This article is concerned with the event‐triggered nonfragile reliable control of nonlinear positive semi‐Markovian jump systems with randomly occurring faults. The randomly occurring actuator fault, describing the phenomenon of the actuator fault appearing in a random way, is assumed to obey a semi‐Markovian process different from the jump process of the systems. The nonlinear function is located in a sector. Using a stochastic copositive Lyapunov function integrated with linear programming, an event‐triggered control strategy is employed to deal with the stochastic stabilization of the underlying systems, where the transition rates satisfy a polytopic uncertain condition. Nonfragile reliable controllers with additive and multiplicative perturbations are proposed for the considered systems, respectively. Compared with existing results, the obtained approach establishes a more general fault description and proposes a more practicable control design. Finally, the novelties of the proposed approach are verified via two examples.

中文翻译：

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具有随机发生的执行器故障的非线性正半马氏跳跃系统的事件触发控制

本文涉及具有随机发生故障的非线性正半马氏跳跃系统的事件触发非脆弱可靠控制。假定随机发生的执行器故障描述了以随机方式出现的执行器故障现象，则服从与系统跳跃过程不同的半马尔可夫过程。非线性函数位于一个扇区中。使用与线性规划集成的随机协整Lyapunov函数，采用事件触发的控制策略来处理底层系统的随机稳定性，其中转换率满足多主题不确定条件。分别针对所考虑的系统，提出了具有加和乘扰动的非脆弱可靠控制器。与现有结果相比，所获得的方法建立了更一般的故障描述并提出了更实用的控制设计。最后，通过两个例子验证了所提方法的新颖性。