Computation of Normalized Coprime Factorizations of Rational Matrices
نویسنده
چکیده
We propose a new computational approach based on descriptor state space algorithms for computing normalized coprime factorizations of arbitrary rational matrices. The proposed approach applies to both continuousand discrete-time rational transfer-function matrices and shows that each rational matrix possesses a normalized coprime factorization with proper factors. The new method is conceptually very simple, essentially reducing the original factorization problem to one for proper systems. The main computation consists in solving an appropriate generalized algebraic Riccati equation.
منابع مشابه
A note on computing range space bases of rational matrices
We discuss computational procedures based on descriptor state-space realizations to compute proper range space bases of rational matrices. The main computation is the orthogonal reduction of the system matrix pencil to a special Kronecker-like form, which allows to extract a full column rank factor, whose columns form a proper rational basis of the range space. The computation of several types ...
متن کاملRecursive computation of coprime factorizations
We propose general computational procedures based on descriptor state-space realizations to compute coprime factorizations of rational matrices with minimum degree denominators. Enhanced recursive pole dislocation techniques are developed, which allow to successively place all poles of the factors into a given “good” domain of the complex plane. The resulting McMillan degree of the denominator ...
متن کاملComputation of Coprime Factorizations of Rational Matrices
We propose a numerically reliable state space algorithm for computing coprime factorizations of rational matrices with factors having poles in a given stability domain. The new algorithm is based on a recursive generalized Schur technique for poles dislocation by means of proportional-derivative state feedback. The proposed algorithm is generally applicable regardless the underlying descriptor ...
متن کاملRational and Polynomial Matrices
where λ = s or λ = z for a continuousor discrete-time realization, respectively. It is widely accepted that most numerical operations on rational or polynomial matrices are best done by manipulating the matrices of the corresponding descriptor system representations. Many operations on standard matrices (such as finding the rank, determinant, inverse or generalized inverses, nullspace) or the s...
متن کاملGeneralized Schur Methods to Compute Coprime Factorizations of Rational Matrices
Numerically reliable state space algorithms are proposed for computing the following stable coprime factorizations of rational matrices factorizations with least order denominators factorizations with inner denominators and factorizations with proper stable factors The new algorithms are based on a recursive generalized Schur algorithm for pole assignment They are generally applicable regardles...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998