Modified looped functional for sampled-data control of TS fuzzy Markovian jump systems

Abstract

This article investigates the sampled-data control for a class of Takagi–Sugeno (T–S) fuzzy Markovian jump systems via a novel looped functional approach. By refining the fractional delayed state concept, the looped functional is established to include more sampling information of the intervals not only from x(tk) to x(t) but also from x(t) to x(tk+1) , which would contribute to a reduction in the conservatism. Then, a sufficient criterion is presented to ensure the stochastic stability of the resulting closed-loop system, based on which the sampled-data controller is further designed for the T–S fuzzy Markovian jump system under the influence of asynchronous premise variables. Finally, the obtained theorems are applied to a numerical example and a practical application to show the effectiveness and superiority of the proposed method.