Tracking and disturbance attenuation for time delay systems in a robust sense

Abstract

The paper is aimed to the design of linear continuous controllers. Final controllers ensure the internal stability, asymptotic tracking, disturbance rejection and attenuation. The control synthesis is based on general solutions of Diophantine equations in the ring of proper and Hurwitz stable rational functions. The control objectives are obtained through the divisibility conditions in this ring. Robustness of proposed algorithms can be studied through the infinity norm and sensitivity function. Several approximations of time delay terms and two control structures of controlled loop were considered. The methodology brings a scalar parameter for tuning and influencing of controller parameters. Copyright (C) 2001 IFAC.