Non-fragile fuzzy control design for nonlinear time-delay systems

Author

Makki, Behrooz ; Makki, Behrooz ; Karimi, Hamid Reza

Author_Institution

Univ. of Bremen, Bremen, Germany

fYear

2013

fDate

23-26 June 2013

Firstpage

1

Lastpage

6

Abstract

In this paper, a non-fragile fuzzy control design is proposed for a class of nonlinear systems with mixed discrete and distributed time delays. The Takagi and Sugeno (T-S) fuzzy set approach is applied to the modelling of the nonlinear dynamics, and a T-S fuzzy model is constructed, which can represent the nonlinear system. Then, based on the fuzzy linear model, a fuzzy linear controller is developed to stabilize the nonlinear system. The control law is obtained to ensure stochastically exponentially stability in the mean square. The sufficient conditions for the existence of such a control are proposed in terms of certain linear matrix inequalities.

Keywords

asymptotic stability; control system synthesis; delay systems; discrete time systems; fuzzy control; fuzzy set theory; linear matrix inequalities; mean square error methods; nonlinear control systems; nonlinear dynamical systems; stochastic systems; T-S fuzzy model; T-S fuzzy set approach; Takagi and Sugeno fuzzy set approach; control law; distributed time delay; fuzzy linear controller; fuzzy linear model; linear matrix inequality; mean square; mixed discrete time delay; nonfragile fuzzy control design; nonlinear dynamics; nonlinear system stability; nonlinear systems; nonlinear time-delay systems; stochastically exponentially stability; sufficient conditions; Bismuth; Control systems; Fuzzy control; Linear matrix inequalities; Nonlinear systems; Stability analysis; Symmetric matrices; Fuzzy control; LMI; delay; stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ASCC), 2013 9th Asian

Conference_Location

Istanbul

Print_ISBN

978-1-4673-5767-8

Type

conf

DOI

10.1109/ASCC.2013.6606137

Filename

6606137