Model-Free Fault Tolerant Control for a Class of Complex Dynamical Networks With Derivative Couplings

This paper studies the fault tolerant synchronization control for a class of derivative coupled complex dynamical networks (CDNs). Different from the existing results, each subsystem model is assumed to be completely unknown and the coupling terms are mismatched with the control input. Within this framework, a novel model-free fault tolerant controller is designed. Under the proposed control law, the synchronization errors of CDNs are proved to asymptotically converge to zero, which means that the synchronization is successfully achieved. Especially, by combining an important spectral decomposition technique and some properties of Laplacian matrix, a data-based algorithm is provided to derive the controller parameter. In addition, the proposed method is also valid for the CDNs with unknown coupling weights. Finally, examples on circuit systems are given to verify the theoretical results, and some circuit realizations of the proposed control law are implemented based on the circuit theory.