Finite-time filtering of T-S fuzzy semi-Markov jump systems with asynchronous mode-dependent delays

This paper studies the finite-time filter design of semi-Markov jump system by Takagi-Sugeno (T-S) fuzzy rules. Asynchronous mode-dependent delays are concerned to describe more practical random features, which implies that the semi-Markov process of system state is different from another semiMarkov process of mode-dependent time-varying delays. With the help of model transformation as well as mode-dependent Lyapunov-Krasovskii function method, sufficient criteria are first established for maintaining finite-time passivity performance of filtering errors. Then, the matrix technique is employed to synthesize the filter gain design. In the end, the applicableness and effectiveness of our developed results are confirmed by an illustrative example. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.