Dual LMI approach to H performance limitation analysis of sensitivity and complementary sensitivity functions

研究成果: 著書/レポートタイプへの貢献会議での発言

2 引用 (Scopus)

抜粋

In this paper, we study a dual-LMI-based approach to H performance limitation analysis of SISO systems. The scope includes the analysis of the sensitivity function S = (1 + PK)-1 and the complementary sensitivity function T = (1 + PK)-1 PK where P and K stand for the plant and the controller, respectively. The H performance limitations for these transfer functions are well investigated, and exact closed-form performance bounds are already known for the cases where the plant has the sole unstable zero (i.e., non-minimum phase zero) of degree one or the sole unstable pole of degree one. The goal of this paper is to show that such exact bounds can be reproduced by a dual LMI approach. To this end, we study a Lagrange dual of the standard SDP that is usually used to design H optimal controllers by numerical computation. By characterizing the structure of dual feasible solutions in terms of unstable zeros and unstable poles of the plant, we clarify that we can construct an optimal solution for the dual SDP analytically. It follows that we obtain exact H performance bounds that are consistent with the known results.

元の言語英語
ホスト出版物のタイトル2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control
出版者Institute of Electrical and Electronics Engineers Inc.
ページ1440-1445
ページ数6
ISBN(電子版)9781509007592
DOI
出版物ステータス出版済み - 10 19 2016
イベント2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, アルゼンチン
継続期間: 9 19 20169 22 2016

出版物シリーズ

名前Proceedings of the IEEE International Symposium on Computer-Aided Control System Design
2016-October
ISSN(印刷物)2165-3011
ISSN(電子版)2165-302X

その他

その他2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016
アルゼンチン
Buenos Aires
期間9/19/169/22/16

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Control and Optimization

これを引用

Ebihara, Y., Waki, H., & Sebe, N. (2016). Dual LMI approach to H performance limitation analysis of sensitivity and complementary sensitivity functions. : 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control (pp. 1440-1445). [7602558] (Proceedings of the IEEE International Symposium on Computer-Aided Control System Design; 巻数 2016-October). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CACSD.2016.7602558