Global output feedback tracking for a class of nonlinear time-delay systems
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- 英文论文题名：Global output feedback tracking for a class of nonlinear time-delay systems
- 论文作者：ZHANG Xu ; LIN Yan ; HUANG Ran
- 英文论文作者：ZHANG Xu ; LIN Yan ; HUANG Ran ; School of Automation ; Beihang University ; College of Information Science and Technology ; Beijing University of Chemical Technology
- 年：2017
- 作者机构：School of Automation,Beihang University;College of Information Science and Technology,Beijing University of Chemical Technology;
- 英文论文关键词：Nonlinear Time-Delay Systems ; Global Practical Tracking ; Output Feedback ; Memoryless Controller
- 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：207k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, we address the problem of global practical tracking by output feedback for a class of nonlinear timedelay systems. The time-delay system under consideration satisfies linear growth condition on unmeasured states with an output dependent incremental rate. By using the dynamic gain scaling technique, a memoryless output feedback tracking controller is developed. With a modified Lyapunov function and appropriate Krasovskii functionals, we show that the output tracking error converges to an arbitrarily small residual set while all the states of the close loop system are bounded.
In this paper, we address the problem of global practical tracking by output feedback for a class of nonlinear timedelay systems. The time-delay system under consideration satisfies linear growth condition on unmeasured states with an output dependent incremental rate. By using the dynamic gain scaling technique, a memoryless output feedback tracking controller is developed. With a modified Lyapunov function and appropriate Krasovskii functionals, we show that the output tracking error converges to an arbitrarily small residual set while all the states of the close loop system are bounded.
In this paper, we address the problem of global practical tracking by output feedback for a class of nonlinear timedelay systems. The time-delay system under consideration satisfies linear growth condition on unmeasured states with an output dependent incremental rate. By using the dynamic gain scaling technique, a memoryless output feedback tracking controller is developed. With a modified Lyapunov function and appropriate Krasovskii functionals, we show that the output tracking error converges to an arbitrarily small residual set while all the states of the close loop system are bounded.
引文
[1]K.Gu,V.Kharitonov and J.Chen,Stability of Time-Delay Systems.Boston:Birkhauser,2003.
[2]J.Hale,Theory Of Functional Differential Equations.New York:Springer-Verlag,1977.
[3]C.Hua,X.Guan and P.Shi,Robust output feedback tracking control for time-delay nonlinear systems using neural network,IEEE Trans.on Neural Networks,18:495–505,2007.
[4]C.Hua,G.Liu,L.Zhang and X.Guan,Output feedback tracking control for nonlinear time-delay systems with tracking errors and input constraints,Neurocomputing,173:751–758,2016.
[5]X.Jia and S.Xu,Global practical tracking by output feedback for nonlinear time-delay systems with uncertain polynomial growth rate,in Proceedings of the 34th Chinese Control Conference,Hangzhou,2015:607–611.
[6]P.Krishnamurthy and F.Khorrami,Dynamic high-gain scaling:state and output feedback with application to systems with ISS appended dynamics driven by all states,IEEE Trans.Automatic Control,49(12):2219–2239,2004.
[7]H.Lei and W.Lin,Adaptive regulation of uncertain nonlinear systems by output feedback:A universal control approach,Syst.Control Lett.,56:529–537,2007.
[8]B.Mirkin and P.Gutman,Robust adaptive output-feedback tracking for a class of nonlinear time-delayed plants,IEEE Trans.on Automatic Control,55(10):2418–2424,2010.
[9]L.Praly and Z.Jiang,Linear output feedback with dynamic high gain for nonlinear systems,Syst.Control Lett.,53:107–116,2004.
[10]S.Tong,Y.Li and H.Zhang,Adaptive neural network decentralized backstepping output-feedback control for nonlinear large-scale systems with time delays,IEEE Trans.on Neural Networks,22(7):1073–1086,2011.
[11]Z.Zhang,S.Xu and H.Shen,Reduced-order observer-based output-feedback tracking control of nonlinear systems with state delay and disturbance,International Journal of Robust and Nonlinear Control,20:1723–1738,2010.
[12]X.Zhang and Y.Lin,A new approach to global asymptotic tracking for a class of low-triangular nonlinear systems via output feedback,IEEE Trans.on Automatic Control,57(12):3192–3196,2012.
[13]J.Zhou,Decentralized adaptive control for large-scale timedelay systems with dead-zone input,Automatica,44:1790–1799,2008.
[14]Q.Zhou,P.Shi,S.Xu and H.Li,Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach,IEEE Trans.on Fuzzy Systems,21(2):301–313,2013.
1Throughout the paper,we use xdto denote the delay term of x,that is,xd=x(t-d)
[2]J.Hale,Theory Of Functional Differential Equations.New York:Springer-Verlag,1977.
[3]C.Hua,X.Guan and P.Shi,Robust output feedback tracking control for time-delay nonlinear systems using neural network,IEEE Trans.on Neural Networks,18:495–505,2007.
[4]C.Hua,G.Liu,L.Zhang and X.Guan,Output feedback tracking control for nonlinear time-delay systems with tracking errors and input constraints,Neurocomputing,173:751–758,2016.
[5]X.Jia and S.Xu,Global practical tracking by output feedback for nonlinear time-delay systems with uncertain polynomial growth rate,in Proceedings of the 34th Chinese Control Conference,Hangzhou,2015:607–611.
[6]P.Krishnamurthy and F.Khorrami,Dynamic high-gain scaling:state and output feedback with application to systems with ISS appended dynamics driven by all states,IEEE Trans.Automatic Control,49(12):2219–2239,2004.
[7]H.Lei and W.Lin,Adaptive regulation of uncertain nonlinear systems by output feedback:A universal control approach,Syst.Control Lett.,56:529–537,2007.
[8]B.Mirkin and P.Gutman,Robust adaptive output-feedback tracking for a class of nonlinear time-delayed plants,IEEE Trans.on Automatic Control,55(10):2418–2424,2010.
[9]L.Praly and Z.Jiang,Linear output feedback with dynamic high gain for nonlinear systems,Syst.Control Lett.,53:107–116,2004.
[10]S.Tong,Y.Li and H.Zhang,Adaptive neural network decentralized backstepping output-feedback control for nonlinear large-scale systems with time delays,IEEE Trans.on Neural Networks,22(7):1073–1086,2011.
[11]Z.Zhang,S.Xu and H.Shen,Reduced-order observer-based output-feedback tracking control of nonlinear systems with state delay and disturbance,International Journal of Robust and Nonlinear Control,20:1723–1738,2010.
[12]X.Zhang and Y.Lin,A new approach to global asymptotic tracking for a class of low-triangular nonlinear systems via output feedback,IEEE Trans.on Automatic Control,57(12):3192–3196,2012.
[13]J.Zhou,Decentralized adaptive control for large-scale timedelay systems with dead-zone input,Automatica,44:1790–1799,2008.
[14]Q.Zhou,P.Shi,S.Xu and H.Li,Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach,IEEE Trans.on Fuzzy Systems,21(2):301–313,2013.
1Throughout the paper,we use xdto denote the delay term of x,that is,xd=x(t-d)