Adaptive attack-resilient control for Markov jump system with additive attacks

This paper investigates the attack-resilient control problem for Markov jump systems (MJSs) with additive attacks. Both the sensor attacks and actuator attacks are taken into account in this paper, which make the attack-resilient control problem particularly complex. Moreover, different from multiplicative sensor attacks, the additive attacks are addressed in this paper. The adaptive laws based on projection operation are designed to ensure that the estimations of the unknown parameters are bounded. Based on the adaptive laws, the novel adaptive attack-resilient control strategy is proposed. Then, through combining the adaptive method and tracking control method, where the target tracking trajectories are the estimate values from adaptive laws, the boundedness and stability of system states are guaranteed in this paper. Finally, the adaptive attack-resilient control strategy is applied into an application example to illustrate the effectiveness.