|
控制理论与应用 2002
Minimum-Phase/All-Pass Factorization of Nonminimum Phase Systems Using Generalized Interactor Matrix
|
Abstract:
This paper is intended to give an explicit expression for minimum-phase/all-pass factorization of any detectable and left invertible multivariable nonminimum phase system. We show that the all-pass part is the inverse of a generalized interactor matrix which corresponds to the unstable invariant zeros of the system. Thus the explicit expression is obtained by directly calculating the generalized interactor matrices. Since our method is a transfer function approach, it can be considered as the complementary to existing state_space approaches.