Robust Regulation of a Class of Nonlinear Singularly Perturbed Systems

Authors:	Amjadifard Roya, Tarbiat Modarres University, Iran (Islamic Republic of) Yazdanpanah Mohammad J., University of Tehran, Iran (Islamic Republic of) Beheshti Mohammad T. H., Tarbiat Modarres University, Iran (Islamic Republic of)
Topic:	2.5 Robust Control
Session:	Robust Controller Synthesis I
Keywords:	Nonlinear systems, H-infinity control, Singular perturbation method.

Abstract

In this paper, robust regulation of a class of nonlinear singularly perturbed systems, via nonlinear approach is considered. Under appropriate assumptions, it is shown through two new theorems that the existence of a positive definite solution for the Hamilton-Jacobi-Isaacs inequality related to the problem of disturbance attenuation for the main singularly perturbed system, can be related to the existence of a solution of a (simpler) Hamilton-Jacobi-Isaacs inequality arising in the problem of disturbance attenuation for the reduced-order system.