Robust Digital Controllers via H∞ Design for Lurie Type Systems

Abstract

The goal of this paper is to present a new methodology for the design of robust digital controllers for Lurie type systems via the mixed-sensitivity $\mathcal{H}_{\infty}$ technique with parametric uncertainties. For the purpose of comparing results, a well-known controller design approach via linear matrix inequalities with polytopic uncertainties is presented and used. An example is proposed, where  numerical simulations are performed to ensure the effectiveness of the new controller, showing that the new methodology provides better results.