Adaptive H∞ Consensus Control for Distributed Parameter Systems of Hyperbolic Type on Directed Graph

Abstract A design method of adaptive H∞ consensus control of multi-agent systems composed of a class of infinite-dimensional systems on directed network graphs, is presented in this paper. The proposed control scheme is derived as a solution of certain H∞ control problems, where the effects of neglected infinite-dimensional modes are regarded as external disturbances to the process. It is shown that the desirable consensus tracking is achieved approximately via the finite dimensional adaptive controller.

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