Dynamic output-feedback control for sampled-data system with saturation constraint via discontinuous Lyapunov functional approach
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- 英文论文题名：Dynamic output-feedback control for sampled-data system with saturation constraint via discontinuous Lyapunov functional approach
- 论文作者：Wenlin Zou ; Jie Cao ; Liuwen Li ; Shumin Fei ; Chun Zhang
- 英文论文作者：Wenlin Zou ; Jie Cao ; Liuwen Li ; Shumin Fei ; Chun Zhang ; School of Computer Science and Engineering ; Nanjing University of Science and Technology ; School of Information Engineering ; Nanjing Xiaozhuang University ; Key Laboratory of Measurement and Control of CSE (Ministry of Education) ; School of Automation ; Southeast University ; School of Computer Science and Technology ; Nanjing University of Posts and Telecommunications
- 年：2017
- 作者机构：School of Computer Science and Engineering,Nanjing University of Science and Technology;School of Information Engineering,Nanjing Xiaozhuang University;Key Laboratory of Measurement and Control of CSE (Ministry of Education),School of Automation,Southeast University;School of Computer Science and Technology,Nanjing University of Posts and Telecommunications;
- 英文论文关键词：Discontinuous Lyapunov function ; Dynamic output-feedback control ; Sampled-data control systems ; Sensor and actuator saturations
- 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：TP273
- 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：6
- 文件大小：174k
- 原文格式：D
- 会议级别：全国
摘要
This paper is concerned with the stability of sampled-data system with sensor and actuator saturations using discontinuous Lyapunov functional approach. The system measurements are sampled and then transmitted to dynamic output-feedback controller, and a closed-loop system is modeled as an interval time-varying delay control system with nonlinear items. Through constructing discontinuous Lyapunov function and employing linear matrix inequality approach, sufficient conditions for asymptotical stability are derived; further, under the above stability condition, a dynamic output-feedback controller is designed. Lastly, a numerical example is cited to prove the practical utility of the proposed method.
This paper is concerned with the stability of sampled-data system with sensor and actuator saturations using discontinuous Lyapunov functional approach. The system measurements are sampled and then transmitted to dynamic output-feedback controller, and a closed-loop system is modeled as an interval time-varying delay control system with nonlinear items. Through constructing discontinuous Lyapunov function and employing linear matrix inequality approach, sufficient conditions for asymptotical stability are derived; further, under the above stability condition, a dynamic output-feedback controller is designed. Lastly, a numerical example is cited to prove the practical utility of the proposed method.
This paper is concerned with the stability of sampled-data system with sensor and actuator saturations using discontinuous Lyapunov functional approach. The system measurements are sampled and then transmitted to dynamic output-feedback controller, and a closed-loop system is modeled as an interval time-varying delay control system with nonlinear items. Through constructing discontinuous Lyapunov function and employing linear matrix inequality approach, sufficient conditions for asymptotical stability are derived; further, under the above stability condition, a dynamic output-feedback controller is designed. Lastly, a numerical example is cited to prove the practical utility of the proposed method.
引文
[1]W.Zhang,M.Branicky,S.Phillips,Stability of networked control systems,IEEE Control System Magazine,21(1):84-99,2001.
[2]E.Fridman,A refined input delay approach to sampled-data control,Automatica,46(2):421-427,2010.
[3]H.Wang,Y.Ying,R.Lu,A.Xue,Network-based H-infinity control for singular systems with event-triggered sampling scheme,Information Sciences,329(1):540-551,2016.
[4]D.Yue,E.Tian,Q.Han,A delay system method for designing event-triggered controllers of networked control systems,IEEE Transactions on Automatic Control,58(2):475-481,2013.
[5]F.Yang,Y.Li,Set-membership filtering for systems with sensor saturation,Automatica,45(8):1896-1920,2009.
[6]Z.Wang,B.Shen,X.Liu,H∞filtering with randomly occurring sensor saturations and missing measurements,Automatica,48(3):556-562,2012.
[7]Z.Wang,W.Daniel,H.Daniel,H.Gao,H∞finite-horizon control for a class of stochastic nonlinear time-varying systems subject to sensor and actuator saturations,IEEE Transactions on Automatic Control,55(7):1716-1722,2010.
[8]Y.Wei,M.Liu,P.Shi,H∞filtering for nonlinear stochastic systems with sensor saturation,quantization and random packet losses,Signal Processing,92(6):1387-1396,2012.
[9]T.Shi,H.Su,J.Chu,Reliable H∞filtering for linear systems with sensor saturation,Journal of Control Theory and Applications,11(1):80-85,2013.
[10]Z.Gu,S.Fei,Y.Zhao,E.Tian,Robust control of automotive active seat-suspension system subject to actuator saturation,Journal of Dynamic Systems,Measurement,and Control,136(4):041022(1)-041022(7),2014.
[11]G.Garcia,S.Tarbouriech,M.da Silva,Dynamic output controller design for linear systems with actuator and sensor saturation,IEEE American Control Conference,5834-5839,2007.
[12]C.Peng,M.Fei,An improved result on the stability of uncertain TCS fuzzy systems with interval time-varying delay,Fuzzy Sets and Systems,212(1):97-109,2013.
[13]L.Sun,Y.Wang,G.Feng,Control design for a class of affine nonlinear descriptor systems with actuator saturation,IEEE Transactions on Automatic Control,60(8):2195-2200,2015.
[14]J.Xiong,L.James,Stabilization of networked control systems with a logic ZOH,IEEE Transactions on Automatic Control,54(2):358-363,2009.
[15]K.Liu,E.Fridman,Wirtingers inequality and Lyapunovbased sampled-data stabilization,Automatica,48(1):102-108,2012.
