抄録
This paper presents a method to solve the Bezoutian equation for the indirect pole-placement control of single-input single-output linear non-minimum phase systems with unknown constant parameters. The method consists of three steps; (i) the elementary transformation of the Sylvester resultant matrix into the upper triangular form by pivot searches, (ii) the exclusion of the common factors from each rows of the matrix obtained in the step (i) when a pivot becomes too small or zero, and (iii) the calculation of controller parameters from the linear simultaneous equations of which coefficient matrix is the transpose of the matrix obtained by the step (ii). Since the polynominal composed of the common factors is obtained directly from the row elements above the small pivot, the factrizations of the system polynomials are not required. These solusion procedures are illustrated by the numerical examples, and the validity of the proposed method is proved by using the concept of the linear transformation of state variables.
