Adaptive State Feedback Control for a Class of Stochastic Nonlinear Systems with Unknown Backlash-Like Hysteresis

Author

Fan, Huijin ; Xie, Wenxiang

Author_Institution

Huazhong Univ. of Sci. & Technol., Huazhong

fYear

2007

fDate

23-25 May 2007

Firstpage

2797

Lastpage

2801

Abstract

This paper studies a class of stochastic nonlinear systems with unknown backlash-like hysteresis nonlinearities, which is in strict-feedback form and the hysteresis is modeled by a differential equation with the presence of bounded external disturbances. By employing the stochastic Lyapunov-like theorem and the backstepping design technique, an adaptive state feedback control is developed. The output of the closed-loop system is proven to follow the desired trajectory asymptotically in probability.

Keywords

Lyapunov methods; adaptive control; closed loop systems; control system synthesis; differential equations; hysteresis; nonlinear systems; state feedback; stochastic systems; adaptive state feedback control; backlash-like hysteresis; backstepping design technique; bounded external disturbances; closed-loop system; differential equation; stochastic Lyapunov-like theorem; stochastic nonlinear systems; Adaptive control; Control systems; Differential equations; Hysteresis; Nonlinear control systems; Nonlinear systems; Programmable control; State feedback; Stochastic processes; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics and Applications, 2007. ICIEA 2007. 2nd IEEE Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4244-0737-8

Electronic_ISBN

978-1-4244-0737-8

Type

conf

DOI

10.1109/ICIEA.2007.4318921

Filename

4318921