Bipartite Consensus Tracking for Second-Order Multiagent Systems: A Time-Varying Function-Based Preset-Time Approach

• Published in: IEEE transactions on automatic control Vol. 66; no. 6; pp. 2739 - 2745
• Main Authors: Ning, Boda, Han, Qing-Long, Zuo, Zongyu
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Bipartite consensus tracking; Controllers; Convergence; Directed graphs; Graph theory; Manifolds; Multi-agent systems; Multiagent systems; preset-time consensus; time-varying functions; Time-varying systems; Tracking; Trajectory
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2020.3008125

This article is concerned with bipartite consensus tracking for second-order multiagent systems with signed directed graphs. A time-varying function-based preset-time approach is proposed to realize the convergence in predetermined time. First, a class of time-varying functions with generalized properties are presented. Second, two time-varying function-based auxiliaries and a corresponding manifold are constructed. Under a structurally balanced and strongly connected graph, a time-varying function-based controller considering the neighboring state is proposed to guarantee that the system trajectory is constrained on the manifold such that bipartite consensus tracking is achieved in preset-time. Third, for first-order multiagent systems, a preset-time controller is further developed with simplified design. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed controllers.