Abstract

This article studies the synchronization problem of a class of nonlinear leader-following systems with multiple constraints, where each follower not only has un-modeled dynamics but also is subject to unknown higher input power and sector nonlinearity. Utilizing the unknown function approximation capability of fuzzy logic systems, a novel fuzzy adaptive distributed control strategy is proposed. Comparing with the existing results, multiple constraints are also considered simultaneously in the strategy. Furthermore, some shortcomings in the related literatures of MASs have been overcome. In addition, the assumption about system uncertainties have been relaxed or removed. Based on Lyapunov stability theory and graph theory, it is proven that each follower can asymptotically synchronize to the leader and the synchronization errors converge the origin’s neighborhood. Finally, to verify the effectiveness of the developed control strategy, simulation results of an example are given.

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