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

• 成果类型: Article
• 署名作者: Ning, Boda; Han, Qing-Long; Zuo, Zongyu
• 署名单位: Swinburne University of Technology; Swinburne University of Technology; Beihang University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3008125
• 发表日期: 2021
• 页码: 2739-2745
• 关键词: Multi-agent systems; Time-varying systems; MANIFOLDS; Directed graphs; CONVERGENCE; trajectory; Bipartite consensus tracking; multiagent systems; preset-time consensus; time-varying functions

摘要

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.