Open AccessCooperative output regulation of discrete‐time linear time‐delay multi‐agent systems
Author(s) -
Yan Yamin,
Huang Jie
Publication year - 2016
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.2016.0106
Subject(s) - observer (physics) , control theory (sociology) , discrete time and continuous time , linear system , computer science , time complexity , multi agent system , mathematics , graph , control (management) , algorithm , theoretical computer science , mathematical analysis , statistics , artificial intelligence , physics , quantum mechanics
In this paper, we study the cooperative output regulation problem for the discrete linear time‐delay multi‐agent systems by distributed observer approach. In contrast with the same problem for continuous‐time linear time‐delay multi‐agent systems, the problem has two new features. First, in the presence of time‐delay, the regulator equations for discrete‐time linear systems are different from those for continuous‐time linear systems. Second, under the standard assumption on the connectivity of the communication graph, a distributed observer for any continuous‐time linear leader system always exists. However, this is not the case for the discrete counterpart of the distributed observer for the continuous‐time systems. Another type of discrete distributed observer is proposed. It turns out that such an observer always exists under some mild assumptions. Using this result, the authors further present the solvability conditions of the problem by distributed dynamic output feedback control law.