A Constructive Approach to Approximate Linear Periodic Systems

Author

Liu, Huaping ; Ho, Daniel W C ; Sun, Fuchun

Author_Institution

Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing

Volume

52

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

541

Lastpage

546

Abstract

In this note, the problem on approximating a linear periodic system with period N by a periodic model with period M(0<M<N) is revisited. Different from the existing results, the proposed method is based on state-space representations and the approximation performance is evaluated using H_infin norms. Under this framework, both finite impulse response (FIR) and infinite impulse response (IIR) periodic systems can be efficiently approximated by using a constructive linear matrix inequality approach. Finally, some numerical examples are given to illustrate the effectiveness of the proposed approach

Keywords

H^infin control; approximation theory; linear matrix inequalities; linear systems; periodic control; state-space methods; time-varying systems; H_infin norm; approximate linear periodic system; finite impulse response system; infinite impulse response system; linear matrix inequality; state-space representation; Automatic control; Difference equations; Filter bank; Filtering; Finite impulse response filter; Linear approximation; Linear matrix inequalities; Sun; Symmetric matrices; Time varying systems; Approximation; finite-impulse response (FIR); infinite-impulse response (IIR); linear matrix inequality (LMI); periodic systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2007.892377

Filename

4132915