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Design and Analysis of Distributed Optimal Controller for Identical Multiagent Systems
Author(s) -
Zhang Fangfang,
Wang Wei,
Zhang Huanshui
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.888
Subject(s) - control theory (sociology) , matrix (chemical analysis) , controller (irrigation) , graph , function (biology) , state (computer science) , graph theory , optimal control , exponential stability , computer science , directed graph , stability (learning theory) , multi agent system , mathematics , mathematical optimization , control (management) , algorithm , theoretical computer science , combinatorics , materials science , physics , nonlinear system , machine learning , agronomy , composite material , artificial intelligence , evolutionary biology , quantum mechanics , biology
Abstract This paper studies the optimal distributed control design problem for both continuous‐time and discrete‐time systems. We consider an identical decoupled dynamical system and a coupled performance index which is described through the L aplacian matrix. It is showed that the optimal feedback gain matrix corresponds to a complete undirected graph for the L aplacian matrix in the cost function. We aim to get the distributed controllers that only use the information of its state and the states of its neighbors. The existence conditions of the optimal distributed control for special cost function are given and the asymptotic stability of the system is discussed. Examples are given to show the efficiency of the proposed results.