In this article, a protocol‐based H_∞ filtering problem is investigated for piecewise linear (PWL) systems with mixed delays. Stochastic access protocol (SAP) is utilized to schedule the signal transmission via a constrained communication channel, under which only one measurement value can be transmitted to the filter at each time instant following a Markov process. When SAP is applied to PWL systems, only a part of system modes can be observed due to the incomplete measurement information. Therefore, a measurement‐dependent parameter storage rule with a certain probability distribution is introduced to overcome the difficulties coming from SAP‐induced incomplete information. By resorting to the proposed mode storage rule, a novel measurement‐dependent asynchronous H_∞ filter model is constructed and the problem is converted into a new switching process of a larger state space following a reconstructed Markov process. Subsequently, a sufficient condition is established to guarantee the H_∞ performance, and the probability‐dependent filter parameters are obtained by applying the stochastic analysis technique. Finally, a numerical example is given to show the effectiveness of the design approach.

中文翻译：

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分段线性系统基于协议的H∞滤波：一种与测量有关的等效减少方法

在本文中，基于协议的ħ _∞滤波问题研究了具有混合的延迟分段线性（PWL）系统。利用随机访问协议（SAP）来调度通过受限通信信道的信号传输，在该信道下，马尔可夫过程之后的每个时刻只能向滤波器发送一个测量值。当SAP应用于PWL系统时，由于测量信息不完整，只能观察到部分系统模式。因此，引入了具有一定概率分布的依赖于测量的参数存储规则，以克服由SAP引起的不完整信息带来的困难。通过借助于所提出的模式存储规则，一种新型的相关测量的异步ħ _∞构造滤波器模型，并在重构的马尔可夫过程之后将问题转换为更大状态空间的新切换过程。随后，充分条件成立，以保证ħ _∞性能，和从属概率滤波器参数通过施加随机分析技术获得的。最后，通过数值例子说明了该设计方法的有效性。