Output feedback control for stochastic nonlinear time delay systems using dynamic gain technique

Abstract This paper investigates the output feedback control for a class of stochastic nonlinear time delay systems based on dynamic gain technique. The nonlinear terms of the stochastic system satisfy linear growth condition on unmeasured state variables with the output dependent incremental rate, which makes the studied time delay stochastic system more general than the exiting results. Firstly, the full order dynamic gain observer is constructed. Then, the linear-like controller is designed without using recursive design method. Next, the stability analysis is given and a useful corollary is obtained. Finally, a simulation is given to illustrate the effectiveness of the proposed method.

[1]  Liang Liu,et al.  Further results on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay , 2012, Autom..

[2]  X. Mao,et al.  A note on the LaSalle-type theorems for stochastic differential delay equations , 2002 .

[3]  Yan Lin,et al.  Adaptive Control of Nonlinear Time-Delay Systems With Application to a Two-Stage Chemical Reactor , 2015, IEEE Transactions on Automatic Control.

[4]  Xin-Ping Guan,et al.  Output Feedback Stabilization for Time-Delay Nonlinear Interconnected Systems Using Neural Networks , 2008, IEEE Transactions on Neural Networks.

[5]  Shengyuan Xu,et al.  Decentralised adaptive output feedback stabilisation for stochastic time-delay systems via LaSalle-Yoshizawa-type theorem , 2016, Int. J. Control.

[6]  Xiufeng Miao,et al.  Adaptive observer-based control for uncertain nonlinear stochastic systems with time-delay , 2016, J. Frankl. Inst..

[7]  Magdi S. Mahmoud,et al.  Networked feedback control for nonlinear systems with random varying delays , 2014, J. Frankl. Inst..

[8]  Weihai Zhang,et al.  Global output tracking control for high-order stochastic nonlinear systems with SISS inverse dynamics and time-varying delays , 2016, J. Frankl. Inst..

[9]  Zhong-Ping Jiang,et al.  Linear output feedback with dynamic high gain for nonlinear systems , 2004, Syst. Control. Lett..

[10]  Liang Liu,et al.  State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay , 2013, Autom..

[11]  Huaicheng Yan,et al.  Improved Results on Asymptotic Stabilization for Stochastic Nonlinear Time-Delay Systems With Application to a Chemical Reactor System , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[12]  Liang Liu,et al.  A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay , 2013, IEEE Transactions on Automatic Control.

[13]  Liang Liu,et al.  Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay , 2011, Autom..

[14]  Chenghui Zhang,et al.  Global stabilization of uncertain stochastic nonlinear time‐delay systems by output feedback , 2008 .

[15]  Gang Feng,et al.  Robust controller design of a class of nonlinear time delay systems via backstepping method , 2008, Autom..

[16]  Kemei Zhang,et al.  Output feedback stabilisation of stochastic nonlinear time-delay systems with unknown output function , 2017, Int. J. Syst. Sci..

[17]  Shuzhi Sam Ge,et al.  Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays , 2008, Int. J. Control.

[18]  Songjiao Shi,et al.  Output feedback stabilization for a class of stochastic time-delay nonlinear systems , 2003, IEEE Trans. Autom. Control..