Control design method for time-delay linear differential inclusion systems

Author

Cai Xiushan ; Xu Shengjie ; Wang Xiaodong ; Lv Ganyun

Author_Institution

Coll. of Math., Phys., & Inf. Eng., Zhejiang Normal Univ., Jinhua, China

fYear

2011

fDate

22-24 July 2011

Firstpage

555

Lastpage

560

Abstract

This article deals with saturated control design for time-delay linear differential inclusion systems subject to disturbances. Convex hull quadratic Lyapunov functions are used for constructing Lyapunov-Razumikhin functions. A saturated control law is designed to stabilize time-delay linear differential inclusion systems. By the state feedbacks, disturbance rejection with minimal reachable set is achieved. Finally, the effectiveness of the proposed design technique is illustrated by a simulation example.

Keywords

Lyapunov methods; control system synthesis; delays; nonlinear control systems; stability; state feedback; Lyapunov-Razumikhin function; control design method; convex hull quadratic Lyapunov function; disturbance rejection; saturated control design; state feedback; time-delay linear differential inclusion system; Asymptotic stability; Control design; Delay; Lyapunov methods; Stability analysis; State feedback; Trajectory; Disturbance Rejection; Linear Differential Inclusion; Lyapunov-Razumikhin Functions; Saturated Control; Time-Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001032