Frequecy-weighted model reduction via interpolation

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  • 補間による周波数重み付きモデル低次元化
  • ホカン ニヨル シュウハスウ オモミツキ モデル テイジゲンカ

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Abstract

We propose a numerical method of the frequency-weighted model reduction. A model to be reduced (an original model) is a stable SISO discrete-time model which is described by high-order state space equations. We design the reduced-order model so that it can interpolate 1st-and 2nd-order information of the original model at complex frequency points (interpolation points) in the unit circle. The characteristics of the reduced-order model greatly depend on the choice of the interpolation points. The proposed model reduction method is a numerical one which chooses the interpolation points by searching in the unit circle to find the reduced-order model such that L∞-norm of the reduction error is less than a prescribed value. This method has the following features, which shows that it is an effective numerical method of the frequency-weighted model reduction. i) The reduced-order model is guaranteed to be stable. ii) The procedure of finding the reduced-order model is simple and requires relatively a small amount of computation. iii) The order of the reduced-order model can be controlled by choosing the number ssssssof the interpolation points.

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