A modified Krylov subspace model reduction method based on the Chebyshev polynomials

Author

Wang, Xiaolong ; Chen, Haibao ; Jiang, Yaolin

Author_Institution

Sch. of Sci., Xi´´an Jiaotong Univ., Xi´´an, China

fYear

2011

fDate

15-17 July 2011

Firstpage

7123

Lastpage

7126

Abstract

In this paper, we present a modified Krylov subspace model reduction method for linear time invariable systems based on the Chebyshev polynomials. Noting the structure of the Chebyshev polynomial coefficient matrices, which are calculated approximately via the Chebyshev polynomial expansion of the state variable, we employ Krylov subspace to construct decent projection matrices. A reduced order system is produced in two-sided projection framework by combining the time and the frequency domain analysis. Two numerical examples are used to illustrate the efficiency of the method.

Keywords

Chebyshev approximation; linear systems; polynomial matrices; reduced order systems; time-frequency analysis; Chebyshev polynomials; Krylov subspace model reduction; coefficient matrices; decent projection matrices; linear time invariable systems; reduced order system; state variable; time-frequency analysis; Chebyshev approximation; Frequency domain analysis; Mathematical model; Polynomials; Reduced order systems; Krylov sub-space; Linear time invariable systems; model reduction; the Chebyshev polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on

Conference_Location

Hohhot

Print_ISBN

978-1-4244-9436-1

Type

conf

DOI

10.1109/MACE.2011.5988692

Filename

5988692