An Optimized Reduced Order Model Using Interpolation Method and Design of Controller

Abstract

The authors proposed a method for order reduction of linear dynamic systems using the advantages of the Interpolation criterion and Routh method. The denominator polynomial of the reduced order model is determined by using the Routh method while the numerator coefficients are computed by minimizing the integral square error between the original and the reduced system using Interpolation method. The proposed method guarantees stability of the reduced model, if the original high order system is stable system. A PID controller is designed for the high order original systems through its low order model proposed. Some numerical examples were considered to explain the effectiveness of the method.

A New Optimized Reduced Order Model of High-order Discrete Time Systems and Design

“…Hence, it is always desirable to reduce high order system to lower order system. Several order reduction techniques for linear dynamic systems in the frequency domain are available the literature [1][2][3][4]. Further, some methods have also been suggested by combining the features of two different methods [5][6][7].…”

“…A mixed method is proposed for the reduction of high order continuous systems. This method is developed from the method [1,8] available in literature and it overcomes the limitations and drawbacks of some existing methods. In the present paper, Interpolation method is used for obtaining the numerator and dominant pole method is used for obtaining the denominator of the reduced order model.…”