Stabilization of a class of nonlinear time-delay systems in the presence of input saturation by output feedback control
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- 英文论文题名：Stabilization of a class of nonlinear time-delay systems in the presence of input saturation by output feedback control
- 论文作者：Jiali Ma ; Weifeng Xia
- 英文论文作者：Jiali Ma ; Weifeng Xia ; School of Automation ; Nanjing University of Science and Technology
- 年：2017
- 作者机构：School of Automation,Nanjing University of Science and Technology;
- 英文论文关键词：Nonlinear time-delay systems ; Output feedback ; Input saturation ; LMIs
- 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：269k
- 原文格式：D
- 会议级别：全国
摘要
This paper deals with the stabilization problem of a class of nonlinear time-delay systems with input saturation by output feedback control. The precise knowledge of the nonlinearities and the time delay need not to be known a priori. It is just required to satisfy linear growth condition. With the construction of linear observer, we give the design of the controller and prove the local stabilization of the closed-loop system with appropriate Lyapubov-Krasovskii functional. What's more, linear matrix inequalities are formulated to determine the estimation of the domain of the attraction. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
This paper deals with the stabilization problem of a class of nonlinear time-delay systems with input saturation by output feedback control. The precise knowledge of the nonlinearities and the time delay need not to be known a priori. It is just required to satisfy linear growth condition. With the construction of linear observer, we give the design of the controller and prove the local stabilization of the closed-loop system with appropriate Lyapubov-Krasovskii functional. What's more, linear matrix inequalities are formulated to determine the estimation of the domain of the attraction. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
This paper deals with the stabilization problem of a class of nonlinear time-delay systems with input saturation by output feedback control. The precise knowledge of the nonlinearities and the time delay need not to be known a priori. It is just required to satisfy linear growth condition. With the construction of linear observer, we give the design of the controller and prove the local stabilization of the closed-loop system with appropriate Lyapubov-Krasovskii functional. What's more, linear matrix inequalities are formulated to determine the estimation of the domain of the attraction. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
引文
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[11]Wen C,Zhou J,Liu Z,et al.Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance[J].IEEE Transactions on Automatic Control,2011,56(7):1672-1678.
[12]Gao Y F,Sun X M,Wen C,et al.Adaptive Tracking Control for a Class of Stochastic Uncertain Nonlinear Systems with Input Saturation[J].IEEE Transactions on Automatic Control,2016.
[13]Wen C,Zhou J,Liu Z,et al.Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance[J].IEEE Transactions on Automatic Control,2011,56(7):1672-1678.
[14]Tarbouriech S,Prieur C,Da Silva J M G.Stability analysis and stabilization of systems presenting nested saturations[J].IEEE Transactions on Automatic Control,2006,51(8):1364-1371.
[15]Ran M,Wang Q,Dong C.Stabilization of a class of nonlinear systems with actuator saturation via active disturbance rejection control[J].Automatica,2016,63:302-310.
[2]Zhou B,Duan G,Lin Z.A parametric Lyapunov equation approach to the design of low gain feedback[J].IEEE Transactions on Automatic Control,2008,53(6):1548-1554.
[3]Zhou B,Lin Z,Duan G R.Truncated predictor feedback for linear systems with long time-varying input delays[J].Automatica,2012,48(10):2387-2399.
[4]Wei Y,Zheng W X,Xu S.Robust output feedback control of uncertain time-delay systems with actuator saturation and disturbances[J].Journal of the Franklin Institute,2015,352(5):2229-2248.
[5]Wei Y,Zheng W X,Li Z,et al.Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator[J].International Journal of Systems Science,2015,46(7):1288-1298.
[6]Wang H,Chen B,Liu X,et al.Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints[J].IEEE transactions on cybernetics,2013,43(6):2093-2104.
[7]Wang H,Chen B,Liu X,et al.Adaptive neural tracking control for stochastic nonlinear strict-feedback systems with unknown input saturation[J].Information Sciences,2014,269:300-315.
[8]Sui S,Tong S,Li Y.Adaptive fuzzy backstepping output feedback tracking control of MIMO stochastic pure-feedback nonlinear systems with input saturation[J].Fuzzy Sets and Systems,2014,254:26-46.
[9]Sui S,Tong S,Li Y.Observer-based fuzzy adaptive prescribed performance tracking control for nonlinear stochastic systems with input saturation[J].Neurocomputing,2015,158:100-108.
[10]Chen W,Jiao L,Li J,et al.Adaptive NN backstepping outputfeedback control for stochastic nonlinear strict-feedback systems with time-varying delays[J].IEEE Transactions on Systems,Man,and Cybernetics,Part B(Cybernetics),2010,40(3):939-950.
[11]Wen C,Zhou J,Liu Z,et al.Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance[J].IEEE Transactions on Automatic Control,2011,56(7):1672-1678.
[12]Gao Y F,Sun X M,Wen C,et al.Adaptive Tracking Control for a Class of Stochastic Uncertain Nonlinear Systems with Input Saturation[J].IEEE Transactions on Automatic Control,2016.
[13]Wen C,Zhou J,Liu Z,et al.Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance[J].IEEE Transactions on Automatic Control,2011,56(7):1672-1678.
[14]Tarbouriech S,Prieur C,Da Silva J M G.Stability analysis and stabilization of systems presenting nested saturations[J].IEEE Transactions on Automatic Control,2006,51(8):1364-1371.
[15]Ran M,Wang Q,Dong C.Stabilization of a class of nonlinear systems with actuator saturation via active disturbance rejection control[J].Automatica,2016,63:302-310.