Agreement coordination of fractional-order multi-agent systems with reaction-diffusion and persistent disturbances

Agreement coordination problem of fractional-order multi-agent systems (FOMASs) with reaction-diffusion term and unknown persistent external disturbances is mainly investigated in this paper. Firstly, based on the output information, some estimators are designed to obtain the information of all agents and unknown persistent external disturbances, and a novel distributed control protocol is designed. And then, the convergence analysis of the closed-loop system is finished by using the theories of algebraic graph and Mittag-Leffler stability, and some sufficient consensus matrix inequalities conditions are deduced. Finally, the effectiveness of the obtained results are verified by several simulations. (C) 2019 Elsevier B.V. All rights reserved.