Abstract This paper analyzes the problem of extended dissipative asynchronous filtering for Markov jump T–S fuzzy systems (MJTSFSs) with sensor failures and incomplete measurements. The highlight of this work lies in the fact that we introduce an asynchronous filter (AF) in which mode transition probability matrix (TPM) is non-homogeneous. “Asynchronous” means that the switching of the filters to be designed may be different from that of the systems. Thanks to this AF, partial information of system modes can be fully utilized to achieve the improved and extended dissipative performance including the dissipativity, passivity, H ∞ performance and l 2 − l ∞ performance. Specifically, we first attempt to show that the transition probability information (TPI) of the two different Markov chains is not fully known, which can be regarded as an extension of existing work. In the meantime, this is also an arduous problem to be solved in this article. Additionally, with respect to the asynchronous filtering of MJTSFSs, we not only consider that sensor failures occur randomly in the filter systems, but also that research that the measured output is assumed to be quantized by the logarithmic quantizer. Then, an AF is designed for MJTSFSs with sensor failures and incomplete transition probability (ITP) for the first time. Finally, through three examples, the effects of sensor failures, quantizers, and degrees of asynchronism on system performance are examined.

中文翻译：

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具有部分转换描述和不完整测量的 T-S 模糊切换系统的扩展耗散异步滤波

摘要 本文分析了具有传感器故障和不完整测量的马尔可夫跳跃 T-S 模糊系统 (MJTSFS) 的扩展耗散异步滤波问题。这项工作的亮点在于我们引入了一个异步滤波器 (AF)，其中模式转换概率矩阵 (TPM) 是非齐次的。“异步”意味着要设计的滤波器的切换可能与系统的切换不同。由于这种AF，可以充分利用系统模式的部分信息来实现改进和扩展的耗散性能，包括耗散性、无源性、H ∞ 性能和l 2 − l ∞ 性能。具体来说，我们首先尝试证明两个不同马尔可夫链的转移概率信息（TPI）是不完全已知的，这可以看作是现有工作的延伸。同时，这也是本文要解决的一个棘手问题。此外，关于 MJTSFS 的异步滤波，我们不仅考虑了传感器故障在滤波器系统中随机发生，而且还研究了假设测量输出被对数量化器量化的研究。然后，首次为具有传感器故障和不完全转移概率 (ITP) 的 MJTSFS 设计了 ​​AF。最后，通过三个示例，检查了传感器故障、量化器和异步程度对系统性能的影响。我们不仅考虑了传感器故障在滤波器系统中随机发生的情况，而且还考虑了假设测量输出被对数量化器量化的研究。然后，首次为具有传感器故障和不完全转移概率 (ITP) 的 MJTSFS 设计了 ​​AF。最后，通过三个示例，检查了传感器故障、量化器和异步程度对系统性能的影响。我们不仅考虑了传感器故障在滤波器系统中随机发生的情况，而且还考虑了假设测量输出被对数量化器量化的研究。然后，首次为具有传感器故障和不完全转移概率 (ITP) 的 MJTSFS 设计了 ​​AF。最后，通过三个示例，检查了传感器故障、量化器和异步程度对系统性能的影响。