耗散系统
解耦(概率)
数学
加权
模糊逻辑
应用数学
多面体
控制理论(社会学)
滤波器(信号处理)
马尔可夫链
计算机科学
离散数学
物理
统计
控制(管理)
人工智能
控制工程
工程类
量子力学
计算机视觉
声学
作者
Yufeng Tian,Zhanshan Wang
出处
期刊:IEEE transactions on cybernetics
[Institute of Electrical and Electronics Engineers]
日期:2022-06-01
卷期号:52 (6): 4574-4584
被引量:72
标识
DOI:10.1109/tcyb.2020.3030503
摘要
This article investigates the finite-time extended dissipative filtering for singular T-S fuzzy Markov jump systems with time-varying transition probabilities (TPs). The time-varying TPs are considered to reside in a polytope. By resorting to a generalized performance index, the H∞ , L2-L∞ , passive, and dissipative performance can be solved in a unified framework. Combining the free-weighting method and the proposed recursive method, a sufficient condition on singular stochastic extended dissipative finite-time boundedness (SSEDFTB) for a fuzzy filtering error system is obtained. By proposing a decoupling principle called double variables-based decoupling principle (DVDP) and a variable substitution principle (VSP), a novel condition on the existence of the fuzzy filter is presented in terms of linear matrix inequalities (LMIs). Compared with the existing works, the assumption on state variables and the constraints of slack matrices are overcome, which leads to more practical and less conservative results. A practical example is provided to demonstrate the effectiveness of the design methods.
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