Leader-Follower finite-time consensus of multiagent systems with nonlinear dynamics by intermittent protocol

• Published in: Journal of the Franklin Institute Vol. 359; no. 6; pp. 2646 - 2662
• Main Authors: He, Shengchao, Liu, Xiangdong, Lu, Pingli, Liu, Haikuo, Du, Changkun
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01-04-2022; Elsevier Science Ltd
• Subjects: Continuity (mathematics); Dynamical systems; Graph theory; Multiagent systems; Nonlinear dynamics; Nonlinear equations; Nonlinear systems; Numerical analysis; Topology
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2022.01.031

This paper deals with the leader-follower finite-time consensus problem for multiagent systems with nonlinear dynamics via intermittent protocol. The topological structure of the followers is undirected or balanced digraph. Different from most existing works concerning nonlinear dynamics (satisfies Lipschitz continuity), the nonlinear dynamics of each agent satisfies Hölder continuity in this paper. In light of the finite-time control technique, the intermittent control protocol is designed to reach accurate leader-follower finite-time consensus. It is justified that the leader-follower finite-time consensus can be realized if the length of communication is greater than a critical value by using limit theory. Finally, two numerical examples are exhibited to validate the effectiveness of the proposed scheme.