Observer-Based Dynamic Output Event-Triggered Control of Switched Systems
详细信息 查看官网全文
- 英文论文题名：Observer-Based Dynamic Output Event-Triggered Control of Switched Systems
- 论文作者：Tai-Fang Li ; Jun Fu
- 英文论文作者：Tai-Fang Li ; Jun Fu ; College of Engineering ; Bohai University ; State Key Laboratory of Synthetical Automation for Process Industries ; Northeastern University
- 年：2017
- 作者机构：College of Engineering,Bohai University;State Key Laboratory of Synthetical Automation for Process Industries,Northeastern University;
- 英文论文关键词：Switched systems ; Event-triggered control ; Sampled-data control
- 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：5
- 文件大小：242k
- 原文格式：D
- 会议级别：全国
摘要
Following the development of digital technology, controllers in many control applications are implemented on digital platforms. Although the advantages of event-triggered controllers are proposed and practical applications show their potential,relatively few theoretical results appear to study event-triggered control for switched linear systems. It is the objective of this paper to propose an event-triggered sampling mechanism and develop an observer-based dynamic output feedback control for switched systems. Compared with the existing results, a positive threshold added to the event-triggered condition guarantees that there always exist a positive lower bound of the minimum inter-event interval to exclude Zeno behavior. Furthermore, we present a controller design method to achieve uniform ultimate boundedness provided that average dwell time conditions of switched system are satisfied. A simulation example verifies the effectiveness of the proposed method.
Following the development of digital technology, controllers in many control applications are implemented on digital platforms. Although the advantages of event-triggered controllers are proposed and practical applications show their potential,relatively few theoretical results appear to study event-triggered control for switched linear systems. It is the objective of this paper to propose an event-triggered sampling mechanism and develop an observer-based dynamic output feedback control for switched systems. Compared with the existing results, a positive threshold added to the event-triggered condition guarantees that there always exist a positive lower bound of the minimum inter-event interval to exclude Zeno behavior. Furthermore, we present a controller design method to achieve uniform ultimate boundedness provided that average dwell time conditions of switched system are satisfied. A simulation example verifies the effectiveness of the proposed method.
Following the development of digital technology, controllers in many control applications are implemented on digital platforms. Although the advantages of event-triggered controllers are proposed and practical applications show their potential,relatively few theoretical results appear to study event-triggered control for switched linear systems. It is the objective of this paper to propose an event-triggered sampling mechanism and develop an observer-based dynamic output feedback control for switched systems. Compared with the existing results, a positive threshold added to the event-triggered condition guarantees that there always exist a positive lower bound of the minimum inter-event interval to exclude Zeno behavior. Furthermore, we present a controller design method to achieve uniform ultimate boundedness provided that average dwell time conditions of switched system are satisfied. A simulation example verifies the effectiveness of the proposed method.
引文
[1]K.Arzen,”A simple event-based PID controller,”in Proc.14th IFAC World Congress,pp.423-428,1999.
[2]S.Durand,and N.Marchand,”Further results on event-based PID controller,”in Proc.European Control Conf.,pp.1979-1984,2009.
[3]P.Tabuada,”Event-triggered real-time scheduling of stabilizing control tasks,”IEEE Trans.Automat.Control,Vol.52,No.9,pp.1680-1685,2007.
[4]X.Wang,and M.Lemmon,”Event design in event-triggered feedback control systems,”in Proc.47th IEEE Conf.Decision Control,pp.2105-2110,2008.
[5]X.Wang,and M.Lemmon,”Self-triggered feedback control systems with finite-gain stability,”IEEE Trans.Automat.Control,Vol.54,No.3,pp.452-467,2009.
[6]J.Lunze,and D.Lehmann,”A state-feedback approach to event-based control,”Automatica,Vol.46,No.1,pp.211-215,2010.
[7]W.Heemels,and M.Donkers,”Model-based periodic eventtriggered control for linear systems,”Automatica,Vol.49,No.3,pp.698-711,2013.
