A Construction of an Inverse Model by Norm Criterion and its Applications

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  • ノルム評価を用いた逆モデルの構成とその応用
  • ノルム ヒョウカ オ モチイタ ギャク モデル ノ コウセイ ト ソノ オウヨ

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Abstract

Two types of studies for inverse systems (or inverse model) are developed by Silverman and by Sain. One is a type of studies to construct the inverse systems which make an identity transfer function matrix of tandem union with original system, the other is a type of studies to construct the inverse systems which make a transfer function matrix integral value of identified matrix. Both require differentiators to be realized. On the other hand, filtered inverse systems which are restricted pass band do not require differentiators. These inverse systems have been proposed by Yoshikawa using transfer function matrix and by Yamada using state space representation. In this paper, a design method of exact inverse model for a given model using norm criterion for differece between the model and plant is proposed. And applying this inverse model to Model Feedback Control System (MFCS), it was shown by the numerical simulations that the adverse effect of disturbances can be reduced and robust stability can be achieved.

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