H/sub infinity / vs. classical methods in the design of feedback control systems

Abstract

A few reasons for the continued popularity enjoyed by H/sub infinity / theory in the control community are discussed. The mixed sensitivity H/sub infinity / robust control design problem based upon the Glover-Doyle 2-Riccati state-space approach (Doyle, Glover, Khargonekar and Francis, 1989) is considered. Particular emphasis is placed on the choice of suitable weighting functions, design parameters selected to reflect the relative importance of different design goals, upon which often hinges the successful computation of a satisfactory H/sub infinity / optimal controller. The Glover-Doyle algorithm was used to design a H/sub infinity / robust controller for a single-input-single-output system.<>