Event-Triggered Robust Practical Output Regulation for a Class of Linear Minimum-Phase Systems
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- 英文论文题名：Event-Triggered Robust Practical Output Regulation for a Class of Linear Minimum-Phase Systems
- 论文作者：Wei Liu ; Jie Huang
- 英文论文作者：Wei Liu ; Jie Huang ; Department of Mechanical and Automation Engineering ; The Chinese University of Hong Kong
- 年：2017
- 作者机构：Department of Mechanical and Automation Engineering,The Chinese University of Hong Kong;
- 英文论文关键词：Output regulation ; event-triggered control ; linear systems
- 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：254k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, we first formulate the event-triggered robust practical output regulation problem for a class of linear minimum-phase systems. The problem formulation requires the solution to the closed-loop system exist for all t ≥ 0, thus ruling out the possibility of the Zeno behavior, and the steady-state tracking error be made arbitrarily small. Then, we present the solvability of the problem by appropriately designing an output-based event-triggered control law and an output-based eventtriggered mechanism.
In this paper, we first formulate the event-triggered robust practical output regulation problem for a class of linear minimum-phase systems. The problem formulation requires the solution to the closed-loop system exist for all t ≥ 0, thus ruling out the possibility of the Zeno behavior, and the steady-state tracking error be made arbitrarily small. Then, we present the solvability of the problem by appropriately designing an output-based event-triggered control law and an output-based eventtriggered mechanism.
In this paper, we first formulate the event-triggered robust practical output regulation problem for a class of linear minimum-phase systems. The problem formulation requires the solution to the closed-loop system exist for all t ≥ 0, thus ruling out the possibility of the Zeno behavior, and the steady-state tracking error be made arbitrarily small. Then, we present the solvability of the problem by appropriately designing an output-based event-triggered control law and an output-based eventtriggered mechanism.
引文
[1]M.Abdelrahim,R.Postoyan,J.Daafouz,and D.Neˇsi,Stabilization of nonlinear systems using event-triggered output feedback controller,IEEE Transactions on Automatic Control,61 (9):2682–2687,2016.
[2]K.J.Astrom,and B.Wittenmark,Computer Controlled Systems.Prentice Hall,Upper Saddle River,1977.
[3]Z.Chen,and J.Huang,Stabilization and Regulation of Nonlinear Systems:A Robust and Adaptive Approach,Springer,2015.
[4]Y.Cheng and V.Ugrinovskii,Event-triggered leader-following tracking control for multivariablemulti-agent systems,Automatica,70:204–210,2016.
[5]E.J.Davison,The robust control of a servomechanism problem for linear time-invariant multivariable systems,IEEE Transactions on Automatic Control,21(1):25–34,1976.
[6]V.S.Dolk,D.P.Borgers and W.P.M.H.Heemels,Outputbased and decentralized dynamic event-triggered control with guaranteed Lp-gain performance and Zeno-freeness,IEEE Transactions on Automatic Control,62(1):34–49,2017.
[7]M.C.F.Donkers,and W.P.M.H.Heemels,Output-based event-triggered control with guaranteed L∞-gain and improved and decentralized event-triggering,IEEE Transactions on Automatic Control,57(6):1362–1376,2012.
[8]B.A.Francis,The linear multivariable regulator problem,SIAM Journal on Control and Optimization,15(3):486–505,1977.
[9]B.A.Francis,and W.M.Wonham,The internal model priciple of control theory,Automatica,12(5):457–465,1976.
[10]G.F.Franklin,J.D.Powel,and A.Emami-Naeini,Feedback Control of Dynamical Systems,Prentice Hall,Upper Saddle River,2010.
[11]A.Girard,Dynamic triggering mechanisms for eventtriggered control,IEEE Transactions on Automatic Control,60(7):1992–1997,2015.
[12]W.P.M.H.Heemels,K.H.Johansson,and P.Tabuada,An introduction to event-triggered and self-triggered control,Proceedings of the 51st IEEE Conference on Decision and Control,Maul,Hawaii,USA,2012:3270–3285.
[13]J.Huang,Nonlinear Output Regulation:Theory and Applications,Phildelphia,PA:SIAM,2004.
[14]A.Isidori,L.Marconi,and A.Serrani,A Robust Autonomous Guidance:An Internal Model Approach,Springer:Berlin,2003.
[15]T.Liu and Z.P.Jiang,A small-gain approach to robust eventtriggered control of nonlinear systems,IEEE Transactions on Automatic Control,60(8):2072–2085,2015.
