Decentralized stabilization for a class of stochastic interconnected systems with unknown virtual control coefficients

In this paper, the decentralized adaptive stabilization problem is investigated for a class of stochastic nonlinear interconnected systems with unknown virtual control coefficients under bounded disturbance. By utilizing the backstepping design technique and appropriately choosing Lyapunov functions and designed parameters, a state-feedback backstepping controller is designed to guarantee the boundedness in probability of the closed-loop system.

[1]  S. Ge,et al.  Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[2]  Ping Zhao,et al.  Adaptive Stabilization Control of a Class of Large-scale Stochastic Nonlinear Systems with Time-delays and Unknown Virtual Control Coefficients: Adaptive Stabilization Control of a Class of Large-scale Stochastic Nonlinear Systems with Time-delays and Unknown Virtual Control Coefficients , 2009 .

[3]  Xudong Ye,et al.  Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions , 1999, Autom..

[4]  S.S. Ge,et al.  Adaptive state feedback control for a class of stochastic nonlinear systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[5]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[6]  Hai-Bo Ji,et al.  Adaptive output-feedback tracking of stochastic nonlinear systems , 2006, IEEE Transactions on Automatic Control.

[7]  Petros A. Ioannou.  Decentralized adaptive control of interconnected systems , 1986 .

[8]  Ye Xudong.  Brief Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions , 1999 .

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

[10]  Zhao Ping,et al.  Adaptive Stabilization Control of a Class of Large-scale Stochastic Nonlinear Systems with Time-delays and Unknown Virtual Control Coefficients , 2008 .

[11]  M. Krstić,et al.  Stochastic nonlinear stabilization—I: a backstepping design , 1997 .

[12]  T. Basar,et al.  Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[13]  Changyun Wen.  Indirect robust totally decentralized adaptive control of continuous-time interconnected systems , 1995 .

[14]  Jing Wang,et al.  Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients , 2003, IEEE Trans. Autom. Control..

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

[16]  David J. Hill,et al.  Global boundedness of discrete-time adaptive control just using estimator projection , 1992, Autom..

[17]  T. Başar,et al.  Adaptive Controller Design for Tracking and Disturbance Attenuation in Parametric-Strict-Feedback Nonlinear Systems , 1996 .

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