Robust Control with Prescribed Attenuation Level for Nonlinear Time-delay Systems

Author

Wei, Xinjiang ; Zhang, Huifeng

Author_Institution

Dept. of Math. & Inf., Yantai Normal Coll.

Volume

1

fYear

0

fDate

0-0 0

Firstpage

3772

Lastpage

3776

Abstract

The problem of robust stabilization for nonlinear time-delay system based on fuzzy T-S model is developed. The systems under consideration include time-varying unknown but bounded time-delay in state. Firstly, by applying the Razumikhin theory and Lyapunov theory, a criterion of robust stability with prescribed attenuation for nonlinear time-delay system is derived. Secondly, the sufficient condition for the existence of memoryless state feedback controller with definite attenuation and the method of designing controller are derived. The condition is further equivalent to the solvability of certain linear matrix inequality (LMI)

Keywords

Lyapunov methods; control system synthesis; delay systems; fuzzy control; linear matrix inequalities; nonlinear control systems; robust control; state feedback; time-varying systems; Lyapunov theory; Razumikhin theory; attenuation level; bounded time-delay; controller design; fuzzy T-S control; linear matrix inequality; memoryless state feedback control; nonlinear time-delay systems; robust control; robust stability; sufficient condition; time-varying system; Attenuation; Design methodology; Fuzzy systems; Linear matrix inequalities; Robust control; Robust stability; Robustness; State feedback; Sufficient conditions; Time varying systems; Delay-dependent; attenuation; fuzzy T-S control; robust stabilization; time-delay systems;

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.2006.1713076

Filename

1713076