Adaptive H∞ consensus control for distributed parameter systems of hyperbolic type

Abstract

A design methodology of adaptive H∞ consensus control of multi-agent systems composed of a class of infinite-dimensional systems is provided in this paper. The proposed control scheme is derived as a solution of certain H∞ control problem, where the effects of neglected infinite-dimensional modes and the imperfect knowledge of the leader are regarded as external disturbances to the process. It is shown that the resulting control system is robust to uncertain system parameters and that the desirable consensus tracking is achieved approximately via the adaptation scheme.