Finite-Time Fault Estimation and Tolerant Control for Nonlinear Interconnected Distributed Parameter Systems with Markovian Switching Channels

This work investigates the problems of decentralized fault estimation within a finite-time interval (FTI) and fault-tolerant control for nonlinear interconnected distributed parameter systems under the situation of unpredictable faults. First, the fault estimator using interconnected information is designed to estimate the occurred faults over an FTI. Second, the designed fault-tolerant controller has a non-fragile characteristic and can make the considered system satisfy the prescribed performance index. Additionally, this article considers a real scenario where multiple switching channels exist in the network and supposes that the channel switching follows a Markovian switching law with discrete state. Furthermore, by establishing a global Lyapunov functional based on graph theory and employing the canonical Bessel-Legendre inequality method, the final results that are less conservative can be obtained reasonably. Finally, the feasibility, practicability and superiority of the main results are illustrated through three simulations.