A Rule-based Mechanism for Event-Triggered Control of Nonlinear Systems
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- 英文论文题名：A Rule-based Mechanism for Event-Triggered Control of Nonlinear Systems
- 论文作者：Mengxi Wang ; Tengfei Liu ; Zhong-Ping Jiang
- 英文论文作者：Mengxi Wang ; 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 ; rule-based triggering ; input-to-state stabilization ; nonlinear 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（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：316k
- 原文格式：D
- 会议级别：全国
摘要
We propose a new event-generating rule for event-triggered control of nonlinear systems with external disturbances.We consider control systems that are input-to-state stabilizable with the external disturbance and the sampling errors as the inputs. By introducing a decision-making process in the event trigger, our sampling intervals are guaranteed to be larger than a positive lower bound. Moreover, we prove that the closed-loop event-triggered system is input-to-state stable with the external disturbance as the input. Our example and simulation show the effectiveness of the proposed design in reducing sampling times.
We propose a new event-generating rule for event-triggered control of nonlinear systems with external disturbances.We consider control systems that are input-to-state stabilizable with the external disturbance and the sampling errors as the inputs. By introducing a decision-making process in the event trigger, our sampling intervals are guaranteed to be larger than a positive lower bound. Moreover, we prove that the closed-loop event-triggered system is input-to-state stable with the external disturbance as the input. Our example and simulation show the effectiveness of the proposed design in reducing sampling times.
We propose a new event-generating rule for event-triggered control of nonlinear systems with external disturbances.We consider control systems that are input-to-state stabilizable with the external disturbance and the sampling errors as the inputs. By introducing a decision-making process in the event trigger, our sampling intervals are guaranteed to be larger than a positive lower bound. Moreover, we prove that the closed-loop event-triggered system is input-to-state stable with the external disturbance as the input. Our example and simulation show the effectiveness of the proposed design in reducing sampling times.
引文
[1]L.Grüne,S.Hirche,O.Junge,P.Koltai,D.Lehmann,J.Lunze,A.Molin,R.Sailer,M.Sigurani,C.Stcker,and F.Wirth,Event-Based Control.Heidelberg:Springer International Publishing,2014,pp.169–261.
[2]K.-E.Arzen,“A simple event-based PID controller,”in Proceedings of the 1999 IFAC World Congress,1999,pp.423–428.
[3]K.J.strm and B.M.Bernhardsson,“Comparison of Riemann and Lebesgue sampling for first order stochastic systems,”in Proceedings of the 41th IEEE Conference on Decision and Control,2002,pp.2011–2016.
[4]T.Liu and Z.P.Jiang,“Event-based control of nonlinear systems with partial state and output feedback,”Automatica,vol.53,pp.10–22,2015.
[5]P.Tabuada,“Event-triggered real-time scheduling of stabilizing control tasks,”IEEE Transactions on Automatic Control,vol.52,pp.1680–1685,2007.
[6]T.Henningsson,E.Johannesson,and A.Cervin,“Sporadic event-based control of first-order linear stochastic systems,”Automatica,vol.44,pp.2890–2895,2008.
[7]P.J.Gawthrop and L.B.Wang,“Event-driven intermittent control,”International Journal of Control,vol.82,pp.2235–2248,2009.
[8]M.D.Lemmon,“Event-triggered feedback in control,estimation,and optimization,”in Networked Control Systems,ser.Lecture Notes in Control and Information Sciences,A.Bemporad,M.Heemels,and M.Johansson,Eds.Berlin:Springer-Verlag,2010,pp.293–358.
[9]A.Anta and P.Tabuada,“To sample or not to sample:selftriggered control for nonlinear systems,”IEEE Transactions on Automatic Control,vol.55,pp.2030–2042,2010.
[10]J.Lunze and D.Lehmann,“A state-feedback approach to event-based control,”Automatica,vol.46,pp.211–215,2010.
[11]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,2012,pp.3270–3285.
[12]N.Marchand,S.Durand,and J.F.G.Castellanos,“A general formula for event-based stabilization of nonlinear systems,”IEEE Transactions on Automatic Control,vol.58,pp.1332–1337,2013.
[13]W.P.M.H.Heemels and M.C.F.Donkers,“Model-based periodic event-triggered control for linear systems,”Automatica,vol.49,pp.698–711,2013.
[14]A.Girard,“Dynamic triggering mechanisms for eventtriggered control,”IEEE Transactions on Automatic Control,vol.60,no.7,pp.1992–1997,2015.
