Delay-Dependent Robust Guaranteed Cost Control for Uncertain Neutral T-S Fuzzy Systems with Distributed Delays

This paper investigates the problem of delay-dependent robust guaranteed cost controller design for uncertain neutral T-S fuzzy systems with both discrete and distributed delays based on free weighing matrix approach [1]. A sufficient condition for the solvability of this problem is obtained. This condition, however, is not in the LMI form. Different from the CCL methods used in article [2], By constructing a novel Lyaponov functional and matrix transformation techniques, an LMI-based condition for the solvability of the optimal guaranteed-cost control problem is derived and an estimate of the upper bound of the optimal cost is obtained. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed approach.