Control of unstable and integrating time delay systems using time delay approximations

Abstract

The paper deals with design of controllers for time delay systems having integrative or unstable properties. The proposed method is based on two methods of time delay approximations. The control system with two feedback controllers is considered. For design of controllers, the polynomial approach is used. Resulting continuous-time controllers obtained via polynomial equations and the LQ control technique ensure asymptotic tracking of step references as well as step disturbances attenuation. Simulation results are presented to illustrate the proposed method.