Adaptive sliding mode control for uncertain nonlinear switched system under probabilistic replay attacks: The output feedback approach

This article investigates the output-feedback-based adaptive sliding mode control problem for a class of switched systems with probabilistic nonlinearities and replay attacks. The adversary might attack the system during the communication transmissions. The objective of the problem addressed is to design a new output-feedback-based adaptive sliding mode control law by utilizing the actual measured output information such that the impacts of immeasurable states and probabilistic replay attacks are compensated. In addition, the input-to-state stability in probability of closed-loop switched system and the reachability analysis of the specified sliding surface are discussed, where the sufficient conditions are established accordingly. Finally, two simulations are provided to illustrate the effectiveness of the proposed sliding mode control method.