Fault-Tolerant Synchronization Control for Complex Networks by an Average Observer Approach

This article is dedicated to a fault-tolerant synchronization control method of complex networks (CNs) via an average observer. A projected operator matrix is constructed to reduce the dimension of CNs by clustering and aggregation. An average observer with derivative and integral terms is built to estimate unknown elements with high estimation accuracy. The fault-tolerant controller is a composite form of state-feedback and the estimated faults. Sufficient criterions are set up to guarantee the uniformly ultimately bounded synchronization of the resultant close-loop system. Finally, an example is simulated to deliver the effectiveness of the proposed approach.