[15]E.D.Sontag,“Input to state stability:Basic concepts and results,”in Nonlinear and Optimal Control Theory,P.Nistri and G.Stefani,Eds.Berlin:Springer-Verlag,2007,pp.163–220.
[16]Z.P.Jiang,A.R.Teel,and L.Praly,“Small-gain theorem for ISS systems and applications,”Mathematics of Control,Signals and Systems,vol.7,pp.95–120,1994.
[17]T.Liu,D.J.Hill,and Z.P.Jiang,“Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks,”Automatica,vol.47,pp.2088–2093,2011.
[18]H.K.Khalil,Nonlinear Systems,3rd ed.NJ:Prentice-Hall,2002.
[19]T.Liu and Z.P.Jiang,“A small-gain approach to robust eventtriggered control of nonlinear systems,”IEEE Transactions on Automatic Control,vol.60,pp.2072–2085,2015.
[20]R.Goebel,R.G.Sanfelice,and A.R.Teel,Hybrid Dynamical Systems:Modeling,Stability,and Robustness.Princeton University Press,2012.
[2]K.-E.Arzen,“A simple event-based PID controller,”in Proceedings of the 1999 IFAC World Congress,1999,pp.423–428.
[3]K.J.strm and B.M.Bernhardsson,“Comparison of Riemann and Lebesgue sampling for first order stochastic systems,”in Proceedings of the 41th IEEE Conference on Decision and Control,2002,pp.2011–2016.
[4]T.Liu and Z.P.Jiang,“Event-based control of nonlinear systems with partial state and output feedback,”Automatica,vol.53,pp.10–22,2015.
[5]P.Tabuada,“Event-triggered real-time scheduling of stabilizing control tasks,”IEEE Transactions on Automatic Control,vol.52,pp.1680–1685,2007.
[6]T.Henningsson,E.Johannesson,and A.Cervin,“Sporadic event-based control of first-order linear stochastic systems,”Automatica,vol.44,pp.2890–2895,2008.
[7]P.J.Gawthrop and L.B.Wang,“Event-driven intermittent control,”International Journal of Control,vol.82,pp.2235–2248,2009.
[8]M.D.Lemmon,“Event-triggered feedback in control,estimation,and optimization,”in Networked Control Systems,ser.Lecture Notes in Control and Information Sciences,A.Bemporad,M.Heemels,and M.Johansson,Eds.Berlin:Springer-Verlag,2010,pp.293–358.
[9]A.Anta and P.Tabuada,“To sample or not to sample:selftriggered control for nonlinear systems,”IEEE Transactions on Automatic Control,vol.55,pp.2030–2042,2010.
[10]J.Lunze and D.Lehmann,“A state-feedback approach to event-based control,”Automatica,vol.46,pp.211–215,2010.
[11]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,2012,pp.3270–3285.
[12]N.Marchand,S.Durand,and J.F.G.Castellanos,“A general formula for event-based stabilization of nonlinear systems,”IEEE Transactions on Automatic Control,vol.58,pp.1332–1337,2013.
[13]W.P.M.H.Heemels and M.C.F.Donkers,“Model-based periodic event-triggered control for linear systems,”Automatica,vol.49,pp.698–711,2013.
[14]A.Girard,“Dynamic triggering mechanisms for eventtriggered control,”IEEE Transactions on Automatic Control,vol.60,no.7,pp.1992–1997,2015.
[15]E.D.Sontag,“Input to state stability:Basic concepts and results,”in Nonlinear and Optimal Control Theory,P.Nistri and G.Stefani,Eds.Berlin:Springer-Verlag,2007,pp.163–220.
[16]Z.P.Jiang,A.R.Teel,and L.Praly,“Small-gain theorem for ISS systems and applications,”Mathematics of Control,Signals and Systems,vol.7,pp.95–120,1994.
[17]T.Liu,D.J.Hill,and Z.P.Jiang,“Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks,”Automatica,vol.47,pp.2088–2093,2011.
[18]H.K.Khalil,Nonlinear Systems,3rd ed.NJ:Prentice-Hall,2002.
[19]T.Liu and Z.P.Jiang,“A small-gain approach to robust eventtriggered control of nonlinear systems,”IEEE Transactions on Automatic Control,vol.60,pp.2072–2085,2015.
[20]R.Goebel,R.G.Sanfelice,and A.R.Teel,Hybrid Dynamical Systems:Modeling,Stability,and Robustness.Princeton University Press,2012.