Dynamic Event-Triggered Containment Control for T–S Fuzzy Multiagent Systems With Actuator Faults

Abstract

This article investigates the output containment problem for nonlinear heterogeneous multiagent systems subjected to actuator faults. The dynamics of followers are modeled by Takagi–Sugeno (T–S) fuzzy systems, these models are effective in handling a wide range of nonlinearities. First, to address the challenge of limited information interaction between followers and leaders, a distributed compensator is developed to estimate the convex hull information derived from the leaders' states. Furthermore, a dynamic event-triggered mechanism combined with a sampler is employed to eliminate unnecessary continuous transmission, thereby reducing the communication burden and saving energy. Subsequently, fuzzy controllers are devised for the followers based on the output information and the states of compensators, ensuring the output containment of the T–S fuzzy system and preventing the propagation of actuator faults. The Lyapunov stability theory is utilized to derive rigorous convergence conditions for the system, and then, gain matrices are obtained in terms of linear matrix inequalities. A numerical simulation and a tunnel diode network circuit model simulation are provided to demonstrate the effectiveness and superiority of the proposed controller.