Design of controllers for integrating and unstable time delay systems using polynomial method

Abstract

The paper presents one methodology of the controller design for integrating and unstable time delay systems. The proposed method based on polynomial approach and LQ control technique yields a class of CT controllers ensuring setpoint tracking as well as load disturbance attenuation. The 2DOF control configuration is considered. The resulting controllers obtained via polynomial Diophantine equations and spectral factorization technique are stable ones. Time delay terms are approximated by a first order Pade approximation and they are incorporated into the control design as a perturbation. Simulation results are presented to illustrate the proposed method.