Abstract
A class of uncertain dynamical systems, which can be decomposed into two coupled subsystems by means of a singular perturbation parameter ?, is considered. The dimension of the output space is assumed to coincide with that of the reduced-order system (?=0) state space. An output feedback strategy is first designed which guarantees that the feedback-controlled reduced-order system (?=0) possesses a desired stability property P (taken here to be that of global uniform ultimate boundedness). The basic question then resolved is that of robustness of P with respect to singular perturbation. A value ?*≫0 is determined such that, under output feedback control, the full-order system (?≫0) possesses property P for all values ? (0,?*).
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