In this paper, the dissipativity-based dynamic output feedback controller (DOFC) design for Semi-Markovian jump systems under stochastic cyber-attacks is first proposed. It is assumed that the time-varying uncertainties obey Bernoulli-distribution and transition probability matrix is time-varying and partially accessed. By utilizing the dissipativity-based technique, sufficient conditions for the existence of the DOFC are obtained to ensure the exponential stability with a strict dissipative performance of the resulted system. Next, the proposed results are improved by fractionalizing the time-varying transition probability matrix and the corresponding DOFC gains are obtained by cone complementarity linearization algorithm. Simulations results are provided to demonstrate the effectiveness and theoretical value of the proposed dissipativity-based DOFC design method.

本文首先提出了基于随机耗散的半马尔可夫跳跃系统基于耗散的动态输出反馈控制器（DOFC）设计。假设时变不确定性服从伯努利分布，并且转移概率矩阵是时变的并且被部分访问。通过使用基于耗散性的技术，可以为DOFC的存在获得充分的条件，以确保指数稳定性和所产生系统的严格耗散性能。接下来，通过对时变跃迁概率矩阵进行分步来改进所提出的结果，并通过锥互补线性化算法获得相应的DOFC增益。