Rational Interpolation and State Variable Realizations

نویسنده

  • A. C. Antoulas
چکیده

ABSTILACT: The problem is considered of passing from interpolation data for a real rational trarlsfer function matrix to a ~ninintal skate variable realization of the transfer function matrix. The tool is a Loewner matrix, which is a generalization of the standard Mankel matrix of linear s y s tetn realization theory, and which possesses a decompositioil into a product of generalized observability and controllability matrices.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Balanced Realization of Lossless Systems - Schur Parameters, Canonical Forms and Applications

Lossless systems have many applications in systems and control theory, including signal processing, filter design, system identification, system approximation, and the parameterization of classes of linear systems. In this survey paper we address the issue of parameterization of the space of rational lossless matrix functions by successfully combining two approaches. The first approach proceeds...

متن کامل

On the Problem of Stable Rational Interpolation

Aspects of the stability issue in connection with rational interpolation are investigated. In particular, it is shown that unconstrained interpolation of a given set of points together with an associated mirror-image set of points yields a one-parameter family of stable interpolating functions. As an application, it is also shown that if a certain number of Markov parameters are given, by appro...

متن کامل

An Optimal G^2-Hermite Interpolation by Rational Cubic Bézier Curves

In this paper, we study a geometric G^2 Hermite interpolation by planar rational cubic Bézier curves. Two data points, two tangent vectors and two signed curvatures interpolated per each rational segment. We give the necessary and the sufficient intrinsic geometric conditions for two C^2 parametric curves to be connected with G2 continuity. Locally, the free parameters w...

متن کامل

Realization theory for rational systems: Minimal rational realizations

The study of realizations of response maps is a topic of control and system theory. Realization theory is used in system identification and control synthesis. A minimal rational realization of a given response map p is a rational realization of p such that the dimension of its state space equals the transcendence degree of the observation field of p. We relate minimality of rational realization...

متن کامل

On the Geometry of the Hermite – Fejér Interpolation Problem through Conservative Realizations

In this paper, we give state space realizations for the classical recursive solutions of operator-valued Carathéodory, Nevanlinna – Pick and Hermite – Fejér interpolation problems. These realizations are special in the sense that they satisfy an energy balance law; hence they are called conservative. Observability, controllability and minimality (including the property known as “simplicity”) of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004