Abstract This work presents results on the development of robust H∞ control strategy for Networked Control Systems (NCSs) by involving uncertainties in both communication and controlled plant subsystems. The network-induced delays in both communication links (to and from the controller) are assumed to behave as Markov chains. An analytical approach is presented to calculate the transition probabilities of the Markovian network-induced delays. By employing the augmentation method, the resultant system is converted into a delay-free uncertain singular Markovian jump system with bounded transition probabilities. New conditions are established to assure that the uncertain NCS satisfies an H∞ performance requirement. Moreover, sufficient conditions for robust H∞ output feedback controller design are expressed in terms of LMIs. Finally, numerical examples are presented to verify the validity of the proposed controller design method.

中文翻译：

---

在存在通信和系统不确定性的情况下实现鲁棒 H∞ 性能的网络控制设计的实用方法

摘要 这项工作通过涉及通信和受控工厂子系统中的不确定性，展示了为网络控制系统 (NCS) 开发鲁棒 H∞ 控制策略的结果。假设两个通信链路（到控制器和从控制器）中的网络引起的延迟表现为马尔可夫链。提出了一种分析方法来计算马尔可夫网络引起的延迟的转移概率。通过使用增强方法，将所得系统转换为具有有界转移概率的无延迟不确定奇异马尔可夫跳跃系统。建立新条件以确保不确定的 NCS 满足 H∞ 性能要求。此外，稳健的 H∞ 输出反馈控制器设计的充分条件用 LMI 表示。最后，