Sliding mode control for Markovian jump systems subject to randomly occurring injection attacks: Handling aperiodic sampling issues

摘要

This paper investigates the sliding mode control for Markovian jump systems with the aperiodic sampling and cyber attacks , where the sampling period varies over a known interval and the system state is sampled and transmitted to the controller. Meanwhile, injection attacks may be randomly occurred when the control signals are transmitted to the actuator . The sampled-state based sliding mode controller is designed, where by choosing a mode-dependent sliding surface. With the aid of the improved looped functional, both the reachability of the specified sliding surface and the stochastic stability of the closed-loop system are analyzed. Furthermore, the genetic algorithm is used to search a desirable sliding matrix via minimizing the sliding domain. In the end, a single arm robot arm systems is applied to verify the proposed control scheme.