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

^*この研究の対応する著者

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

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.

本文言語	English
ホスト出版物のタイトル	IECON Proceedings (Industrial Electronics Conference)
編集者	Anon
Place of Publication	Los Alamitos, CA, United States
出版社	IEEE
ページ	1359-1364
ページ数	6
巻	3
出版ステータス	Published - 1996
イベント	Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) - Taipei, Taiwan 継続期間: 1996 8月 5 → 1996 8月 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

電子工学および電気工学

他のファイルとリンク

引用スタイル

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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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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