Output-Feedback Tracking of Stochastic Nonlinear Systems Using Homogeneous Domination Approach
详细信息 查看官网全文
- 英文论文题名：Output-Feedback Tracking of Stochastic Nonlinear Systems Using Homogeneous Domination Approach
- 论文作者：Wuquan Li ; Hui Wang
- 英文论文作者：Wuquan Li ; Hui Wang ; School of Mathematics and Statistics Science ; Ludong University
- 年：2017
- 作者机构：School of Mathematics and Statistics Science,Ludong University;
- 英文论文关键词：Output-feedback ; Tracking ; Stochastic 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（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 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：229k
- 原文格式：D
- 会议级别：全国
摘要
This paper studies the output tracking problem for a class of stochastic nonlinear systems via output-feedback control.Unlike most of the existing results where only state-feedback control is considered for output tracking, we allow unmeasurable states exist in this paper. Based on the homogeneous domination technique, an output tracking controller is designed, which can ensure that the tracking error converges to an arbitrarily small neighborhood of zero while keeping all the states of the closed-loop system bounded in probability. Finally, a simulation example is given to illustrate the efficiency of the tracking controller.
This paper studies the output tracking problem for a class of stochastic nonlinear systems via output-feedback control.Unlike most of the existing results where only state-feedback control is considered for output tracking, we allow unmeasurable states exist in this paper. Based on the homogeneous domination technique, an output tracking controller is designed, which can ensure that the tracking error converges to an arbitrarily small neighborhood of zero while keeping all the states of the closed-loop system bounded in probability. Finally, a simulation example is given to illustrate the efficiency of the tracking controller.
This paper studies the output tracking problem for a class of stochastic nonlinear systems via output-feedback control.Unlike most of the existing results where only state-feedback control is considered for output tracking, we allow unmeasurable states exist in this paper. Based on the homogeneous domination technique, an output tracking controller is designed, which can ensure that the tracking error converges to an arbitrarily small neighborhood of zero while keeping all the states of the closed-loop system bounded in probability. Finally, a simulation example is given to illustrate the efficiency of the tracking controller.
引文
[1]R.Z.Has’minskii,Stochastic Stability of Differential Equations.Norwell:Kluwer Academic Publishers,1980.
[2]H.J.Kushner,Stochastic Stability and Control.New York:Academic,1967.
[3]X.R.Mao,and C.G.Yuan,Stochastic Differential Equations with Markovian switching.London:Imperial College Press,2006.
[4]Y.G.Liu,and J.F.Zhang,Practical output-feedback risksensitive control for stochastic nonlinear systems with stable zero-dynamics,SIAM J.Control Optim.,45:885–926,2006.
[5]Z.G.Pan,and T.Basar,Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion,SIAM J.Control Optim.,37:957–995,1999.
[6]H.Deng,and M.Krsti,Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance,Systems Control Lett.,39:173–182,2000.
[7]M.Krsti,and H.Deng,Stabilization of Uncertain Nonlinear Systems.New York:Springer,1998.
[8]Z.J.Wu,X.J.Xie,and S.Y.Zhang,Adaptive backstepping controller design using stochastic small-gain theorem,Automatica,43:608–620,2007.
[9]Z.J.Wu,X.J.Xie,and S.Y.Zhang,Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function,Int.J.Control,79(12):1635–1646,2006.
[10]Z.J.Wu,J.Yang,and P.Shi,Adaptive tracking for stochastic nonlinear systems with markovian switching,IEEE Trans.on Automatic Control,55:2135–2141,2010.
[11]X.J.Xie,and N.Duan,Output tracking of high-order stochastic nonlinear systems with application to benchmark mechanical system,IEEE Trans.on Automatic Control,55:1197–1202,2010.
[12]W.Q.Li,and Z.J.Wu,Output tracking of stochastic highorder nonlinear systems with Markovian switching,IEEE Trans.on Automatic Control,58:1585–1590,2013.
[13]Q.Gong,and C.J.Qian,Global practical tracking of a class of nonlinear systems by output feedback,Automatica,43:184–189,2007.
[14]W.Q.Li,X.J.Xie,and S.Y.Zhang,Output-feedback stabilization of stochastic high-order nonlinear systems under weaker conditions,SIAM J.Control Optim.,49:1262–1282,2011.
[15]H.Hermes,Homogeneous Coordinates and Continuous Asymptotically Stabilizing Feedback Controls.New York:Dekker,1991.
[2]H.J.Kushner,Stochastic Stability and Control.New York:Academic,1967.
[3]X.R.Mao,and C.G.Yuan,Stochastic Differential Equations with Markovian switching.London:Imperial College Press,2006.
[4]Y.G.Liu,and J.F.Zhang,Practical output-feedback risksensitive control for stochastic nonlinear systems with stable zero-dynamics,SIAM J.Control Optim.,45:885–926,2006.
[5]Z.G.Pan,and T.Basar,Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion,SIAM J.Control Optim.,37:957–995,1999.
[6]H.Deng,and M.Krsti,Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance,Systems Control Lett.,39:173–182,2000.
[7]M.Krsti,and H.Deng,Stabilization of Uncertain Nonlinear Systems.New York:Springer,1998.
[8]Z.J.Wu,X.J.Xie,and S.Y.Zhang,Adaptive backstepping controller design using stochastic small-gain theorem,Automatica,43:608–620,2007.
[9]Z.J.Wu,X.J.Xie,and S.Y.Zhang,Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function,Int.J.Control,79(12):1635–1646,2006.
[10]Z.J.Wu,J.Yang,and P.Shi,Adaptive tracking for stochastic nonlinear systems with markovian switching,IEEE Trans.on Automatic Control,55:2135–2141,2010.
[11]X.J.Xie,and N.Duan,Output tracking of high-order stochastic nonlinear systems with application to benchmark mechanical system,IEEE Trans.on Automatic Control,55:1197–1202,2010.
[12]W.Q.Li,and Z.J.Wu,Output tracking of stochastic highorder nonlinear systems with Markovian switching,IEEE Trans.on Automatic Control,58:1585–1590,2013.
[13]Q.Gong,and C.J.Qian,Global practical tracking of a class of nonlinear systems by output feedback,Automatica,43:184–189,2007.
[14]W.Q.Li,X.J.Xie,and S.Y.Zhang,Output-feedback stabilization of stochastic high-order nonlinear systems under weaker conditions,SIAM J.Control Optim.,49:1262–1282,2011.
[15]H.Hermes,Homogeneous Coordinates and Continuous Asymptotically Stabilizing Feedback Controls.New York:Dekker,1991.