Disturbance observer-based control design for a class of nonlinear stochastic systems with periodically intermittent measurement
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- 英文论文题名：Disturbance observer-based control design for a class of nonlinear stochastic systems with periodically intermittent measurement
- 论文作者：Kui Ding ; Wu-Hua Chen ; Xiaomei Lu ; Zhen Ruan
- 英文论文作者：Kui Ding ; Wu-Hua Chen ; Xiaomei Lu ; Zhen Ruan ; College of Mathematics and Information Science ; Guangxi University
- 年：2017
- 作者机构：College of Mathematics and Information Science,Guangxi University;
- 英文论文关键词：Disturbance observer-based control ; Periodically intermittent measurement ; Piecewise time-dependent Lyapunov function ; Linear matrix inequalities(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（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 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：410k
- 原文格式：D
- 会议级别：全国
摘要
This paper treats the control problem of a class of nonlinear stochastic systems with unknown external disturbance and periodically intermittent measurement. It is assumed that the external disturbance is generated by an exogenous system with unknown initial condition, and the state information ia available only on some disconnected time intervals. A composite control method using the intermittent state information is proposed, which consists of an intermittent feedback control law and a disturbance observer. The stability property of the closed-loop error system is analyzed using a piecewise-time-dependent Lyapunov function approach. Then, a sufficient condition for the existence of the desired composite controllers is derived in terms of matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed result.
This paper treats the control problem of a class of nonlinear stochastic systems with unknown external disturbance and periodically intermittent measurement. It is assumed that the external disturbance is generated by an exogenous system with unknown initial condition, and the state information ia available only on some disconnected time intervals. A composite control method using the intermittent state information is proposed, which consists of an intermittent feedback control law and a disturbance observer. The stability property of the closed-loop error system is analyzed using a piecewise-time-dependent Lyapunov function approach. Then, a sufficient condition for the existence of the desired composite controllers is derived in terms of matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed result.
This paper treats the control problem of a class of nonlinear stochastic systems with unknown external disturbance and periodically intermittent measurement. It is assumed that the external disturbance is generated by an exogenous system with unknown initial condition, and the state information ia available only on some disconnected time intervals. A composite control method using the intermittent state information is proposed, which consists of an intermittent feedback control law and a disturbance observer. The stability property of the closed-loop error system is analyzed using a piecewise-time-dependent Lyapunov function approach. Then, a sufficient condition for the existence of the desired composite controllers is derived in terms of matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed result.
引文
[1]W.H.Chen,Disturbance observer based control for nonliear systems,IEEE/ASME Transactions on Mechatronics,9(4):706-710,2004.
[2]L.Guo,W.H.Chen,Distanbance attenuation and rejection for systems with nonlinearity via DOBC approach,International Journal of Robust&Nonliear Control,15:109-125,2005.
[3]C.Liu,H.Peng,Disturbance observer based tracking control,ASME Journal of Dynamic Systems,Control and Measurement,122(2):332-325,2000.
[4]X.J.Wei,L.Guo,Composite disturbance-observer-based control and H infinite control for complex continuous models,International Journal of Robust&Nolinear Control,20(1):106-118,2010.
[5]J.Back,H.Shimb,Adding robustness to nominal outputfeedback controllers for uncertain nonlinear systems:a nonlinear version of disturbance observer,Automatica,44:2528-2537,2008.
[6]Z.Yang,H.Tsubakihara,A novel robust nonliear motion controller with disturbance observer,IEEE Transactions on Control Systems Technology,16(1):137-147,2008.
[7]P.Caines,K.Nassiri-Toussi,On the adaptive stabilization and ergodic behaviour of stochastic systems with jump-Markov parameters via nonlinear fltering,IEEE Conference on Decision and Control,2(28):1784-1785,1991.
[8]Z.Wu,J.Yang,and P.Shi,Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching,IEEE Transactions on Automatic Control,55(9):2135-2141,2010.
[9]J.Zhang,P.Shi,and W.Lin,Extended sliding mode observer based control for Markovian jump linear systems with disturbances,Automatica,70:140-147,2016.
[10]Y.Kao,W.Li,and C.Wang,Nonfragile observer-based H∞sliding mode control for I t?o stochastic systems with Markovian switching,International Journal of Robust&Nonlinear Control,24(15):2035-2047,2013.
[11]X.J.Wei,Z.Guo,M.Tang,and X.Liu,Disturbance observerbased anti-disturbance control for a class of stochastic systems,in Proceedings of the 34th Chinese Control Conference,2015:2860-2864.
[12]X.J.Wei,Z.Wu,and H.Karimi,Disturbance observer-based Attenuation control for a class of stochastic systems,Automatica,63:21-25,2016.
[13]Y.Liu,Y.Zhang,and X.Yao,Composite Antidisturbance Control for a class of Nonlinear Stochastic Systems via Disturbance Observer,Mathematical Problem in Engneering,2013:1-7,2013.
[14]N.Li,J.Cao,Periodically Intermittent control on robust exponential synchronization for switched interval coupled networks,Neurocomputing,131:52-58,2014.
