This article deals with the problem of H∞H_{\infty } and l2_l∞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∞H_{\infty } or l2_l∞l_{2}-l_{\infty } performance index, respectively. Finally, a practical example is provided to illustrate the effectiveness of the proposed fuzzy filter design methods.

中文翻译：

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具有量化效应的离散时间Takagi__ugeno模糊非齐次马尔可夫跳跃系统的滤波


本文分别讨论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∞H_{\infty } 和 l2_l∞l_{2}-l_{\infty } 滤波问题。时变转移概率位于多胞体集中。为了降低保守性，本文考虑了模式相关的对数量化器。基于模糊规则相关的Lyapunov函数，给出了使滤波误差系统随机稳定且具有规定的H∞H_{\infty }或l2_l∞l_{2}-l_{\infty }性能指标的充分条件， 分别。最后，提供一个实际例子来说明所提出的模糊滤波器设计方法的有效性。