Stabilization of nonlinear delay Hamiltonian system with actuator saturation and input delay
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- 英文论文题名：Stabilization of nonlinear delay Hamiltonian system with actuator saturation and input delay
- 论文作者：Renming Yang
- 英文论文作者：Renming Yang ; Shandong Jiaotong University
- 年：2017
- 作者机构：Shandong Jiaotong University;
- 英文论文关键词：Nonlinear time-delay Hamiltonian system ; actuator saturation ; input delay
- 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：O175;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：199k
- 原文格式：D
- 会议级别：全国
摘要
This paper investigates the stabilization problem for a class of nonlinear time-delay Hamiltonian systems with actuator saturation and input delay, and proposes delay-independent and delay-dependent results on the systems by applying Lyapunov-Krasovskii(L-K) functional method. Different from existing methods,we construct a suitable L-K functional to overcome the input delay problems, obtain some less conservative results by introducing some free weighted matrices. The study of an illustrative example shows that the results obtained in this paper work very well in the stabilization analysis of some nonlinear time-delay Hamiltonian systems.
This paper investigates the stabilization problem for a class of nonlinear time-delay Hamiltonian systems with actuator saturation and input delay, and proposes delay-independent and delay-dependent results on the systems by applying Lyapunov-Krasovskii(L-K) functional method. Different from existing methods,we construct a suitable L-K functional to overcome the input delay problems, obtain some less conservative results by introducing some free weighted matrices. The study of an illustrative example shows that the results obtained in this paper work very well in the stabilization analysis of some nonlinear time-delay Hamiltonian systems.
This paper investigates the stabilization problem for a class of nonlinear time-delay Hamiltonian systems with actuator saturation and input delay, and proposes delay-independent and delay-dependent results on the systems by applying Lyapunov-Krasovskii(L-K) functional method. Different from existing methods,we construct a suitable L-K functional to overcome the input delay problems, obtain some less conservative results by introducing some free weighted matrices. The study of an illustrative example shows that the results obtained in this paper work very well in the stabilization analysis of some nonlinear time-delay Hamiltonian systems.
引文
[1]Gu,K.,Kharitonov,V.L.,Chen,J.,2003.Stability of Time-Delay systems,Berlin:Springer.
[2]He,Y.,Wu,M.,She,J.,Liu,G.,2004.Parameterdependent Lyapunov functional 73 for stability of time-delay systems with polytopic-type uncertainties.IEEE Transactions on Automatic Control,49:828-832.
[3]Han,Q.,2005.On stability of linear neutral systems with mixed time delays:a discretized Lyapunov functional approach.Automatica,41(7):1209-1218.
[4]Xu,S.,Lam,J.,2005.Improved delay-dependent stability criteria for time-delay 5 systems.IEEE Transactions on Automatic Control,50(3):384-387.
[5]Coutinho,D.F.,de Souza,C.E.,2008.Delaydependent robust stability and L2-gain analysis of a class of nonlinear time-delay systems.Automatica,44(57):2006-2018.
[6]Yang R,Wang Y,2014.New delay-dependent stability criteria and robust control of nonlinaer time-delay systems.J Syst Sci Complex,27:883-898
[7]Yang R,Wang Y.,2012.stability analysis and H∞control design for a class of nonlinear time-delay systems.Asian Journal of Control,14(1):153-162.
[8]Zhang L,Huang B.,2004.H2 approximation of multiple input/output delay systems.Journal of Process Control.,14:627-634.
[9]Sun W,Peng L,2014.Observer-based robust adaptive control for stochastic Hamiltonian systems with state and input delays.Nonlinear Analysis:Modelling and Control,19(4):626-645.
[10]Xie W,Fu M,Ding F,Zhang J.,2013.Robust sliding mode control on the dynamic positioning vessel with control input time-delay.Journal of Harbin Engineering University.,34(10):1249-1253.
[11]Cheng D,Xi,Z,Hong,Y,Qin H.,1999.Energy-based stabilization of forced Hamiltoniansystems with its applicationto power systems.Proceedings of the 14th IFAC world congress,Vol.O,Beijing,Peoples Republic of China,pp.297-303.
[12]Maschke B.M,&van der Schaft A.J.,1992.Portcontrolled Hamiltonian systems:Modelling origins and system theoretic properties.Proceedings of the IFAC symposium on NOLCOS,Bordeaux,France,pp.282-288.
[13]Ortega R,van der Schaft A.J.,Maschke B.M,Escobar G.,2002.Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems.Automatica,38(4):585-596.
[14]Wang Y,Li C,Cheng D.,2003.Generalized Hamiltonian realization of time-invariant nonlinear systems,Automatica,39:1437-1443.
