen,H∞control for uncertain switched nonlinear singular systems with time delay.Nonlinear Dynamics,74:649–665,2013.
[6]L.Zhou,H.Daniel,G.Zhai,Stability analysis of switched linear singular systems,Automatica,49(5):1481–1487,2013.
[7]I.Zamani,M.Shafiee,A.Ibeas,Exponential stability of hybrid switched nonlinear singular systems with time-varying delay,Journal of the Franklin Institute,350(1):171–193,2013.
[8]A.Taher,Q.Zhu,Advances and applications in sliding mode control systems,Berlin:Springer,2015.
[9]P.Shi,Y.Xia,G.Liu,D.Rees,On designing of sliding-mode control for stochastic jump systems,IEEE Trananctions on Automatic Control,51,97–103,2006.
[10]L.Zhao,Y.Jia,Finite-time attitude tracking control for a rigid spacecraft using time-varying terminal sliding mode techniques,International Journal of Control,88(6):1150–1162,2015.
[11]L.Zhao,Y.Jia,Decentralized adaptive attitude synchronization control for spacecraft formation using nonsingular fast terminal sliding mode,Nonlinear Dynamics,78(4):2779–2794,2014.
[12]L.Zhao,Y.Jia,Neural network-based distributed adaptive attitude synchronization control of spacecraft formation under modified fast terminal sliding mode,Neurocomputing,171:230–241,2016.
[13]Z.Liu,C.Gao,A new result on robust H∞control for uncertain time-delay singular systems via sliding mode control,Complexity,21:165–177,2016.
[14]Z.Liu,L.Zhao,Y.Kao,C.Gao,Robust passive control for a class of uncertain neutral systems based on sliding mode observer,ISA transactions,66:64–76,2017.
[15]Z.Liu,C.Gao,H.Xiao,Y.Kao,Non-fragile observer-based H∞Control for uncertain neutral-type systems via sliding mode technique,Asian Journal of Control,19(2):659–671,2017.
[16]L.Wu,W.Zheng,Passivity-based sliding mode control of uncertain singular time-delay systems,Automatica,45:2120–2127,2009.
[17]M.Kchaou,H.Gassara,A.El-Hajjaji,Dissipativity-based integral sliding-mode control for a class of Takagi-Sugeno fuzzy singular systems with time-varying delay,IET Control Theory&Applications,8(17):2045–2054,2014.
[2]G.Lu,H.Daniel,Generalized quadratic stability for continuous-time singular systems with nonlinear perturbation,IEEE Trananctions on Automatic Control,51:818–823,2006.
[3]Y.Xia,E.Boukas,P.Shi,J.Zhang,Stability and stabilization of continuous-time singular hybrid systems,Automatica,45:1504–1509,2009.
[4]X.Tian,C.Li,S.Chen,Guaranteed cost control of linear uncertain time-delay switched singular systems based on an LMI approach,International Journal of Modelling,Identification and Control,17(2):109–115,2012.
[5]Y.Zhao,J.Yang,G.Wen,H∞control for uncertain switched nonlinear singular systems with time delay.Nonlinear Dynamics,74:649–665,2013.
[6]L.Zhou,H.Daniel,G.Zhai,Stability analysis of switched linear singular systems,Automatica,49(5):1481–1487,2013.
[7]I.Zamani,M.Shafiee,A.Ibeas,Exponential stability of hybrid switched nonlinear singular systems with time-varying delay,Journal of the Franklin Institute,350(1):171–193,2013.
[8]A.Taher,Q.Zhu,Advances and applications in sliding mode control systems,Berlin:Springer,2015.
[9]P.Shi,Y.Xia,G.Liu,D.Rees,On designing of sliding-mode control for stochastic jump systems,IEEE Trananctions on Automatic Control,51,97–103,2006.
[10]L.Zhao,Y.Jia,Finite-time attitude tracking control for a rigid spacecraft using time-varying terminal sliding mode techniques,International Journal of Control,88(6):1150–1162,2015.
[11]L.Zhao,Y.Jia,Decentralized adaptive attitude synchronization control for spacecraft formation using nonsingular fast terminal sliding mode,Nonlinear Dynamics,78(4):2779–2794,2014.
[12]L.Zhao,Y.Jia,Neural network-based distributed adaptive attitude synchronization control of spacecraft formation under modified fast terminal sliding mode,Neurocomputing,171:230–241,2016.
[13]Z.Liu,C.Gao,A new result on robust H∞control for uncertain time-delay singular systems via sliding mode control,Complexity,21:165–177,2016.
[14]Z.Liu,L.Zhao,Y.Kao,C.Gao,Robust passive control for a class of uncertain neutral systems based on sliding mode observer,ISA transactions,66:64–76,2017.
[15]Z.Liu,C.Gao,H.Xiao,Y.Kao,Non-fragile observer-based H∞Control for uncertain neutral-type systems via sliding mode technique,Asian Journal of Control,19(2):659–671,2017.
[16]L.Wu,W.Zheng,Passivity-based sliding mode control of uncertain singular time-delay systems,Automatica,45:2120–2127,2009.
[17]M.Kchaou,H.Gassara,A.El-Hajjaji,Dissipativity-based integral sliding-mode control for a class of Takagi-Sugeno fuzzy singular systems with time-varying delay,IET Control Theory&Applications,8(17):2045–2054,2014.