Abstract
Till now, most of the results on T-S (Takagi-Sugeno) fuzzy Markov jump systems are synchronous and independent of the analysis of membership functions (MFs), which leads to conservatism. Therefore, it is significant to study the MFs-dependent Lyapunov-Krasovskii functional (LKF) while consid-ering asynchrony. This article investigates the <inline-formula><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> control issue of T-S fuzzy Markov jump systems with time-varying delay. First, delay-product-type (DPT) terms and MFs are introduced to design a new LKF, which fully utilizes the information of time-varying delay and MFs simultaneously. Moreover, based on a hidden Markov model, the controller mode is assumed to operate asynchronously with the system mode, and an asynchronous switching fuzzy controller is proposed by employing the switching approach. Thus a more practical and less conservative stability criterion is obtained to ensure the closed-loop system is stochas-tically stable with <inline-formula><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> performance. Finally, three examples are provided to illustrate the superiority and practicability of the presented method.
Original language | English |
---|---|
Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | IEEE Transactions on Fuzzy Systems |
DOIs | |
Publication status | Accepted/In press - 1 Aug 2023 |