[15]Xi Z,Cheng D,Lu Q,Mei S.,2002.Nonlinear decentralized controller design for multimachine power systems using Hamiltonian function method.Automatica,38(3):527-534.
[16]Yang R,Wang Y.,2012.Stability for a class of nonlinear time-delay systems via Hamiltonian functional method.Science China:Information Sciences,55(5):1218-1228.
[17]Yang R,Wang Y.,2013.Finite-time stability analysis and H∞control for a class of nonlinear time-delay Hamiltonian systems.Automatica,;49(2):390-401.
[18]Sun L,Feng G.,Wang Y.,2014.Finite-time stabilization and H∞control for a class of nonlinear Hamiltonian descriptor systems with application to affine nonlinear descriptor systems.Automatica,50(8):2090-2097.
[19]Sun,W.,2011.Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation.Applied Mathematics and Computation.217:9625-9634.
[20]Wei A,Wang Y.,2010.Stabilization and H∞control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation.Automatica,46(12):2008-2013.
[21]Fridman,E.,2001.A descriptor system approach to nonlinear singularly perturbed optimal control problems.Automatica.,37:543-549.
[2]He,Y.,Wu,M.,She,J.,Liu,G.,2004.Parameterdependent Lyapunov functional 73 for stability of time-delay systems with polytopic-type uncertainties.IEEE Transactions on Automatic Control,49:828-832.
[3]Han,Q.,2005.On stability of linear neutral systems with mixed time delays:a discretized Lyapunov functional approach.Automatica,41(7):1209-1218.
[4]Xu,S.,Lam,J.,2005.Improved delay-dependent stability criteria for time-delay 5 systems.IEEE Transactions on Automatic Control,50(3):384-387.
[5]Coutinho,D.F.,de Souza,C.E.,2008.Delaydependent robust stability and L2-gain analysis of a class of nonlinear time-delay systems.Automatica,44(57):2006-2018.
[6]Yang R,Wang Y,2014.New delay-dependent stability criteria and robust control of nonlinaer time-delay systems.J Syst Sci Complex,27:883-898
[7]Yang R,Wang Y.,2012.stability analysis and H∞control design for a class of nonlinear time-delay systems.Asian Journal of Control,14(1):153-162.
[8]Zhang L,Huang B.,2004.H2 approximation of multiple input/output delay systems.Journal of Process Control.,14:627-634.
[9]Sun W,Peng L,2014.Observer-based robust adaptive control for stochastic Hamiltonian systems with state and input delays.Nonlinear Analysis:Modelling and Control,19(4):626-645.
[10]Xie W,Fu M,Ding F,Zhang J.,2013.Robust sliding mode control on the dynamic positioning vessel with control input time-delay.Journal of Harbin Engineering University.,34(10):1249-1253.
[11]Cheng D,Xi,Z,Hong,Y,Qin H.,1999.Energy-based stabilization of forced Hamiltoniansystems with its applicationto power systems.Proceedings of the 14th IFAC world congress,Vol.O,Beijing,Peoples Republic of China,pp.297-303.
[12]Maschke B.M,&van der Schaft A.J.,1992.Portcontrolled Hamiltonian systems:Modelling origins and system theoretic properties.Proceedings of the IFAC symposium on NOLCOS,Bordeaux,France,pp.282-288.
[13]Ortega R,van der Schaft A.J.,Maschke B.M,Escobar G.,2002.Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems.Automatica,38(4):585-596.
[14]Wang Y,Li C,Cheng D.,2003.Generalized Hamiltonian realization of time-invariant nonlinear systems,Automatica,39:1437-1443.
[15]Xi Z,Cheng D,Lu Q,Mei S.,2002.Nonlinear decentralized controller design for multimachine power systems using Hamiltonian function method.Automatica,38(3):527-534.
[16]Yang R,Wang Y.,2012.Stability for a class of nonlinear time-delay systems via Hamiltonian functional method.Science China:Information Sciences,55(5):1218-1228.
[17]Yang R,Wang Y.,2013.Finite-time stability analysis and H∞control for a class of nonlinear time-delay Hamiltonian systems.Automatica,;49(2):390-401.
[18]Sun L,Feng G.,Wang Y.,2014.Finite-time stabilization and H∞control for a class of nonlinear Hamiltonian descriptor systems with application to affine nonlinear descriptor systems.Automatica,50(8):2090-2097.
[19]Sun,W.,2011.Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation.Applied Mathematics and Computation.217:9625-9634.
[20]Wei A,Wang Y.,2010.Stabilization and H∞control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation.Automatica,46(12):2008-2013.
[21]Fridman,E.,2001.A descriptor system approach to nonlinear singularly perturbed optimal control problems.Automatica.,37:543-549.