Robust Output Feedback Stabilization for Polytopic Uncertain Hamiltonian Systems with Saturated Time-Delay Input
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- 英文论文题名：Robust Output Feedback Stabilization for Polytopic Uncertain Hamiltonian Systems with Saturated Time-Delay Input
- 论文作者：Weiwei Sun ; Congcong Nie ; Kaili Wang
- 英文论文作者：Weiwei Sun ; Congcong Nie ; Kaili Wang ; Institute of Automation ; Qufu Normal University ; School of Engineering ; Qufu Normal University
- 年：2017
- 作者机构：Institute of Automation,Qufu Normal University;School of Engineering,Qufu Normal University;
- 英文论文关键词：Output feedback stabilization ; Hamiltonian systems ; Polytopic uncertainties ; Saturated time-delay input
- 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：5
- 文件大小：252k
- 原文格式：D
- 会议级别：全国
摘要
This paper investigates the problem of robust output feedback stabilization of uncertain Hamiltonian systems with saturating actuator and input delay. The uncertainties are assumed to be time invariant and belong to convex bounded polytopic domain. By employing Lyapunov-Krasovskii functional method and Wirtinger's inequality, some sufficient conditions are derived for stabilization of nonlinear Hamiltonian systems under consideration. A delay-independent condition in terms of linear matrix inequalities for control of the Hamiltonian systems is established first. And further, an output feedback controller synthesis scheme under the multiple Lyapunov functional framework is proposed which guarantees the robust stability of the closed-loop system when control saturation and delay effectively occur. Finally, numerical results are given to demonstrate the effectiveness of the proposed methodology.
This paper investigates the problem of robust output feedback stabilization of uncertain Hamiltonian systems with saturating actuator and input delay. The uncertainties are assumed to be time invariant and belong to convex bounded polytopic domain. By employing Lyapunov-Krasovskii functional method and Wirtinger's inequality, some sufficient conditions are derived for stabilization of nonlinear Hamiltonian systems under consideration. A delay-independent condition in terms of linear matrix inequalities for control of the Hamiltonian systems is established first. And further, an output feedback controller synthesis scheme under the multiple Lyapunov functional framework is proposed which guarantees the robust stability of the closed-loop system when control saturation and delay effectively occur. Finally, numerical results are given to demonstrate the effectiveness of the proposed methodology.
This paper investigates the problem of robust output feedback stabilization of uncertain Hamiltonian systems with saturating actuator and input delay. The uncertainties are assumed to be time invariant and belong to convex bounded polytopic domain. By employing Lyapunov-Krasovskii functional method and Wirtinger's inequality, some sufficient conditions are derived for stabilization of nonlinear Hamiltonian systems under consideration. A delay-independent condition in terms of linear matrix inequalities for control of the Hamiltonian systems is established first. And further, an output feedback controller synthesis scheme under the multiple Lyapunov functional framework is proposed which guarantees the robust stability of the closed-loop system when control saturation and delay effectively occur. Finally, numerical results are given to demonstrate the effectiveness of the proposed methodology.
引文
[1]S.Aoues,W.Lombardi,D.Eberard Aoues,et al.,Robust stability for delayed port-Hamiltonian systems using improved Wirtinger-based inequality.IEEE 53rd Conference on Decision and Control,Los Angeles,USA,2014:3119–3124.
[2]B.Chen,S.Wang,H.Lu,Stabilization of time-delay system containing saturating actuators,International Journal of Control,47(3):867–881,1988.
[3]Y.Chen,S.Fei,Y.Li,Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback,Automatica,52(2):242–247,2015.
[4]N.Fischer,A.Dani,N.Sharma,et al,Saturated control of an uncertain nonlinear system with input delay,Automatica,49(6):1741–1747,2013.
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[6]T.Hu,Z.Lin and B.Chen,An analysis and design method for linear systems subject to actuator saturation and disturbance,Automatica,38(2):351–359,2002.
[7]Y.Liu,J.Li,Q.Ding,et al.,Dissipative Hamiltonian realisation and decentralised saturated control of multi-machine multi-load power systems,IET Control Theory and Applications,7(9):1287–1293,2013.
[8]B.Maschke,A.vander Schaft,Port-controlled Hamiltonian systems:Modeling origins and system theoretic properties,the 2nd IFAC Symp.Nonlinear Control Systems Design,1992:282–288
[9]M.Rehan,N.Iqbal,K.Hong,Delay-range-dependent control of nonlinear time-delay systems under input saturation,International Journal of Robust and Nonlinear Control,26(8):1647–1666,2016.
