ROBUST DISTURBANCE ATTENUATION OF A CLASS OF NONLINEAR SINGULARLY PERTURBED SYSTEMS

The problem of disturbance attenuation with internal stability for a class of nonlinear singularly perturbed systems is considered Using H(infinity) approach, a slate feedback controller is designed for the reduced order system such that L(2) gain of this system. to the relative disturbance input is made less than or equal to a prescribed value In this paper. we propose a new theorem to show that the maximum difference, between the performance index of the closed-loop singularly perturbed system, with. the designed slow controller, and the one related to the closed-loop reduced system, will be of order of epsilon The results have been verified both analytically and through simulations.