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

• Published in: IEEE transactions on signal and information processing over networks Vol. 9; pp. 1 - 12
• Main Authors: Li, Shanglin, Chen, Yangzhou, Liu, Peter Xiaoping
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.01.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems design; Controllers; Estimation; Fault estimation; Fault tolerance; Fault tolerant systems; fault-tolerant tracking control; Iron; Iterative algorithms; Iterative methods; Linear matrix inequalities; Mathematical analysis; Multi-agent systems; Multiagent systems; Nonlinear control; Nonlinear systems; Nonlinearity; Observers; periodic event-triggered mechanism; Security; Tracking control
• ISSN: 2373-776X; 2373-7778
• DOI: 10.1109/TSIPN.2023.3264992

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.