[15]W.-H.Chen,J.Zhong,Z.Jiang,and X.Lu,Periodically intermittent stabilization of delayed neural networks based on piecewise Layunov functions/functionals,Circuits Syst Signal Process,33(12):3757-3782,2014.
[16]W.-H.Chen,J.Zhong,and W.X.Zheng,Delay-independent stabilization of a class of time-delay systems via periodically intermittent control,Automatica,71:89-97,2016.
[17]Y.Liang,X.Wang,Synchronization in complex networks with non-delay and delay couplings via intermittent control with two switched periods,Physica A,395:434-444,2014.
[18]W.-H Chen,L.Liu,and X.Lu,Intermittent synchronization of reaction-diffusion neural networks with mixed delays via Razumikhin technique,Nonlinear Dynamics,87(1):535-551,2017.
[19]L.Liu,W.-H Chen,and X.Lu,Aperiodically intermittent H∞synchronization for a alass of nonlinear system,Guangxi Sciences,23(4):366-373,2016.
[20]W.-H.Chen,J.Zhong,and Z.Jiang,Stabilization of a class of nonlinear systems by using periodic intermittent control,Journal of Guangxi University(Natural Science Edition),39(2):378-386,2014.
[21]S.Luo,W.-H Chen,and X.Lu,Periodically intermittent sampled-data control of a class of diffusion neural networks,in Proceedings of the 34th Chinese Control Conference,2015:1407-1412.
[2]L.Guo,W.H.Chen,Distanbance attenuation and rejection for systems with nonlinearity via DOBC approach,International Journal of Robust&Nonliear Control,15:109-125,2005.
[3]C.Liu,H.Peng,Disturbance observer based tracking control,ASME Journal of Dynamic Systems,Control and Measurement,122(2):332-325,2000.
[4]X.J.Wei,L.Guo,Composite disturbance-observer-based control and H infinite control for complex continuous models,International Journal of Robust&Nolinear Control,20(1):106-118,2010.
[5]J.Back,H.Shimb,Adding robustness to nominal outputfeedback controllers for uncertain nonlinear systems:a nonlinear version of disturbance observer,Automatica,44:2528-2537,2008.
[6]Z.Yang,H.Tsubakihara,A novel robust nonliear motion controller with disturbance observer,IEEE Transactions on Control Systems Technology,16(1):137-147,2008.
[7]P.Caines,K.Nassiri-Toussi,On the adaptive stabilization and ergodic behaviour of stochastic systems with jump-Markov parameters via nonlinear fltering,IEEE Conference on Decision and Control,2(28):1784-1785,1991.
[8]Z.Wu,J.Yang,and P.Shi,Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching,IEEE Transactions on Automatic Control,55(9):2135-2141,2010.
[9]J.Zhang,P.Shi,and W.Lin,Extended sliding mode observer based control for Markovian jump linear systems with disturbances,Automatica,70:140-147,2016.
[10]Y.Kao,W.Li,and C.Wang,Nonfragile observer-based H∞sliding mode control for I t?o stochastic systems with Markovian switching,International Journal of Robust&Nonlinear Control,24(15):2035-2047,2013.
[11]X.J.Wei,Z.Guo,M.Tang,and X.Liu,Disturbance observerbased anti-disturbance control for a class of stochastic systems,in Proceedings of the 34th Chinese Control Conference,2015:2860-2864.
[12]X.J.Wei,Z.Wu,and H.Karimi,Disturbance observer-based Attenuation control for a class of stochastic systems,Automatica,63:21-25,2016.
[13]Y.Liu,Y.Zhang,and X.Yao,Composite Antidisturbance Control for a class of Nonlinear Stochastic Systems via Disturbance Observer,Mathematical Problem in Engneering,2013:1-7,2013.
[14]N.Li,J.Cao,Periodically Intermittent control on robust exponential synchronization for switched interval coupled networks,Neurocomputing,131:52-58,2014.
[15]W.-H.Chen,J.Zhong,Z.Jiang,and X.Lu,Periodically intermittent stabilization of delayed neural networks based on piecewise Layunov functions/functionals,Circuits Syst Signal Process,33(12):3757-3782,2014.
[16]W.-H.Chen,J.Zhong,and W.X.Zheng,Delay-independent stabilization of a class of time-delay systems via periodically intermittent control,Automatica,71:89-97,2016.
[17]Y.Liang,X.Wang,Synchronization in complex networks with non-delay and delay couplings via intermittent control with two switched periods,Physica A,395:434-444,2014.
[18]W.-H Chen,L.Liu,and X.Lu,Intermittent synchronization of reaction-diffusion neural networks with mixed delays via Razumikhin technique,Nonlinear Dynamics,87(1):535-551,2017.
[19]L.Liu,W.-H Chen,and X.Lu,Aperiodically intermittent H∞synchronization for a alass of nonlinear system,Guangxi Sciences,23(4):366-373,2016.
[20]W.-H.Chen,J.Zhong,and Z.Jiang,Stabilization of a class of nonlinear systems by using periodic intermittent control,Journal of Guangxi University(Natural Science Edition),39(2):378-386,2014.
[21]S.Luo,W.-H Chen,and X.Lu,Periodically intermittent sampled-data control of a class of diffusion neural networks,in Proceedings of the 34th Chinese Control Conference,2015:1407-1412.