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

Author

Zhang, Lei ; Gao, Hui-Juan ; Yang, Dedong ; Zhang, Kun

Author_Institution

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

fYear

2012

fDate

23-25 May 2012

Firstpage

3820

Lastpage

3825

Abstract

In this paper, the non-fragile 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 gains of control 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; stability; state feedback; FTS; LMI; T-S fuzzy model; closed-loop controlled system; continuous-time nonlinear systems; finite-time stability; linear matrix inequities; nonfragile finite-time control; state feedback controller; Asymptotic stability; Control systems; 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), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244613

Filename

6244613