Robust finite-time control for continuous-time nonlinear systems based on T-S fuzzy model

Author

Lei Zhang ; Dedong Yang ; Kun Zhang

Author_Institution

Sch. of Control Sci. & Eng., Hebei Univ. of Technol., Tianjin, China

fYear

2013

fDate

25-27 May 2013

Firstpage

2225

Lastpage

2229

Abstract

This In this paper, the robust finite-time control problem of continuous-time nonlinear systems is considered based on T-S fuzzy model. The definition on finite-time stability (FTS) for continuous-time nonlinear systems is provided and the state feedback controller is also designed. Two types of uncertainties which perturb the plant are considered. Sufficient conditions are derived in terms of linear matrix inequities (LMIs), which guarantee FTS for the whole closed-loop controlled system. A numerical example shows the validity of the proposed scheme.

Keywords

closed loop systems; continuous time systems; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; perturbation techniques; robust control; state feedback; uncertain systems; FTS; LMI; T-S fuzzy model; closed-loop controlled system; continuous-time nonlinear systems; finite-time stability; linear matrix inequities; plant perturbation; robust finite-time control problem; state feedback controller design; Asymptotic stability; Bismuth; Linear matrix inequalities; Nonlinear systems; Numerical stability; Stability analysis; Symmetric matrices; Finite-time stability; Fuzzy control; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561305

Filename

6561305