Output Feedback Stabilization of Uncertain Systems through a Min/Max Problem

Abstract

This paper addresses the problem of output feedback control design for linear uncertain continuous-time systems, where uncertainties are supposed to belong to convex-bounded domains. Necessary and sufficient conditions are provided concerning the existence of a linear static stabilizing output feedback. No extra assumptions such as matching conditions are considered. Based on these conditions, an auxiliary min/max problem can be formulated, allowing us to achieve robust output feedback control using convex programming. These results are illustrated by some examples.