Distributed Finite-Time ADP-Based Optimal Secure Control for Complex Interconnected Systems Under Topology Attacks

Motivated by finite-time optimization, this article concentrates on the finite-time stability of the complex interconnected systems under the topology attacks on communication edges. First, the models of the complex interconnected system and the topology attacks constrained by the limitation of the attack duration and frequency are described. Then, by mapping the value function into finite-time stability space, the distributed finite-time optimal consensus control (FTOCC) framework is designed. The tolerance limits of the proposed FTOCC for the topology attacks are analyzed under finite-time stability. Furthermore, a signal finite-time critic network and the control input approximation are presented to implement the secure optimal control strategy with finite-time convergence characteristics. And the practical finite-time stability of the closed-loop systems is guaranteed theoretically. Finally, the effectiveness of the proposed distributed finite-time adaptive dynamic programming-based optimal control scheme is illustrated by the comparison experiments.