Fixed-Time Leader-Follower Consensus of Networked Nonlinear Systems via Event/Self-Triggered Control

• Published in: IEEE transaction on neural networks and learning systems Vol. 31; no. 11; pp. 5029 - 5037
• Main Authors: Liu, Jian, Zhang, Yanling, Yu, Yao, Sun, Changyin
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.11.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Condition monitoring; Consensus algorithm; Dynamical systems; Error analysis; Fixed-time consensus tracking; Heuristic algorithms; Learning systems; Measurement errors; multi-agent system (MAS); Multiagent systems; Nonlinear control; Nonlinear dynamics; Nonlinear systems; self-triggered control; Topology
• ISSN: 2162-237X; 2162-2388; 2162-2388
• DOI: 10.1109/TNNLS.2019.2957069

This brief addresses the fixed-time event/self-triggered leader-follower consensus problems for networked multi-agent systems subject to nonlinear dynamics. First, we present an event-triggered control strategy to achieve the fixed-time consensus, and a new measurement error is designed to avoid Zeno behavior. Then, two new self-triggered control strategies are presented to avoid continuous triggering condition monitoring. Moreover, under the proposed self-triggered control strategies, a strictly positive minimal triggering interval of each follower is given to exclude Zeno behavior. Compared with the existing fixed-time event-triggered results, we propose two new self-triggered control strategies, and the nonlinear term is more general. Finally, the performances of the consensus tracking algorithms are illustrated by a simulation example.