H-infinity control of linear singularly perturbed systems with small statedelay

An infinite horizon H-infinity state-feedback control problem for singularl y perturbed linear systems with a small state delay is considered. An asymp totic solution of the hybrid system of Riccati-type algebraic, ordinary dif ferential, and partial differential tial equations with deviating arguments , associated with this problem, is constructed. Based on this asymptotic so lution, conditions for the existence of a solution of the original H-infini ty problem, independent of the singular perturbation parameter, are derived . A simplified controller with parameter-independent gain matrices, solving the original problem for all sufficiently small values of this parameter, is obtained. An illustrative example is presented. (C) 2000 Academic Press.