[10]J.Schiffer,E.Fridman,R.Ortega,J.Raisch,Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation,Automatica,74(12):71–79,2016.
[11]W.Sun.Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation.Applied Mathematics and Computation,217(23):9625–9634,2011.
[12]W.Sun,B.Fu,Adaptive control of time-varying uncertain nonlinear systems with input delay:a Hamiltonian approach,IET Control Theory and Applications,10(15):1844–1858,2016.
[13]W.Sun,L.Peng,Robust adaptive control of uncertain stochastic Hamiltonian systems with time varying delay,Asian Journal of Control,18(2):642–651,2016.
[14]A.Wei,Y.Wang,Stabilization and H∞control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation,Automatica,46(12):2008–2013,2010.
[15]Z.Xi,G.Feng,D.Cheng,et al.,Nonlinear decentralized saturated controller design for power systems,IEEE Trans.on Control Systems Technology,11(4):539–547,2003.
[16]K.Yakoubi,Y.Chitour.Linear systems subject to input saturation and time delay:Global asymptotic stabilization.IEEE Trans.on Automatic Control,52(5):874–879,2007.
[17]H.Ram?rez,Y.Gorrec,B.Maschke,et al.,On the passivity based control of irreversible processes:A port-Hamiltonian approach,Automatica,64:105C-111,2016.
[18]R.Yang,Y.Wang,Stability for a class of nonlinear time-delay systems via Hamiltonian functional method,Science China Information Sciences,55(5):1218–1228,2012.
[19]H.Ye,Saturated delayed controls for feedforward nonlinear systems,IEEE Trans.on Automatic Control,59(6):1646-1653,2014.
[2]B.Chen,S.Wang,H.Lu,Stabilization of time-delay system containing saturating actuators,International Journal of Control,47(3):867–881,1988.
[3]Y.Chen,S.Fei,Y.Li,Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback,Automatica,52(2):242–247,2015.
[4]N.Fischer,A.Dani,N.Sharma,et al,Saturated control of an uncertain nonlinear system with input delay,Automatica,49(6):1741–1747,2013.
[5]K.Gu,V.Kharitonov,J.Chen,Stability of Time-delay Systems,Boston:Birkh¨auser,2003.
[6]T.Hu,Z.Lin and B.Chen,An analysis and design method for linear systems subject to actuator saturation and disturbance,Automatica,38(2):351–359,2002.
[7]Y.Liu,J.Li,Q.Ding,et al.,Dissipative Hamiltonian realisation and decentralised saturated control of multi-machine multi-load power systems,IET Control Theory and Applications,7(9):1287–1293,2013.
[8]B.Maschke,A.vander Schaft,Port-controlled Hamiltonian systems:Modeling origins and system theoretic properties,the 2nd IFAC Symp.Nonlinear Control Systems Design,1992:282–288
[9]M.Rehan,N.Iqbal,K.Hong,Delay-range-dependent control of nonlinear time-delay systems under input saturation,International Journal of Robust and Nonlinear Control,26(8):1647–1666,2016.
[10]J.Schiffer,E.Fridman,R.Ortega,J.Raisch,Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation,Automatica,74(12):71–79,2016.
[11]W.Sun.Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation.Applied Mathematics and Computation,217(23):9625–9634,2011.
[12]W.Sun,B.Fu,Adaptive control of time-varying uncertain nonlinear systems with input delay:a Hamiltonian approach,IET Control Theory and Applications,10(15):1844–1858,2016.
[13]W.Sun,L.Peng,Robust adaptive control of uncertain stochastic Hamiltonian systems with time varying delay,Asian Journal of Control,18(2):642–651,2016.
[14]A.Wei,Y.Wang,Stabilization and H∞control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation,Automatica,46(12):2008–2013,2010.
[15]Z.Xi,G.Feng,D.Cheng,et al.,Nonlinear decentralized saturated controller design for power systems,IEEE Trans.on Control Systems Technology,11(4):539–547,2003.
[16]K.Yakoubi,Y.Chitour.Linear systems subject to input saturation and time delay:Global asymptotic stabilization.IEEE Trans.on Automatic Control,52(5):874–879,2007.
[17]H.Ram?rez,Y.Gorrec,B.Maschke,et al.,On the passivity based control of irreversible processes:A port-Hamiltonian approach,Automatica,64:105C-111,2016.
[18]R.Yang,Y.Wang,Stability for a class of nonlinear time-delay systems via Hamiltonian functional method,Science China Information Sciences,55(5):1218–1228,2012.
[19]H.Ye,Saturated delayed controls for feedforward nonlinear systems,IEEE Trans.on Automatic Control,59(6):1646-1653,2014.