Controller for unstable time delay system using polynomial method

This paper presents a methodology of the controller design for an unstable time delay system. The proposed method based on the polynomial approach and the pole assignment method yields a class of CT controllers ensuring set-point tracking as well as load disturbance attenuation. The time delay term is approximated by the first order approximation. The control configuration with two feedback controllers is considered. The resulting controllers obtained by polynomial Diophantine equations are stable ones. Three methods of the closed-loop pole assignment are used. Simulation results are presented to illustrate the proposed method.