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Order estimation for linear time-invariant systems using frequency domain identification methods

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3 Author(s)
Rolain, Y. ; Dept. ELEC/TW, Vrije Univ., Brussels, Belgium ; Schoukens, Johan ; Pintelon, R.

A two-step coarse-fine order estimation technique is proposed to determine the order of the numerator and the denominator polynomials of rational transfer function models for single-input/single-output (SISO) linear time-invariant systems. The coarse order estimation is based on rank detection by verification of the stochastic significance of the singular values of a linearized problem. The fine order estimation is based on a statistical analysis of the maximum likelihood cost function. The method is tested on measurements of low-(4 zeros, 6 poles) and high- (58 poles, 58 zeros) order systems

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Automatic Control, IEEE Transactions on  (Volume:42 ,  Issue: 10 )