ANTI-WINDUP SYNTHESIS USING RICCATI EQUATIONS

摘要

The aim of this paper is to give a novel solution to the full order anti-windup (AW) compensation problem. The main contribution of the procedure proposed is the reduction of the LMI optimisation problem that has generally been solved, to that of solving a single Riccati equation. This yields a bounded-real Riccati equation where the best performance is given by the infinity norm of the open-loop plant. This new formulation is obtained by completing the square and the synthesis method yields a compensator with two free parameters, simplifying the task of the designer to that of choosing appropriate weights. The results presented here are believed to be more intuitive, taking full adavantage of the free parameters and therefore valuable for engineering applications.