Hua Mingang, Qian Yangyang, Deng Feiqi, Fei Juntao, Cheng Pei, Chen Hua
IEEE Trans Cybern. 2022 Feb;52(2):982-995. doi: 10.1109/TCYB.2020.2991159. Epub 2022 Feb 16.
This article deals with the problem of H and l-l 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 or l-l performance index, respectively. Finally, a practical example is provided to illustrate the effectiveness of the proposed fuzzy filter design methods.
本文分别研究了具有量化效应的离散时间Takagi-Sugeno模糊非齐次马尔可夫跳跃系统的H∞和l1滤波问题。时变转移概率位于一个多面体集合中。为了降低保守性，本文考虑了一种依赖于模式的对数量化器。基于依赖于模糊规则的李雅普诺夫函数，分别给出了使滤波误差系统随机稳定并具有规定的H∞或l1性能指标的充分条件。最后，通过一个实际例子说明了所提出的模糊滤波器设计方法的有效性。
