Open AccessConsensus of discrete‐time linear multi‐agent systems with event‐based dynamic feedback scheme
Author(s) -
Zhu Wei,
Pu Huizhu,
Wu Qiuxuan
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0091
Subject(s) - control theory (sociology) , controller (irrigation) , sequence (biology) , scheme (mathematics) , computer science , discrete time and continuous time , state (computer science) , multi agent system , consensus , zeno's paradoxes , event (particle physics) , feedback controller , control (management) , mathematics , algorithm , artificial intelligence , mathematical analysis , statistics , genetics , geometry , physics , quantum mechanics , agronomy , biology
The consensus problem of discrete time multi‐agent systems with linear dynamic models is investigated. To reduce the controller update times and communication among agents, an event‐based dynamic feedback scheme is proposed. For each agent, the controller update instants are determined by a state‐dependent threshold. It is shown that the controller update for each agent is only dependent on its own event times. Some sufficient conditions are obtained for consensus. Observing the current states of its neighbour agents as well as its own state at every discrete‐time is also avoided. Furthermore, certain conditions are given to exclude the Zeno‐like behaviour of the triggering time sequence. Finally, a numerical example is given to illustrate the efficiency of the proposed control strategy.