Input Design Admitting Non-fragile Robust Control by Convex Optimization

Abstract

This paper presents a new non-fragile robust control design method for systems affected by ellipsoidal parametric uncertainty in terms of solutions to a set of Linear Matrix Inequalities. A polynomial method is employed to design a fixed-order controller that guarantees that all the closed-loop poles reside within a given region of the complex plane. The controller to be designed is assumed to have polytopic uncertainty. Then, this method is integrated to the input design problem in system identification. This means that ellipsoidal parametric uncertainty resulting from model identification using this input spectrum will be shaped such that the largest possible polytopic uncertainty in controller parameters can be gained.