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ID 29433
本文ファイル
別タイトル
Robust stabilization for singularly perturbed systems with structured state space uncertainties
著者
水上 孝一
キーワード
特異摂動システム
構造的不確かさ
Bellman-Gronwall lemma
ロバスト安定性
NDC
電気工学
抄録(英)
This paper considers the robust stability of singularly perturbed systems with structured state space uncertainties. By making use of Lyapunov stability criterion and combining with the Lyapunov equations, a new approach for deciding a robust stability for uncertain linear singularly perturbed systems is presented. Based on the assumption that the reduced nominal system is stable, we also derive some sufficient conditions for robust stability. Some analytical methods and the Bellman-Gronwall inequality are used to investigate such sufficient conditions.

It is worth pointing out that in this paper, we do not need to investigate both the slow system and the fast system by using the singularly perturbation method because of the proposed method is very direct. Furthermore, we only assume that the uncertainties are a norm bounded. Therefore, the robust stability condition derived here is less conservative than those reported in the control literatures. An numerical example is given to demonstrate the validity of our new results.
掲載誌名
電気学会論文誌. C, 電子・情報・システム部門誌 : The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society
119巻
5号
開始ページ
593
終了ページ
602
出版年月日
1999-05-01
出版者
電気学会
ISSN
0385-4221
NCID
言語
日本語
NII資源タイプ
学術雑誌論文
広大資料タイプ
学術雑誌論文
DCMIタイプ
text
フォーマット
application/pdf
著者版フラグ
publisher
権利情報
Copyright (c) 1999 電気学会
関連情報URL
部局名
教育学研究科