Design of PID Controller for Linear Dynamic Continuous Systems Using IGLSM and DE Algorithm

Abstract

Abstract This paper proposes a new computational simple scheme for Model Order Reduction to design a continuous PID controller for higher order linear time invariant continuous systems. The combined advantages of the improved generalized Least squares method (IGLSM) and error minimization by Differential Evolution technique (DE) is employed for both order reduction and controller design. First the denominator of the reduced order model is obtained by improved generalized least squares method and the numerator coefficients are determined by minimizing the integral square error between the transient responses of original and reduced order models using DE technique, pertaining to unit step input. Then a PID controller is designed for reduced order model, based on the minimization of integral square error between the desired response and actual response, pertaining to a unit step input using DE. Finally the designed PID controller is connected to the original higher order continuous system to get the desired specifications. The validity of the proposed method is illustrated through a numerical example.