H/sub infinity / control and quadratic stabilization of systems with parameter uncertainty via output feedback

Abstract

The article concerns linear systems which are subject to both time-varying norm-bounded parameter uncertainty and exogenous disturbance. It addresses the robust H/sub infinity / control problem of designing a linear dynamic output feedback controller such that the closed-loop system is quadratically stable and achieves a prescribed level of disturbance attenuation for all admissible parameter uncertainties. It is shown that such a problem is equivalent to a scaled H/sub infinity / control problem.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>