This paper focuses on the dissipativity-based asynchronous filtering problem for a class of discrete-time Takagi-Sugeno fuzzy Markov jump systems subject to randomly occurred quantization. Considering the random fluctuations of network conditions, the randomly occurred quantization is introduced to describe the quantization phenomenon appearing in a probabilistic way. To take full advantage of the partial information of system modes for the desired system performance, we adopt the asynchronous filter in which mode transition matrix is nonhomogeneous. The mode-dependent time-varying delays are introduced, which have different bounds for different system modes. Via fuzzy-mode-dependent Lyapunov functional approach that can reduce conservatism, a sufficient condition on the existence of the asynchronous filter is derived such that the filtering error system is stochastically stable and strictly (Q, S, R)-dissipative. Then, the gains of the filter are obtained by solving a set of linear matrix inequalities (LMIs). An example is utilized to illustrate the validity of the developed filter design technique where the relationships among optimal dissipative performance indices, delays, quantization parameter, and the degree of asynchronous jumps are given.

中文翻译：

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通过 TS 模糊模型随机发生量化的非线性马尔可夫跳跃系统的异步滤波


本文重点研究一类受随机发生量化影响的离散时间 Takagi-Sugeno 模糊马尔可夫跳跃系统的基于耗散性的异步滤波问题。考虑到网络条件的随机波动，引入随机发生量化来以概率的方式描述出现的量化现象。为了充分利用系统模式的部分信息以获得所需的系统性能，我们采用模式转移矩阵非齐次的异步滤波器。引入了与模式相关的时变延迟，其对于不同的系统模式具有不同的界限。通过可以减少保守性的模糊模式相关的Lyapunov泛函方法，导出了异步滤波器存在的充分条件，使得滤波误差系统随机稳定且严格(Q，S，R)耗散。然后，通过求解一组线性矩阵不等式（LMI）获得滤波器的增益。用一个例子来说明所开发的滤波器设计技术的有效性，其中给出了最佳耗散性能指标、延迟、量化参数和异步跳跃程度之间的关系。