Robust Event-Triggered Control of Nonlinear System Subject to External Disturbance
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- 英文论文题名：Robust Event-Triggered Control of Nonlinear System Subject to External Disturbance
- 论文作者：Pengpeng Zhang ; Tengfei Liu ; Zhong-Ping Jiang
- 英文论文作者：Pengpeng Zhang ; Tengfei Liu ; Zhong-Ping Jiang ; State Key Laboratory of Synthetical Automation for Process Industries ; Northeastern University ; Tandon School of Engineering ; New York University ; 5 Metro Tech Center
- 年：2017
- 作者机构：State Key Laboratory of Synthetical Automation for Process Industries,Northeastern University;Tandon School of Engineering,New York University,5 Metro Tech Center;
- 英文论文关键词：Event-Triggered Control ; Input-to-State Stabilization ; External Disturbances
- 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：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：269k
- 原文格式：D
- 会议级别：全国
摘要
This paper studies an event-triggered control problem for nonlinear systems in the presence of external disturbances. To avoid infinitely fast sampling caused by disturbances, a new event-triggering mechanism is proposed, which depends not only on the system state but also on an estimation of the influence of the external disturbance. Moreover, the closed-loop event-triggered system is proved to be input-to-state stable(ISS) with the external disturbance as the input. Refined tools of input-to-state stability(ISS) and the small-gain theorem are employed in solving the problem.
This paper studies an event-triggered control problem for nonlinear systems in the presence of external disturbances. To avoid infinitely fast sampling caused by disturbances, a new event-triggering mechanism is proposed, which depends not only on the system state but also on an estimation of the influence of the external disturbance. Moreover, the closed-loop event-triggered system is proved to be input-to-state stable(ISS) with the external disturbance as the input. Refined tools of input-to-state stability(ISS) and the small-gain theorem are employed in solving the problem.
This paper studies an event-triggered control problem for nonlinear systems in the presence of external disturbances. To avoid infinitely fast sampling caused by disturbances, a new event-triggering mechanism is proposed, which depends not only on the system state but also on an estimation of the influence of the external disturbance. Moreover, the closed-loop event-triggered system is proved to be input-to-state stable(ISS) with the external disturbance as the input. Refined tools of input-to-state stability(ISS) and the small-gain theorem are employed in solving the problem.
引文
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[16]A.Girard.Dynamic triggering mechanisms for event-triggered control.IEEE Transactions on Automatic Control,60:1992–1997,2015.
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[24]T.F.Liu,Z P.Jiang,and D J.Hill.Nonlinear Control of Dynamic Networks.Boca Raton:CRC Press,2014.
[2]K J.strm and B.Bernhardsson.Comparison of periodic and event based sampling for first order stochastic systems.In Proceedings of the IFAC World Congress,Beijing,1999.
[3]A.Anta and P.Tabuada.To sample or not to sample:Selftriggered control for nonlinear systems.IEEE Transactions on Automatic Control,55:2030–2042,2010.
[4]P J.Gawthrop and L.B.Wang.Event-driven intermittent control.International Journal of Control,82:2235–2248,2009.
[5]W P M H.Heemels,K H.Johansson,and P.Tabuada.An introduction to event-triggered and self-triggered control.In Proceedings of the 51st IEEE Conference on Decision and Control,pages 3270–3285,2012.
[6]W P M H.Heemels and M C F.Donkers.Model-based periodic event-triggered control for linear systems.Automatica,49:698–711,2013.
[7]J.Lunze and D.Lehmann.A state-feedback approach to eventbased control.Automatica,46:211–215,2010.
[8]P.Tabuada.Event-triggered real-time scheduling of stabilizing control tasks.IEEE Transactions on Automatic Control,52:1680–1685,2007.
[9]N.Marchand,S.Durand,and J F G.Castellanos.A general formula for event-based stabilization of nonlinear systems.IEEE Transactions on Automatic Control,58:1332–1337,2013.
[10]F D.Brunner,T M P.Gommans,W P M H.Heemels,and F.Allgwer.Resource-aware set-valued estimation for
discrete-time linear systems.In Proceedings of the 54th IEEE Conference on Decision and Control,pages 5480–5486,2015.
[11]W P M H.Heemels,J H.Sandee,and P P J.Van Den Bosch.Analysis of event-driven controllers for linear systems.International Journal of Control,81:571–590,2008.
[12]T.Henningsson,E.Johannesson,and A.Cervin.Sporadic event-based control of first-order linear stochastic systems.Automatica,44:2890–2895,2008.
[13]D V.Dimarogonas and K H.Johansson.Event-triggered control for multi-agent systems.In Proceedings of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference,pages 7131–7136,2009.
[14]X.F.Wang and M D.Lemmon.Event-Triggering in Distributed Networked Systems with Data Dropouts and Delays,Hybrid Systems:Computation and Control.Heidelberg:Springer Berlin,2009.
[15]X.Wang and M D.Lemmon.Event design in event-triggered feedback control systems.In Proceedings of the 47th IEEE Conference on Decision and Control,pages 2105–2110,2008.
[16]A.Girard.Dynamic triggering mechanisms for event-triggered control.IEEE Transactions on Automatic Control,60:1992–1997,2015.
[17]M D.Lemmon.Event-triggered feedback in control,estimation,and optimization.Berlin:Springer-Verlag,2010.
[18]R.Goebel,R G.Sanfelice,and A R.Teel.Hybrid dynamical systems:Robust stability and control for systems that combine continuous-time and discrete-time dynamics.IEEE Control Systems Magazine,4:28–93,2009.
[19]T.F.Liu and Z P.Jiang.A small-gain approach to robust eventtriggered control of nonlinear systems.IEEE Transactions on Automatic Control,60:2072–2085,2015.
[20]E D.Sontag and Y.Wang.On characterizations of the inputto-state stability property.Systems&Control Letters,24:351–359,1995.
[21]E D.Sontag and Y.Wang.New characterizations of inputto-state stability.IEEE Transactions on Automatic Control,41:1283–1294,1996.
[22]E D.Sontag.Input to state stability:Basic concepts and results.In:P.Nistri,G.Stefani.(Eds.),Nonlinear and Optimal Control Theory.Berlin:Springer-Verlag,2006.
[23]Z P.Jiang,A R.Teel,and L.Praly.Small-gain theorem for ISS systems and applications.Mathematics of Control,Signals and Systems,7:95–120,1994.
[24]T.F.Liu,Z P.Jiang,and D J.Hill.Nonlinear Control of Dynamic Networks.Boca Raton:CRC Press,2014.