Adaptive robust control for uncertain nonlinear systems with time-varying delay

Author

Shi, Shengli ; Fang, Yiming ; Li, Jianxiong

Author_Institution

Key Lab. of Ind. Comput. Control Eng. of Hebei Province, Yanshan Univ., Qinhuangdao, China

fYear

2010

fDate

9-11 June 2010

Firstpage

1290

Lastpage

1293

Abstract

The problem of adaptive robust control for uncertain nonlinear systems with time-varying delay is considered in this paper. The upper bound of the uncertainty is assumed to be nonlinear functions with unknown coefficients. By using adaptive control method, a class of adaptive robust state feedback controller is proposed. Based on Lyapunov-Krasovskii method and Lyapunov stability theory, it is shown that the controller designed can render the uniform asymptotic stability of the system. Finally, a numerical example is given to show the controller is valid.

Keywords

Lyapunov methods; adaptive control; asymptotic stability; delays; nonlinear functions; nonlinear systems; robust control; state feedback; time-varying systems; uncertain systems; Lyapunov stability theory; Lyapunov-Krasovskii method; adaptive robust control; asymptotic stability; nonlinear functions; state feedback controller; time-varying delay; uncertain nonlinear systems; Adaptive control; Delay systems; Lyapunov method; Nonlinear systems; Programmable control; Robust control; State feedback; Time varying systems; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2010 8th IEEE International Conference on

Conference_Location

Xiamen

ISSN

1948-3449

Print_ISBN

978-1-4244-5195-1

Electronic_ISBN

1948-3449

Type

conf

DOI

10.1109/ICCA.2010.5524359

Filename

5524359