This paper addresses a finite-time sliding-mode control problem for a class of Markovian jump cyber-physical systems. It is assumed that the control input signals transmitted via a communication network are vulnerable to cyber-attacks, in which the adversaries may inject false data in a probabilistic way into the control signals. Meanwhile, there may exist randomly occurring uncertainties and peak-bounded external disturbances. A suitable sliding mode controller is designed such that state trajectories are driven onto the specified sliding surface during a given finite-time (possibly short) interval. By introducing a partitioning strategy, the stochastic finite-time boundedness over the reaching phase and the sliding motion phase is analyzed, respectively. A key feature is that a set of mode-dependent sufficiently small scalars are introduced into some coupled Lyapunov inequalities such that the feasible solutions are easily obtained for the stochastic finite-time boundedness of the closed-loop systems. Finally, the practical system about a single-link robot-arm model is given to illustrate the present method.

中文翻译：

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马尔可夫跳跃网络物理系统对抗随机发生注入攻击的有限时间滑模控制


本文解决了一类马尔可夫跳跃网络物理系统的有限时间滑模控制问题。假设通过通信网络传输的控制输入信号容易受到网络攻击，其中对手可能以概率的方式将虚假数据注入到控制信号中。同时，可能存在随机发生的不确定性和峰值有限的外部干扰。设计合适的滑模控制器，使得状态轨迹在给定的有限时间（可能很短）间隔期间被驱动到指定的滑模表面上。通过引入分区策略，分别分析了到达阶段和滑动阶段的随机有限时间有界性。一个关键特征是，在一些耦合的李雅普诺夫不等式中引入了一组与模式相关的足够小的标量，以便可以轻松获得闭环系统的随机有限时间有界性的可行解。最后，给出了单连杆机器人手臂模型的实际系统来说明本方法。