Fault-Tolerant Intermediate Estimator-Based Output Feedback Control for a Class of Interconnected Systems with Nonlinear Coupling Interconnections

This article proposes an output feedback fault-tolerant control (FTC) method to compensate for connection interruption faults and actuator faults present in interconnected systems. An intermediate estimator based fault reconstruction method and a decentralized FTC scheme are designed, using Kirchhoff matrix tree lemma to eliminate coupling effects between subsystems in interconnected systems. In addition, by combining the intermediate estimation algorithm and Lyapunov function method, it is proven that the global error system is uniformly ultimately bounded (UUB). This article also discusses the occurrence of connection failures and proves that our proposed method is still effective as long as at least one cycle can include all nodes. In comparison to previous results, the proposed decentralized FTC approach deals with interconnected dynamical systems that have unknown nonlinear interconnections and unreliable connections. Finally and most importantly, the rationality of the proposed FTC method has been verified using a networked chemical reactor recovery servo system.