期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 66, 期 6, 页码 2739-2745出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2020.3008125
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
资金
- Australian Research Council Discovery Project [DP160103567]
- National Natural Science Foundation of China [61673034]
This article proposes a time-varying function-based preset-time approach for bipartite consensus tracking of second-order multiagent systems with signed directed graphs, including the construction of auxiliaries and controllers, and further develops a preset-time controller for first-order multiagent systems with simplified design. Numerical examples demonstrate the effectiveness of the proposed controllers.
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.
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