Filtering for Discrete-Time Takagi–Sugeno Fuzzy Nonhomogeneous Markov Jump Systems With Quantization Effects
Mingang Hua, Yang‐Yang Qian, Feiqi Deng, Juntao Fei, Pei Cheng, Hua Chen · IEEE Transactions on Cybernetics · 2020
This article deals with the problem of$H_{\infty }$and$l_{2}-l_{\infty }$filtering for discrete-time Takagi–Sugeno fuzzy nonhomogeneous Markov jump systems with quantization effects, respectively. The time-varying transition probabilities are in a polytope set. To reduce conservativeness, a mode-dependent logarithmic quantizer is considered in this article. Based on the fuzzy-rule-dependent Lyapunov function, sufficient conditions are given such that the filtering error system is stochastically stable and has a prescribed$H_{\infty }$or$l_{2}-l_{\infty }$performance index, respectively. Finally, a practical example is provided to illustrate the effectiveness of the proposed fuzzy filter design methods.