Open AccessFinite‐time distributed global optimal control for linear time‐varying multi‐agent systems: a dynamic output‐feedback perspective
Author(s) -
Ebrahimi Dehshalie Maziar,
Menhaj Mohammad Bagher,
Ghasemi Ali,
Karrari Mehdi
Publication year - 2018
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.2017.0939
Subject(s) - control theory (sociology) , optimal control , multi agent system , exponential stability , state (computer science) , stability (learning theory) , mathematics , computer science , control (management) , mathematical optimization , nonlinear system , algorithm , artificial intelligence , physics , quantum mechanics , machine learning
This study presents a systematic procedure to solve the problem of finite‐time distributed global optimal control for the leaderless and leader‐follower homogeneous multi‐agent systems (MASs). Each agent's dynamics is given in general form of continuous‐time linear time‐varying (LTV) systems. The communication network among the agents is also assumed to be undirected and directed under fixed topology. First, based on asymptotic stability principle, inverse optimal results of general LTV systems are constructed. Second, the necessary and sufficient conditions are given for the existence of the distributed optimal state feedback and optimal dynamic output feedback control that solves a global optimal control problem for MASs. Then, the sufficient condition for finite‐time stability of both the state and the output feedback problems for MASs are stated. Finally, some numerical example results are provided to illustrate the effectiveness and applicability of the proposed scheme.