Model order reduction of continuous time systems using pole clustering and Chebyshev polynomials

This paper presents a method for obtaining stable reduced order model of single-input single-output (SISO) large scale continuous time system using pole clustering and Chebyshev polynomial approximation. The denominator polynomial of the reduced order model is obtained by clustering the poles of original system. The cluster centre is obtained using inverse distance measure (IDM) criterion. The coefficients of numerator are determined by Chebyshev polynomial series. A numerical example is provided to illustrate the proposed method.