Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions

Abstract

This paper aims to design an improved sampled-data control for T-S fuzzy systems under mismatch of the actual fuzzy-basis function and the sampled fuzzy-basis function. To this end, an enhanced two-sided looped-functional method is proposed so that the chosen Lyapunov-Krasovskii functional can contain two new time-integrated states. In addition, a less conservative relaxation process is devised in such a way that (1) the error bounds of the mismatched fuzzy-basis functions can be imposed on the stabilization conditions, and (2) the required computational complexity can be reduced when relaxing the mismatched fuzzy-basis functions. Finally, through two illustrative examples, the effectiveness of the proposed method is verified by comparing our results with those of other existing methods.