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.

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