Title :
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
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;
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
DOI :
10.1109/ASCC.2013.6606137
