Balanced truncation preserving poles in a specified disk and it's application to the reduction of H∞ controller

Takao Watanabe; Keiichiro Yasuda; Ryuichi Yokoyama

Balanced truncation preserving poles in a specified disk and it's application to the reduction of H_∞ controller

Takao Watanabe^*, Keiichiro Yasuda, Ryuichi Yokoyama

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

In this paper, a model reduction method for a linear time invariant stable system whose poles are located in a specified disk on the complex left half plane is considered. This method is based on the balanced truncation technique that is often used for reducing a high order stable system to low order stable one. A lot of properties of the balanced truncation technique are maintained. The error bound is evaluated using Hankel singular values of the original system. As one of applications of the method we tackled a reduction problem of H_∞ controller.

Original language	English
Title of host publication	IECON Proceedings (Industrial Electronics Conference)
Editors	Anon
Place of Publication	Los Alamitos, CA, United States
Publisher	IEEE
Pages	1359-1364
Number of pages	6
Volume	3
Publication status	Published - 1996
Event	Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) - Taipei, Taiwan Duration: 1996 Aug 5 → 1996 Aug 10

Other

Other	Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3)
City	Taipei, Taiwan
Period	96/8/5 → 96/8/10

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

Balanced truncation preserving poles in a specified disk and it's application to the reduction of H_∞ controller. / Watanabe, Takao; Yasuda, Keiichiro; Yokoyama, Ryuichi.
IECON Proceedings (Industrial Electronics Conference). ed. / Anon. Vol. 3 Los Alamitos, CA, United States: IEEE, 1996. p. 1359-1364.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Watanabe, T, Yasuda, K & Yokoyama, R 1996, Balanced truncation preserving poles in a specified disk and it's application to the reduction of H_∞ controller. in Anon (ed.), IECON Proceedings (Industrial Electronics Conference). vol. 3, IEEE, Los Alamitos, CA, United States, pp. 1359-1364, Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3), Taipei, Taiwan, 96/8/5.

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author = "Takao Watanabe and Keiichiro Yasuda and Ryuichi Yokoyama",

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language = "English",

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AB - In this paper, a model reduction method for a linear time invariant stable system whose poles are located in a specified disk on the complex left half plane is considered. This method is based on the balanced truncation technique that is often used for reducing a high order stable system to low order stable one. A lot of properties of the balanced truncation technique are maintained. The error bound is evaluated using Hankel singular values of the original system. As one of applications of the method we tackled a reduction problem of H∞ controller.

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Y2 - 5 August 1996 through 10 August 1996

ER -

Balanced truncation preserving poles in a specified disk and it's application to the reduction of H_∞ controller

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