Open AccessDistributed event‐triggered consensus of general linear multi‐agent systems with quantised measurements
Author(s) -
Yu Pian,
Ding Li,
Liu ZhiWei,
Guan ZhiHong
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.2016.0425
Subject(s) - consensus , logarithm , control theory (sociology) , bounded function , zeno's paradoxes , controller (irrigation) , event (particle physics) , multi agent system , computer science , state (computer science) , function (biology) , mathematics , algorithm , control (management) , mathematical analysis , artificial intelligence , physics , geometry , quantum mechanics , evolutionary biology , agronomy , biology
This studies distributed event‐triggered consensus of general linear multi‐agent systems subject to quantised relative state measurements, where both uniform quantisation and logarithmic quantisation are considered. First, a distributed event‐triggered controller with uniform quantised relative states is proposed, where the controller of each agent is updated by properly defined event trigger function, so that bounded consensus can be achieved in finite‐time and Zeno behaviour is excluded. Then, a computational method is proposed to calculate the continuous states in event trigger function. Thus, continuous communication between neighbouring agents can be avoided. The results are extended to the situation of logarithmic quantisation, and a sufficient condition is proposed to guarantee the complete consensus. Finally, a numerical example is given to verify the theoretical results.