[8]E.Garcia,and P.Antsaklis,”Model-based event-triggered control for systems with quantization and time-varying network delays,”IEEE Trans.Automat.Control,Vol.58,No.2,pp.422-434,2013.
[9]J.Zhang,and G.Feng,”Event-driven observer-based output feedback control for linear systems,”Automatica,Vol.50,No.7,pp.1852-1859,2014.
[10]M.Donkers,and W.Heemels,”Output-based event-triggered control with guaranteed l∞-gain and improved and decentralized event-triggering,”IEEE Trans.Automat.Control,Vol.57,No.6,pp.1362-1376,2012.
[11]C.Cassandras,”Event-driven control,communication,and optimization,”in Proc.32nd Chinese Control Conf.,pp.1-5,2013.
[12]M.Branicky,”Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,”IEEE Trans.Automat.Control,Vol.43,No.4,pp.475-482,1998.
[13]D.Liberzon,Switched in Systems and Control.Boston:Birkhauser,2003.
[14]H.Lin,and P.Antsaklis,”Stability and stabilizability of switched linear systems:a survey of recent results,”IEEETrans.Automat.Control,2009,Vol.54,No.2,pp.308-322,2009.
[15]J.Geromel,and P.Colaneri,”Stability and stabilization of continuous-time switched linear systems,”SIAM J.Control Optim.,Vol.45,No.5,pp.1915-1930,2006.
[16]R.Ma,and J.Zhao,”Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings,”Automatica,Vol.46,No.11,pp.1819-1823,2010.
[17]J.Zhao,and D.Hill,”On stability,L2-gain and H∞control for switched systems,”Automatica,Vol.44,pp.1220-1232,2008.
[18]T.Li,J.Fu,and B.Niu,”Hysteresis-based switching design for stabilization of switched linear neutral systems,”Circuits Syst.Signal Proc.,Vol.36,No.1,pp.359-373,2017.
[19]J.Fu,R.Ma,and T.Chai,”Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers,”Automatica,Vol.54,pp.360-373,2015.
[20]X.Sun,S.Du,P.Shi,W.Wang,and L.Wang,”Input-to-state stability for nonlinear systems with large delay period based on switching techniques,”IEEE Trans.Circuits and Systems I:Regular Papers,Vol.61,No.6,pp.1789-1800,2014.
[21]J.Fu,T.Li,T.Chai,and C.Su,”Sampled-data-based stabilization of switched linear neutral systems,”Automatica,Vol.72,pp.92-99,2016.
[22]D.Liberzon,”Finite data-rate feedback stabilization of switched and hybrid linear systems,”Automatica,Vol.50,pp.409-420,2014.
[23]X.Wang,and D.Ma,”Event-triggered control for continuous-time switched systems,”in Proc.27th Chinese Control Decision Conf.,pp.1143-1148,2015.
[24]T.Li,and J.Fu,”Event-triggered sampling and control of switched delay systems,”in Proc.35th Chinese Control Conf.,pp.2296-2300,2016.
[25]Y.Qi,and M.Cao,”Event-triggered dynamic output feedback control for switched linear systems,”in Proc.35th Chinese Control Conf.,pp.2361-2367,2016.
[26]G.Ma,X.Liu,L.Qin,and G.Wu,”Finite-time eventtriggered H∞control for switched systems with time-varying delay,”Neurocomputing,Vol.207,pp.828-842,2016.
[27]T.Li,and J.Fu,”Event-triggered control of switched linear systems,”J.Franklin Institute,revised,2017.
[2]S.Durand,and N.Marchand,”Further results on event-based PID controller,”in Proc.European Control Conf.,pp.1979-1984,2009.
[3]P.Tabuada,”Event-triggered real-time scheduling of stabilizing control tasks,”IEEE Trans.Automat.Control,Vol.52,No.9,pp.1680-1685,2007.
[4]X.Wang,and M.Lemmon,”Event design in event-triggered feedback control systems,”in Proc.47th IEEE Conf.Decision Control,pp.2105-2110,2008.
