This article develops a predictive robust H_∞ static output feedback control approach for networked control systems where random network‐induced delays in both forward and feedback communication channels are modeled as two mutually uncorrelated Markov chains. By making use of the system augmentation method, the closed‐loop system is formulated as a singular Markovian jump system with two modes, wherein the transition probability matrices of the underlying Markov chains are considered to be partially accessible. Necessary and sufficient conditions for the stochastic admissibility and robust H_∞ performance of the closed‐loop system are given under the assumption of partially known transition probability matrices. A linear matrix inequality condition is proposed to determine the two‐mode‐dependent static output feedback controller gains to compensate for the random network‐induced delays efficiently and provide the desired control performance. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

中文翻译：

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具有部分已知延迟概率的网络控制系统的鲁棒H∞输出反馈设计

本文开发的预测鲁棒ħ _∞对于其中在前进和反馈的通信信道的随机网络诱导延迟建模为两个相互不相关的马尔可夫链的网络控制系统的输出反馈控制方法。通过使用系统扩充方法，闭环系统被公式化为具有两种模式的奇异马尔可夫跳跃系统，其中基础马尔可夫链的转移概率矩阵被认为是部分可访问的。对于随机受理和健壮的充分必要条件ħ _∞闭环系统的性能在部分已知的转移概率矩阵的假设下给出。提出了一个线性矩阵不等式条件来确定依赖于双模的静态输出反馈控制器增益，以有效补偿随机网络引起的延迟并提供所需的控制性能。最后，提供了一个数值示例来说明所提出方法的有效性。