Robust control of a class of uncertain nonlinear systems

Abstract

This paper considers the robust control of a class of nonlinear systems with real time-varying parameter uncertainty. Interest is focused on the design of linear dynamic output feedback control and two problems are addressed. The first one is the robust stabilization and the other is the problem of robust performance in an H ∞ sense. A technique is proposed for designing stabilizing controllers for both problems by converting them into ‘scaled’ H ∞ control problems which do not involve parameter uncertainty.