Finite-frequency H∞ control design for T-S fuzzy systems with state/input delay and physical constraints

This paper addresses the finite-frequency H-infinity control design problem for T-S fuzzy systems with state or input time-delay. Due to existing physical limitations in the real-world applications, some physical hard constraints are taken into account in the controller design. Based on the limited frequency range of disturbance and generalized Kalman-Yakubovich-Popov (gKYP) lemma, some controller design conditions are presented in terms of linear matrix inequalities (LMIs) to guarantee the asymptotic stability of the closed-loop system with a prescribed finite-frequency H-infinity performance. These conditions, which can be easily solved with standard routines, are provided for T-S fuzzy systems with state or input delay. Finally, three practical examples are investigated to illustrate the effectiveness of the proposed method.