2 次元分子分離形伝達関数の実現法

概要

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This paper proposes a method to construct the state-space models from 2-D transfer function with separable numerator. The transfer function is rational and the numerator is expressed by the product of two polynomials consisting of one variable. Also the model to be realized is the most general Roesser's model whose size is equal to the degree of denominator. The procedures proposed here can be performed by the following steps. First, we obtain the system matrix in realization of 2-D all-pole transfer function. With this procedure, the system matrix can always be determined from the only coefficients of the denominator. Next, we determine the input matrix and output one from the given coefficients of numerator. Therefore the models obtained here have some forms, which are related to the similarity transformation discussed in all-pole transfer function. The present method has an advantage that the algorithm is very simple. Some examples are given to illustrate the usefulness of this approach.
東海大学の論文