Abstract
An interactor matrix is a lower left triangular polynomial matrix which is regarded as a generalized concept of the relative degree of a scalar transfer function. In other words, the interactor matrix corresponds to the zeros at infinity of a given transfer matrix. The interactor matrix plays an important role in the calculation of the model matching control parameters for a multivariable minimum phase plant using the polynomial algebraic method.
In this paper, we extend the definition of the interactor matrix so that it corresponds to not only the zeros at infinity but also some prespecified finite zeros of a given transfer matrix. It is shown that, if we replace the interactor matrix by the extended interactor matrix, the polynomial algebraic method can be applied to calculate the model matching control parameters for a multivariable nonminimum phase plant without any further modification.
