Observer-Based Adaptive Output-Feedback Fault-Tolerant Control of a Class of Complex Dynamical Networks

This paper is concerned with the observer-based adaptive output-feedback fault-tolerant control (FTC) problem for a class of complex dynamical networks (CDNs) with actuator faults. First, to address the coupling terms involved in the node dynamics, algebraic graph theory is used to design a new distributed state observer. Then, an observer-based adaptive output feedback FTC scheme is given to achieve the desired synchronization performance. Furthermore, via the Lyapunov analysis approach, it is proved that both the state estimation errors and the synchronization errors are all bounded for the faulty cases, while the asymptotical convergence is ensured for the fault-free case. In addition, it is shown that the proposed FTC scheme is valid for CDN with both time-invariant and time-variant graphs. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.