Adaptive Preset-Time Tracking Control for State-Constrained Nonlinear Switching Systems Under Replay Attacks

Yancheng Yan

Abstract: This paper addresses the preset-time tracking issue for a type of state-constrained nonlinear switching systems under exogenous disturbances, subjected to replay attacks occurring in the controller-actuator (C-A) channel. Initially, a nonlinear performance function is constructed that relies exclusively on the restricted states to manage the time-varying state constraints. Moreover, by introducing a coordinate transformation and integrating it into every phase of the backstepping approach, the feasibility condition imposed on the virtual control signals is fully avoided. As a result, an innovative adaptive tracking control strategy is proposed, capable of simultaneously addressing exogenous disturbances and replay attacks. Specifically, the proposed control structure ensures that all tracking errors converge into a predefined small region around the equilibrium point within a preset time while ensuring that all signals in the closed-loop system comply with the corresponding state restrictions. Finally, the efficacy and superiority of the proposed control framework are theoretically confirmed and practically illustrated through a representative case study.

Submission Number: 228