[16]W.Liu and J.Huang,Robust practical output regulation for a class of uncertain linear minimum-phase systems by outputbased event-triggered control,International Journal of Robust and Nonlinear Control,DOI:10.1002/rnc.3815,2017.
[17]V.O.Nikiforov,Adaptive non-linear tracking with complete compensation of unknown disturbances,European Journal of Control,4(2):132–139,1998.
[18]G.S.Seyboth,D.V.Dimarogonas,and K.H.Johansson,Event-based broadcasting for multi-agent average consensus,Automatica,49(1):245–252,2013.
[19]Y.Su and J.Huang,Cooperative robust output regulation of a class of heterogeneous linear uncertain multi-agent systems,International Journal of Robust and Nonlinear Control,24(17):2819–2839,2014.
[20]P.Tabuada,Event-triggered real-time scheduling of stabilizing control tasks,IEEE Transactions on Automatic Control,52(9):1680–1685,2007.
[21]P.Tallapragada and N.Chopra,On event triggered tracking for nonlinear systems,IEEE Transactions on Automatic Control,58(9):2343–2348,2013.
[2]K.J.Astrom,and B.Wittenmark,Computer Controlled Systems.Prentice Hall,Upper Saddle River,1977.
[3]Z.Chen,and J.Huang,Stabilization and Regulation of Nonlinear Systems:A Robust and Adaptive Approach,Springer,2015.
[4]Y.Cheng and V.Ugrinovskii,Event-triggered leader-following tracking control for multivariablemulti-agent systems,Automatica,70:204–210,2016.
[5]E.J.Davison,The robust control of a servomechanism problem for linear time-invariant multivariable systems,IEEE Transactions on Automatic Control,21(1):25–34,1976.
[6]V.S.Dolk,D.P.Borgers and W.P.M.H.Heemels,Outputbased and decentralized dynamic event-triggered control with guaranteed Lp-gain performance and Zeno-freeness,IEEE Transactions on Automatic Control,62(1):34–49,2017.
[7]M.C.F.Donkers,and W.P.M.H.Heemels,Output-based event-triggered control with guaranteed L∞-gain and improved and decentralized event-triggering,IEEE Transactions on Automatic Control,57(6):1362–1376,2012.
[8]B.A.Francis,The linear multivariable regulator problem,SIAM Journal on Control and Optimization,15(3):486–505,1977.
[9]B.A.Francis,and W.M.Wonham,The internal model priciple of control theory,Automatica,12(5):457–465,1976.
[10]G.F.Franklin,J.D.Powel,and A.Emami-Naeini,Feedback Control of Dynamical Systems,Prentice Hall,Upper Saddle River,2010.
[11]A.Girard,Dynamic triggering mechanisms for eventtriggered control,IEEE Transactions on Automatic Control,60(7):1992–1997,2015.
[12]W.P.M.H.Heemels,K.H.Johansson,and P.Tabuada,An introduction to event-triggered and self-triggered control,Proceedings of the 51st IEEE Conference on Decision and Control,Maul,Hawaii,USA,2012:3270–3285.
[13]J.Huang,Nonlinear Output Regulation:Theory and Applications,Phildelphia,PA:SIAM,2004.
[14]A.Isidori,L.Marconi,and A.Serrani,A Robust Autonomous Guidance:An Internal Model Approach,Springer:Berlin,2003.
[15]T.Liu and Z.P.Jiang,A small-gain approach to robust eventtriggered control of nonlinear systems,IEEE Transactions on Automatic Control,60(8):2072–2085,2015.
[16]W.Liu and J.Huang,Robust practical output regulation for a class of uncertain linear minimum-phase systems by outputbased event-triggered control,International Journal of Robust and Nonlinear Control,DOI:10.1002/rnc.3815,2017.
[17]V.O.Nikiforov,Adaptive non-linear tracking with complete compensation of unknown disturbances,European Journal of Control,4(2):132–139,1998.
[18]G.S.Seyboth,D.V.Dimarogonas,and K.H.Johansson,Event-based broadcasting for multi-agent average consensus,Automatica,49(1):245–252,2013.
[19]Y.Su and J.Huang,Cooperative robust output regulation of a class of heterogeneous linear uncertain multi-agent systems,International Journal of Robust and Nonlinear Control,24(17):2819–2839,2014.
[20]P.Tabuada,Event-triggered real-time scheduling of stabilizing control tasks,IEEE Transactions on Automatic Control,52(9):1680–1685,2007.
[21]P.Tallapragada and N.Chopra,On event triggered tracking for nonlinear systems,IEEE Transactions on Automatic Control,58(9):2343–2348,2013.