Abstract In this article, by exploiting the sampling communication mechanism (SCM) with probabilistically switching signals, the dissipativity-based resilient reliable control design problem is addressed for Markovian jump systems (MJSs), which simultaneous against the multiplicate stochastic intermittent actuator faults (MSIAFs) and randomly occurring controller gain fluctuations (ROCGFs). The primary objective of this work is to synthesis a resilient controller such that the underlying MJSs is stochastically stable while meeting an expected ( Q , S , R ) − ϑ dissipative performance index in the presence of ROCGFs. First and foremost, the randomly occurring actuator faults (ROAFs) and their failures rates are characterized by a series of mutually independent stochastic variables that satisfy prescribed probabilistic distributions for each actuator. The distortion degree and failure rate of each actuator can be quantized and calculated with the help of mathematical variance and expectation respectively. Secondly, the sampling controller with stochastically variable operation periods is considered and just assumed to switch between two different values in stochastic circumstances with certain probability. Thirdly, the nonfragile controller gain fluctuations also happens in a random framework which are obedient to Bernoulli distribution sequence (BDS). Fourthly, by resorting to an appropriately Lyapunov–Krasovskii functional (LKF) and adopting matrix inequality decoupling technique, several sufficient conditions for the solvability of the addressed problem are eventually formulated in the shape of linear matrix inequalities (LMIs). Ultimately, three real-life numerical examples are exploited to illustrate the effectiveness and applicability of the presented theoretical findings.

中文翻译：

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随机采样操作机制下具有概率故障和增益波动的马尔可夫跳跃系统的弹性控制器综合

摘要 在本文中，通过利用具有概率切换信号的采样通信机制 (SCM)，针对马尔可夫跳跃系统 (MJS) 解决了基于耗散的弹性可靠控制设计问题，该系统同时针对多重随机间歇执行器故障 (MSIAF)。和随机发生的控制器增益波动 (ROCGF)。这项工作的主要目标是合成一个弹性控制器，使得底层 MJS 是随机稳定的，同时在 ROCGF 存在的情况下满足预期的 (Q , S , R ) − ϑ 耗散性能指数。首先，随机发生的执行器故障 (ROAF) 及其故障率的特征在于一系列相互独立的随机变量，这些随机变量满足每个执行器的规定概率分布。可以分别借助数学方差和期望来量化和计算每个执行器的畸变程度和故障率。其次，考虑了具有随机可变操作周期的采样控制器，并且仅假设在随机情况下以一定概率在两个不同值之间切换。第三，非脆弱控制器增益波动也发生在服从伯努利分布序列（BDS）的随机框架中。第四，通过采用适当的 Lyapunov-Krasovskii 泛函 (LKF) 并采用矩阵不等式解耦技术，最终以线性矩阵不等式 (LMI) 的形式表述所解决问题的可解性的几个充分条件。最后，利用三个现实生活中的数值例子来说明所提出的理论发现的有效性和适用性。