Decentralized adaptive output‐feedback control for stochastic interconnected systems with stochastic unmodeled dynamic interactions

In this paper, we consider the problem of decentralized adaptive output-feedback regulation for stochastic nonlinear interconnected systems with unknown virtual control coefficients, stochastic unmodeled dynamic interactions. The main contributions of the paper are as follows: (1) This paper presents the first result on decentralized output-feedback control for stochastic nonlinear systems with unknown virtual control coefficients; (2) For stochastic interconnected systems with stochastic integral input-to-state stable unmodeled dynamics, and more general nonlinear uncertain interconnections which depend upon the outputs of subsystems and the stochastic unmodeled dynamics, a decentralized output-feedback controller is designed to drive the outputs and states to the origin almost surely. Copyright © 2011 John Wiley & Sons, Ltd.

[1]  Miroslav Krstic,et al.  Output-feedback stochastic nonlinear stabilization , 1999, IEEE Trans. Autom. Control..

[2]  Ji-Feng Zhang,et al.  Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems , 2008, Autom..

[3]  Lihua Xie,et al.  Decentralized stabilization of a class of interconnected stochastic nonlinear systems , 2000, IEEE Trans. Autom. Control..

[4]  Yungang Liu,et al.  Output feedback stabilization for stochastic nonlinear systems in observer canonical form with stable zero-dynamics , 2007, Science in China Series : Information Sciences.

[5]  T. Başar,et al.  Stochastic stability of singularly perturbed nonlinear systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[6]  Zhong-Ping Jiang,et al.  New results in decentralized adaptive non-linear stabilization using output feedback , 2001 .

[7]  Xin Yu,et al.  Output Feedback Regulation of Stochastic Nonlinear Systems With Stochastic iISS Inverse Dynamics , 2010, IEEE Transactions on Automatic Control.

[8]  Xin Yu,et al.  Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics , 2010, Int. J. Control.

[9]  Zhong-Ping Jiang,et al.  Decentralized nonlinear output-feedback stabilization with disturbance attenuation , 2001, IEEE Trans. Autom. Control..

[10]  Jifeng Zhang,et al.  Output‐feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states , 2008 .

[11]  Yusheng Liu,et al.  Decentralized robust adaptive control of nonlinear systems with unmodeled dynamics , 2002, IEEE Trans. Autom. Control..

[12]  Xue-Jun Xie,et al.  Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function , 2006 .

[13]  Zhong-Ping Jiang,et al.  Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback , 2000, IEEE Trans. Autom. Control..

[14]  Xudong Ye,et al.  Decentralized adaptive output regulation for a class of large-scale nonlinear systems , 2003, IEEE Trans. Autom. Control..

[15]  S. Jain,et al.  Decentralized adaptive output feedback design for large-scale nonlinear systems , 1997, IEEE Trans. Autom. Control..

[16]  Ji-Feng Zhang,et al.  Minimal-order observer and output-feedback stabilization control design of stochastic nonlinear systems , 2004 .

[17]  Ji-Feng Zhang,et al.  Practical Output-Feedback Risk-Sensitive Control for Stochastic Nonlinear Systems with Stable Zero-Dynamics , 2006, SIAM J. Control. Optim..

[18]  Liang Liu,et al.  Decentralized adaptive stabilization for interconnected systems with dynamic input-output and nonlinear interactions , 2010, Autom..

[19]  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.

[20]  Zhong-Ping Jiang,et al.  Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems , 2007, Autom..

[21]  Jing Zhou,et al.  Decentralized Backstepping Adaptive Output Tracking of Interconnected Nonlinear Systems , 2008, IEEE Transactions on Automatic Control.

[22]  Tamer Basar,et al.  Decentralized risk-sensitive controller design for strict-feedback systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[23]  Xue-Jun Xie,et al.  Adaptive backstepping controller design using stochastic small-gain theorem , 2007, Autom..

[24]  Wei Wang,et al.  Decentralized adaptive backstepping stabilization of interconnected systems with dynamic input and output interactions , 2009, Autom..

[25]  Xin Yu,et al.  Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics , 2010, Autom..

[26]  T. Başar,et al.  Backstepping Controller Design for Nonlinear Stochastic Systems Under a Risk-Sensitive Cost Criterion , 1999 .