STABILIZING FEEDBACK CONTROLS FOR A CLASS OF SINGULARLY PERTURBED, NONLINEAR, UNCERTAIN, TIME-DELAY SYSTEMS

摘要

A class of nonlinear controllers is presented which guarantees the stability property of global uniform ultimate boundedness with respect to some known set for a class of nonlinear, singularly perturbed systems, with discrete and distributed delays, in the presence of uncertainty, provided the singular perturbation parameter is small enough. The uncertainty acting on the systems, which may be time-, state-, delayed state-, and/or input-dependent, are modelled as additive nonlinear perturbations influencing a known nominal, singularly perturbed, time-delay system of the retarded type. Each feedback controller is designed using information based mainly on a nonlinear, affine in the control, 'reduced-order' system. A 'matched' uncertainty structural condition for the 'reduced-order' system is not presumed in this paper.