Robust controller design using H/sub ∞/ loop-shaping and the method of inequalities

Abstract

A new approach to robust controller design is proposed. By using plant-weighting functions as the design parameters, the approach combines the method of inequalities with robust stabilization of normalized coprime factor descriptions of the weighted plant to design explicitly for closed-loop performance and stability robustness. A procedure for the design of robust two degree-of-freedom controllers is presented and is illustrated on a high-purity distillation column example.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>