Abstract
This paper addresses the finite-frequency H∞ 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∞ 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.
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