Characterization of robust controllers

Abstract

This paper presents a procedure for designing a robust controller which is able to stabilize a multivariable system with interval uncertainties in the system parameters. The uncertain parameters are assumed to lie within known intervals. The fundamental idea behind the procedure is to characterize the set of robust controllers as a convex set by the new matrix inequalities result. A suitable controller can then be chosen by means of an optimization algorithm. The controller thus chosen will be able to ensure that the closed-loop matrix lies within "desired" intervals for all the prescribed interval uncertainties in the system parameters. © 1989.