State Feedback Control for Stochastic Nonlinear Systems with Unknown Time Delay

Author

Chen, Weisheng ; Li, Junmin

Author_Institution

Dept. of Appl. Math., Xidian Univ., Xi´´an

Volume

1

fYear

0

fDate

0-0 0

Firstpage

848

Lastpage

852

Abstract

A state feedback stabilization scheme is proposed for a class of strict-feedback stochastic time-delay nonlinear systems. Under assumption that the nonlinear functions of system satisfy linear growth condition, a memoryless linear state feedback controller is designed based on back stepping technique and domination method. By constructing a quartic Lyapunov-Krasoviskii functional, the fourth-moment exponential stabilization of closed-loop system is proved. The simulation example is provided to illustrate the feasibility of the proposed scheme

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; delays; nonlinear control systems; state feedback; stochastic systems; back stepping technique; closed-loop system; domination method; fourth-moment exponential stabilization; memoryless linear state feedback controller; nonlinear functions; quartic Lyapunov-Krasoviskii functional; state feedback control; state feedback stabilization; strict-feedback stochastic time-delay nonlinear systems; unknown time delay; Automatic control; Backstepping; Control systems; Delay effects; Linear feedback control systems; Mathematics; Nonlinear control systems; Nonlinear systems; State feedback; Stochastic systems; Backstepping; State feedback; Stochastic nonlinear systems; Time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712463

Filename

1712463