Non-Fragile Fuzzy Guaranteed Cost Control of Uncertain Nonlinear Discrete-Time Systems

This paper is concerned with the problem of non-fragile guaranteed cost control for a class of uncertain nonlinear discrete-time systems described by T-S fuzzy model with parameter uncertainty. For both the cases with additive and multiplicative uncertainties, we address the problem of designing non-fragile guaranteed cost fuzzy state feedback controllers such that, for all admissible uncertainties, the resulting closed-loop fuzzy system is stable and the cost performance is no more than a certain upper bound. Sufficient conditions for the existence of desired controllers are proposed in terms of linear matrix inequalities. Simulation results demonstrate the feasibility of the proposed approach.