Security-Based Practical Fixed-Time Adaptive Control for High-Power Nonlinear Cyber-Physical Systems

This article addresses the security-based practical fixed-time adaptive stabilization problem for nonlinear cyber-physical systems (CPSs) with higher powers under deception attacks. First, a novel practical fixed-time stability criterion is proposed based on Nussbaum functions. The criterion introduces a relaxed convergence condition, facilitating the analysis of practical fixed-time stability for high-power nonlinear systems. Second, to compensate for the compromised states, a dual coordinate transformation structure consisting of a virtual coordinate transformation and an available coordinate transformation is proposed. This structure is applicable to both low- and high-power systems. Moreover, a security-based fixed-time control strategy is developed by combining adaptive methods with Nussbaum functions to mitigate the influence of unknown attack gains. The proposed strategy also effectively overcomes the singularity problem. Finally, the effectiveness of the designed control strategy is validated through simulations.