This article addresses the problem of dissipative control for fuzzy singular semi-Markovian jump systems with actuator faults, mode-dependent delays and randomly occuring uncertainties. Firstly, Takagi-Sugeno fuzzy model is utilized to describe the singular nonlinear semi-Markovian jump delayed systems. Then, a more general actuator fault model is considered and the fuzzy reliable controller is designed. Based on the delay system method, dissipative control theory and linear matrix inequality techniques, multiple appropriate Lyapunov-Krasovskii functional candidates are constructed to propose sufficient conditions which guarantee that fuzzy singular semi-Markovian jump delayed system is stochastically admissible and strictly $(W,Y,S)-\alpha$ dissipative. Finally, two simulation examples including the DC motor driving model are presented to affirm the effectiveness of the obtained results.

本文解决了具有执行器故障，模式依赖的延迟和随机发生的不确定性的模糊奇异半马尔可夫跳跃系统的耗散控制问题。首先，利用Takagi-Sugeno模糊模型描述了奇异的非线性半马尔可夫跳跃时滞系统。然后，考虑一个更通用的执行器故障模型，并设计了模糊可靠控制器。基于时滞系统方法，耗散控制理论和线性矩阵不等式技术，构造了多个合适的Lyapunov-Krasovskii函数候选者，以提出充分的条件，从而确保模糊奇异半马氏跳跃时滞系统是随机可接受的并且严格地$（\mathrm{w\; ^}，ÿ，\mathrm{小号}）-\alpha$耗散。最后，给出了两个仿真示例，包括直流电动机驱动模型，以确认所获得结果的有效性。