[16]X.Liu,W.Yu,J.Cao,S.Chen,Discontinuous Lyapunov approach to state estimation and filtering of jumped systems with sampled-data,Neural Networks,68(1):12-22,2015.
[17]K.Liu,V.Suplin,E.Fridman,Stability of linear systems with general sawtooth delay.IMA Journal of Mathematical Control and Information,27(4):419-436,2010.
[18]S.Lakshmanan,J.Park,R.Rakkiyappan,H.Jung,State estimator for neural networks with sampled data using discontinuous Lyapunov functional approach,Nonlinear Dynamics,73(1-2):509-520,2013.
[19]Z.Chen,K.Shi,S.Zhong,New synchronization criteria for complex delayed dynamical networks with sampled-data feedback contro,ISA Transactions,63:154-169,2016.
[20]E.Tian,W.Wong,D.Yue,T Yang,H∞Filtering for Discrete-Time Switched Systems with Known Sojourn Probabilities,IEEE Transactions on Automatic Control,60(9):2446-2451,2015.
[21]E.Tian,D.Yue,Decentralized control of network-based interconnected systems:A state-dependent triggering method,International Journal of Robust and Nonlinear control,25(8):1126-1144,2015.
[22]C.Peng,Q.Han,On designing a novel self-triggered sampling scheme for networked control systems with networkinduced delays and data dropouts,IEEE Transactions on Industrial Electronics,63(2):1239-1248,2016.
[23]C.Peng,Y.Song,X.Xie,M.Zhao,M.Fei,An eventtriggered output tracking control for wireless networked control systems with communication delays and data dropouts,IET Control Theory and Applications,10(17):2195-2203,2016.
[2]E.Fridman,A refined input delay approach to sampled-data control,Automatica,46(2):421-427,2010.
[3]H.Wang,Y.Ying,R.Lu,A.Xue,Network-based H-infinity control for singular systems with event-triggered sampling scheme,Information Sciences,329(1):540-551,2016.
[4]D.Yue,E.Tian,Q.Han,A delay system method for designing event-triggered controllers of networked control systems,IEEE Transactions on Automatic Control,58(2):475-481,2013.
[5]F.Yang,Y.Li,Set-membership filtering for systems with sensor saturation,Automatica,45(8):1896-1920,2009.
[6]Z.Wang,B.Shen,X.Liu,H∞filtering with randomly occurring sensor saturations and missing measurements,Automatica,48(3):556-562,2012.
[7]Z.Wang,W.Daniel,H.Daniel,H.Gao,H∞finite-horizon control for a class of stochastic nonlinear time-varying systems subject to sensor and actuator saturations,IEEE Transactions on Automatic Control,55(7):1716-1722,2010.
[8]Y.Wei,M.Liu,P.Shi,H∞filtering for nonlinear stochastic systems with sensor saturation,quantization and random packet losses,Signal Processing,92(6):1387-1396,2012.
[9]T.Shi,H.Su,J.Chu,Reliable H∞filtering for linear systems with sensor saturation,Journal of Control Theory and Applications,11(1):80-85,2013.
[10]Z.Gu,S.Fei,Y.Zhao,E.Tian,Robust control of automotive active seat-suspension system subject to actuator saturation,Journal of Dynamic Systems,Measurement,and Control,136(4):041022(1)-041022(7),2014.
[11]G.Garcia,S.Tarbouriech,M.da Silva,Dynamic output controller design for linear systems with actuator and sensor saturation,IEEE American Control Conference,5834-5839,2007.
[12]C.Peng,M.Fei,An improved result on the stability of uncertain TCS fuzzy systems with interval time-varying delay,Fuzzy Sets and Systems,212(1):97-109,2013.
[13]L.Sun,Y.Wang,G.Feng,Control design for a class of affine nonlinear descriptor systems with actuator saturation,IEEE Transactions on Automatic Control,60(8):2195-2200,2015.
[14]J.Xiong,L.James,Stabilization of networked control systems with a logic ZOH,IEEE Transactions on Automatic Control,54(2):358-363,2009.
[15]K.Liu,E.Fridman,Wirtingers inequality and Lyapunovbased sampled-data stabilization,Automatica,48(1):102-108,2012.
[16]X.Liu,W.Yu,J.Cao,S.Chen,Discontinuous Lyapunov approach to state estimation and filtering of jumped systems with sampled-data,Neural Networks,68(1):12-22,2015.
[17]K.Liu,V.Suplin,E.Fridman,Stability of linear systems with general sawtooth delay.IMA Journal of Mathematical Control and Information,27(4):419-436,2010.
[18]S.Lakshmanan,J.Park,R.Rakkiyappan,H.Jung,State estimator for neural networks with sampled data using discontinuous Lyapunov functional approach,Nonlinear Dynamics,73(1-2):509-520,2013.
[19]Z.Chen,K.Shi,S.Zhong,New synchronization criteria for complex delayed dynamical networks with sampled-data feedback contro,ISA Transactions,63:154-169,2016.
[20]E.Tian,W.Wong,D.Yue,T Yang,H∞Filtering for Discrete-Time Switched Systems with Known Sojourn Probabilities,IEEE Transactions on Automatic Control,60(9):2446-2451,2015.
[21]E.Tian,D.Yue,Decentralized control of network-based interconnected systems:A state-dependent triggering method,International Journal of Robust and Nonlinear control,25(8):1126-1144,2015.
[22]C.Peng,Q.Han,On designing a novel self-triggered sampling scheme for networked control systems with networkinduced delays and data dropouts,IEEE Transactions on Industrial Electronics,63(2):1239-1248,2016.
[23]C.Peng,Y.Song,X.Xie,M.Zhao,M.Fei,An eventtriggered output tracking control for wireless networked control systems with communication delays and data dropouts,IET Control Theory and Applications,10(17):2195-2203,2016.
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