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Robust output consensus for a class of fractional‐order interval multi‐agent systems
Author(s) -
Wang Liming,
Zhang Guoshan
Publication year - 2020
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.2069
Subject(s) - mathematics , matrix (chemical analysis) , state transition matrix , control theory (sociology) , nonlinear system , linear matrix inequality , symmetric matrix , network topology , interval (graph theory) , mathematical optimization , computer science , eigenvalues and eigenvectors , combinatorics , materials science , physics , control (management) , quantum mechanics , artificial intelligence , composite material , operating system
This paper is devoted to the robust output consensus problem of fractional‐order interval multi‐agent systems (FOIMASs) with fixed undirected topologies, where the fractional order, the system matrix, and the input matrix are perturbed simultaneously, and there exist linear coupling relationships among the fractional order and the perturbations of the system matrix and the input matrix. According to the information of the agents' neighbors, we design a distributed output feedback protocol. A sufficient condition guaranteeing the robust output consensus of FOIMASs is derived in terms of nonlinear matrix inequalities. By the matrix transformation and the singular value decomposition, the nonlinear matrix inequalities are transformed into linear matrix inequalities, and the output feedback gain matrix is obtained. A numerical simulation example is presented to demonstrate the effectiveness of the proposed method.