Robust H∞ control of T-S fuzzy systems with input time-varying delays: A delay partitioning method

Abstract Addressed in this paper is the robust H∞ control issue of T-S fuzzy systems with input time-varying delays. By means of the delay partitioning method, the delay interval is partitioned into multiple unequal subintervals whose lengths satisfy a geometric sequence. On this basis, a modified Lyapunov–Krasovskii functional is presented to analyze asymptotic stability of the open-loop system. Then a state feedback controller that ensures a prescribed H∞ performance level for the closed-loop system is proposed in linear matrix inequality format. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the obtained results.

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