2002年4月
Nyquist stability criterion and positive-realness of sampled-data systems
SYSTEMS & CONTROL LETTERS
- 巻
- 45
- 号
- 4
- 開始ページ
- 283
- 終了ページ
- 291
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/S0167-6911(01)00186-4
- 出版者・発行元
- ELSEVIER SCIENCE BV
In this paper, we first derive a Nyquist stability criterion of sampled-data systems in such a form that reflects the treatment of sampled-data systems with their intersample behavior taken into account. We next analyze the positive-realness of sampled-data systems with D-11 matrix (i.e., the continuous-time direct feedthrough matrix from the disturbance input w to the controlled output z) being 0, and show that such sampled-data systems cannot be made positive-real, unless the relative degree of the system from w to z is 1. We further show that adding some appropriate D-11 leads to positive-real sampled-data systems, and give a method to find such D-11 that is as small as possible. This should be useful for the stability analysis of sampled-data systems with nonlinearities. All these analyses, as well as the small-gain analysis, are compared from the viewpoint of the gain margin analysis. (C) 2001 Elsevier Science B.V. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/S0167-6911(01)00186-4
- ISSN : 0167-6911
- Web of Science ID : WOS:000174600200004