[5]X.Wang,and M.Lemmon,”Self-triggered feedback control systems with finite-gain stability,”IEEE Trans.Automat.Control,Vol.54,No.3,pp.452-467,2009.
[6]J.Lunze,and D.Lehmann,”A state-feedback approach to event-based control,”Automatica,Vol.46,No.1,pp.211-215,2010.
[7]W.Heemels,and M.Donkers,”Model-based periodic eventtriggered control for linear systems,”Automatica,Vol.49,No.3,pp.698-711,2013.
[8]E.Garcia,and P.Antsaklis,”Model-based event-triggered control for systems with quantization and time-varying network delays,”IEEE Trans.Automat.Control,Vol.58,No.2,pp.422-434,2013.
[9]J.Zhang,and G.Feng,”Event-driven observer-based output feedback control for linear systems,”Automatica,Vol.50,No.7,pp.1852-1859,2014.
[10]M.Donkers,and W.Heemels,”Output-based event-triggered control with guaranteed l∞-gain and improved and decentralized event-triggering,”IEEE Trans.Automat.Control,Vol.57,No.6,pp.1362-1376,2012.
[11]C.Cassandras,”Event-driven control,communication,and optimization,”in Proc.32nd Chinese Control Conf.,pp.1-5,2013.
[12]M.Branicky,”Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,”IEEE Trans.Automat.Control,Vol.43,No.4,pp.475-482,1998.
[13]D.Liberzon,Switched in Systems and Control.Boston:Birkhauser,2003.
[14]H.Lin,and P.Antsaklis,”Stability and stabilizability of switched linear systems:a survey of recent results,”IEEETrans.Automat.Control,2009,Vol.54,No.2,pp.308-322,2009.
[15]J.Geromel,and P.Colaneri,”Stability and stabilization of continuous-time switched linear systems,”SIAM J.Control Optim.,Vol.45,No.5,pp.1915-1930,2006.
[16]R.Ma,and J.Zhao,”Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings,”Automatica,Vol.46,No.11,pp.1819-1823,2010.
[17]J.Zhao,and D.Hill,”On stability,L2-gain and H∞control for switched systems,”Automatica,Vol.44,pp.1220-1232,2008.
[18]T.Li,J.Fu,and B.Niu,”Hysteresis-based switching design for stabilization of switched linear neutral systems,”Circuits Syst.Signal Proc.,Vol.36,No.1,pp.359-373,2017.
[19]J.Fu,R.Ma,and T.Chai,”Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers,”Automatica,Vol.54,pp.360-373,2015.
[20]X.Sun,S.Du,P.Shi,W.Wang,and L.Wang,”Input-to-state stability for nonlinear systems with large delay period based on switching techniques,”IEEE Trans.Circuits and Systems I:Regular Papers,Vol.61,No.6,pp.1789-1800,2014.
[21]J.Fu,T.Li,T.Chai,and C.Su,”Sampled-data-based stabilization of switched linear neutral systems,”Automatica,Vol.72,pp.92-99,2016.
[22]D.Liberzon,”Finite data-rate feedback stabilization of switched and hybrid linear systems,”Automatica,Vol.50,pp.409-420,2014.
[23]X.Wang,and D.Ma,”Event-triggered control for continuous-time switched systems,”in Proc.27th Chinese Control Decision Conf.,pp.1143-1148,2015.
[24]T.Li,and J.Fu,”Event-triggered sampling and control of switched delay systems,”in Proc.35th Chinese Control Conf.,pp.2296-2300,2016.
[25]Y.Qi,and M.Cao,”Event-triggered dynamic output feedback control for switched linear systems,”in Proc.35th Chinese Control Conf.,pp.2361-2367,2016.
[26]G.Ma,X.Liu,L.Qin,and G.Wu,”Finite-time eventtriggered H∞control for switched systems with time-varying delay,”Neurocomputing,Vol.207,pp.828-842,2016.
[27]T.Li,and J.Fu,”Event-triggered control of switched linear systems,”J.Franklin Institute,revised,2017.