Non-fragile dynamic output feedback H<inf>∞</inf> control for continuous-time systems with controller coefficient sensitivity consideration

Abstract

This paper presents a study on the problem of non-fragile dynamic output feedback H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller design for linear continuous-time systems with controller coefficient sensitivity consideration. The controller to be designed is assumed to be with multiplicative gain variations, which are resulted from controller implementations. A notion of structured vertex separator is employed to approach this problem, and exploited to develop sufficient conditions for the non-fragile H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller design via a two-step procedure. The resulting designs guarantee that the closed-loop system is asymptotically stable and the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance from the disturbance to the regulated output is less than a prescribed level. A numerical example is given to illustrate the design methods.