Anti-windup compensator design for T-S fuzzy systems with delayed state and saturating input

This paper concerns with the problem of determining stability domain of time-delay T-S fuzzy systems with input saturation. The stability domain may be enlarged by applying a fuzzy anti-windup compensator to the considered system. For T-S fuzzy systems with delayed state and saturating input, delay-independent and delay-dependent, stability conditions are correspondingly established using the Lyapunov-Krasovskii approach. Then, a numerical algorithm in the form of LMIs is provided to compute the anti-windup gain in order to maximize an estimate of the domain of stability associated to it. An example is given to illustrate the effectiveness of the results.