Linear Systems

3

Non-Fragile State Feedback Control with Norm-Bounded Gain Uncertainty

3.1    Introduction

This chapter is devoted to the study of the problem of non-fragile guaranteed cost control for discrete-time linear systems under state feedback controller gain uncertainties. It is well known that even small perturbations in controller parameters could destabilize the closed-loop system [129]. Keel and Bhattacharyya [77] have also shown by a number of examples that the controllers designed by using weighted H_∞, μ and l₁ synthesis techniques may be very sensitive, or fragile, with respect to errors in the controller coefficients, although they are robust with respect to plant uncertainty. Therefore, it is important to design a controller for a given ...