H2 model reduction using an algebraic approach

This paper proposes a solution approach to the H 2 model reduction problem based on an algebraic method called Gröbner bases. In the proposed approach, a necessary optimality condition is reduced to a set of algebraic equations in terms of the coefficients of the characteristic polynomial of the ap...

Full description

Saved in:
Bibliographic Details
Main Author: Kanno, Masaaki
Format: Conference Proceeding
Language:English
Subjects:
Approximation methods
Gröbner bases
H2-norm
linear dynamical systems
Linear systems
Mathematical model
Polynomials
Reduced order systems
Shape
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes a solution approach to the H 2 model reduction problem based on an algebraic method called Gröbner bases. In the proposed approach, a necessary optimality condition is reduced to a set of algebraic equations in terms of the coefficients of the characteristic polynomial of the approximant and an axillary polynomial. Then, all the solutions yielding candidate approximants are computed by means of Gröbner bases, and the optimal approximant which is a real stable system minimizing the H 2 error is chosen from all the candidates. Numerical examples are given to demonstrate the suggested approach.