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Parameter-dependent sliding mode control for Markovian jump systems within finite-time interval: handling randomly occurring actuator faults
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2021-04-22 , DOI: 10.1080/00207721.2021.1916641
Meng Zhao 1 , Yugang Niu 1
Affiliation  

In this article, the finite-time sliding mode control problem is studied for the Markovian jump systems. The uncertainties and actuator faults are randomly occurring and varying, which are simultaneously considered in the controlled systems. In order to characterise the stochastic phenomenon, two independent exponentials distributed random variables are introduced. To implement finite-time control performance, a suitable sliding mode controller is developed, which forces the trajectories of the system onto the specified sliding surface in a given finite-time (possibly short) interval. Besides, sufficient conditions are obtained to guarantee the stochastic finite-time boundedness within the entire finite-time interval, including the reaching and the sliding motion phases. Finally, simulation results demonstrate the feasibility of the proposed control strategy.



中文翻译:

有限时间间隔内马尔可夫跳跃系统的参数相关滑模控制:处理随机发生的执行器故障

本文研究了马尔可夫跳跃系统的有限时间滑模控制问题。不确定性和执行器故障是随机发生和变化的,它们在受控系统中同时被考虑。为了表征随机现象,引入了两个独立的指数分布的随机变量。为了实现有限时间控制性能,开发了一种合适的滑模控制器,它迫使系统的轨迹在给定的有限时间内(可能很短) 间隔。此外,获得了充分条件来保证在整个有限时间间隔内的随机有限时间有界性,包括到达和滑动运动阶段。最后,仿真结果证明了所提出的控制策略的可行性。

更新日期:2021-04-22
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