Sliding mode control for Markovian jump systems under deception attacks

This research article considers the design of static output-feedback sliding mode control for Markovian jump systems, in which the attacker may inject false information into the communication channel between the controller and the actuator. The key issue is how to design the feasible sliding mode control law to overcome the effects of unknown and time-varying attacks. To this end, an on-line estimation scheme is introduced to deal with the unknown network attack patterns. And then, a Linear sliding surface is constructed based on the measured output information and an output-feedback sliding mode controller is correspondingly designed. It is shown that the reachability of the specified sliding surface can be achieved and the asymptotic stability of the closed-loop system can be ensured under the derived sufficient conditions. Finally, simulation examples are provided to verify the developed static output-feedback sliding mode control strategy.