Abstract In this study, we concentrate on the design problem of robust reliable control for uncertain semi-Markovian jump systems with input saturation over a specified finite interval of time. To exhibit the reality, a delay function that varies with respect to time and a more practical actuator fault model are included in the addressed system and the control design, respectively. By coupling the linear matrix inequality technique and the Lyapunov stability method with the finite-time theory, the required finite-time stabilization conditions are established to the system under consideration. The proposed reliable control gain matrices can be subsequently acquired by solving the aforementioned conditions with the support of existing convex optimization algorithms. To testify the correctness of the developed theoretical results and display the effectiveness of the proposed control design, an academic example is presented.

中文翻译：

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具有输入饱和的不确定半马尔可夫跳跃系统的有限时间可靠镇定

摘要 在这项研究中，我们专注于在指定的有限时间间隔内输入饱和的不确定半马尔可夫跳跃系统的鲁棒可靠控制的设计问题。为了展示现实，所涉及的系统和控制设计中分别包含随时间变化的延迟函数和更实用的执行器故障模型。通过将线性矩阵不等式技术和李雅普诺夫稳定性方法与有限时间理论相结合，为所考虑的系统建立所需的有限时间稳定条件。随后可以通过在现有凸优化算法的支持下解决上述条件来获得所提出的可靠控制增益矩阵。