LMI-based Guaranteed Cost Controller Designs for T-S Fuzzy Memory Non-fragile Systems

Using linear matrix inequality(LMI) and based on the T-S fuzzy model,the guaranteed cost controller of memory non-fragile systems is studied.A sufficient condition for the existence of guaranteed cost controllers and the controller design scheme are proposed for T-S fuzzy memory non-fragile systems in terms of Lyapunov stability theory and LMI approach with controller gain perturbations.The suggested guaranteed cost controller ensures the asymptotical stability of the fuzzy closed-loop systems,and gives an upper-bound for the given guaranteed cost function.Finally,a numerical example is given to show the feasibility and effectiveness of the proposed techniques.