Fault Estimation and Fault-Tolerant Tracking Control for Multi-Agent Systems with Lipschitz Nonlinearities Using Double Periodic Event-Triggered Mechanism

This paper is concerned with the problem of fault estimation and fault-tolerant consensus tracking control for Lipschitz nonlinear multi-agent systems subject to external disturbance. In order to improve the communication efficiency of main network channels, two periodic event-triggered mechanisms are developed between sensor to observer and observer to controller, respectively. An event-triggered fault observer is developed to estimate existing faults and the estimated result is used for the design of a fault-tolerant controller to ensure system security. According to Lyapunov-Krasovskii theorem and the free-weighting matrix technique, the model gains of the observer and the controller can be obtained by solving a series of bilinear matrix inequalities (BMIs). To address the difficulty associated with BMIs, two iterative algorithms based on linear matrix inequalities (LMIs) are developed. Finally, a simulation example of satellite vehicles is given to illustrate the effectiveness of the obtained theoretical results.