POLE ASSIGNMENT OF LINEAR UNCERTAIN SYSTEMS IN A SECTOR VIA A LYAPUNOV-TYPE APPROACH

The problem of designing robust control laws, in performance and in stability, for uncertain linear systems is considered here. Performances are taken into account via root clustering of the closed-loop dynamic matrix in a sector of the complex plane. A synthesis procedure, based on a sufficient condition for quadratic stabilizability and root clustering, i.e., gamma-stabilizability, is given via the way of an auxiliary convex problem. The results are illustrated by a significant example from the literature.