6533b7d0fe1ef96bd125acec

RESEARCH PRODUCT

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

Bahador MakkiHamid Reza KarimiBaharak Makki

subject

Nonlinear systemAdaptive neuro fuzzy inference systemExponential stabilityControl theoryFuzzy setMathematicsofComputing_NUMERICALANALYSISFuzzy numberFuzzy control systemFuzzy logicMathematics

description

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.

yearjournalcountryeditionlanguage
2013-06-012013 9th Asian Control Conference (ASCC)
https://doi.org/10.1109/ascc.2013.6606137