H∞ model reduction of singularly perturbed control systems

Author

Zhong, Ningfan ; Sun, Minhui ; Xue, Lin ; Zou, Yun

Author_Institution

Shandong Univ. of Sci. & Technol., Qingdao, China

fYear

2009

fDate

17-19 June 2009

Firstpage

3854

Lastpage

3859

Abstract

In this paper, the problem of H_infin model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H_infin norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. A numerical example is presented to show the effectiveness of the model reduction method.

Keywords

H^infin control; matrix decomposition; reduced order systems; singularly perturbed systems; H_infin model reduction; H_infin norm bound constraint; associated model reduction error; singularly perturbed control system; slow-fast decomposition; time-scale property; Control system synthesis; Differential equations; Electronic mail; Error correction; Frequency; Linear matrix inequalities; Marine technology; Matrix decomposition; Oceans; Reduced order systems; H∞ model reduction; Singularly perturbed system; two-time-scale;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5191809

Filename

5191809