Collaborative Design of Observer and Controller for Singular Systems With Transmission Delay Based on Dynamic Event‐Triggered

ABSTRACT This article investigates the dynamic event‐triggered with communication delay fault estimation and fault‐tolerant control problem of singular systems in network environments under system faults and external disturbances. By considering both the current time and transmission delay output error, a fault diagnosis observer is constructed to estimate the system state and faults simultaneously based on dynamic event‐triggered sampling. On the basis of estimating the system state and fault signals, a fault‐tolerant controller is proposed to compensate for the impact of faults on the system and maintain its performance. Through the collaborative design of observers, controllers, and event‐triggering schemes, the required performance of the faulty system is ensured while reducing the consumption of communication resources. In addition by constructing a new enhanced Lyapunov functional and utilizing linear matrix inequalities and Lyapunov stability theory, the conditions for asymptotic stability of the system are less conservative and easily obtained. Finally, the effectiveness of the proposed method was verified through simulation results of two examples.