Control of Parametrically-Dependent Linear Systems: A Single Quadratic Lyapunov Approach

Abstract

In this paper two parameter-dependent control problems for linear, parametrically varying (LPV) systems are presented. Sufficient conditions for exponential stability and an induced L <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> -norm performance objective are given. The resulting synthesis problems are reformulated into convex optimization problems which can be solved with efficient new algorithms.