利用广义内作用矩阵对多变量非最小相位系统进行最小相位/全域通分解(英文)

Minimum-Phase/All-Pass Factorization of Nonminimum Phase Systems Using Generalized Interactor Matrix

对于任意可检测和左可逆多变量非最小相位系统 ,给出了其最小相位 /全域通分解的显示解 .本文的结果表明全域通因子是系统的广义内作用矩阵的逆矩阵 .因此 ,直接求解系统的广义内作用矩阵便可得到上述频域分解的显示表达式 .由于本文的方法是频域法 ,它可以成为对现有时域法的补充 .

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.