Some conditions for convexifying static H control problems

Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier

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 show that a set of static controllers satisfying a certain level of H performance becomes convex when the underlying generalized plant satisfy several structural conditions. More precisely, we characterize such static H controllers by an LMI with the controller parameters being kept directly as decision variables. The conditions on the generalized plant are not too strict as illustrated by the fact that a sort of mixed sensitivity problems indeed satisfies these conditions. In addition, for the generalized plant of interest, we prove that full-order dynamical H controllers can be characterized by an LMI with simple change of variables. In stark contrast to known LMI formulations, the change of variables does not involve coefficient matrices of the generalized plant. This property is promising when dealing with a whole variety of robust control problems. As an illustration, the real μ synthesis problem is discussed.

元の言語英語
ホスト出版物のタイトルProceedings of the 18th IFAC World Congress
出版者IFAC Secretariat
ページ9248-9253
ページ数6
エディション1 PART 1
ISBN(印刷物)9783902661937
DOI
出版物ステータス出版済み - 1 1 2011
外部発表Yes

出版物シリーズ

名前IFAC Proceedings Volumes (IFAC-PapersOnline)
番号1 PART 1
44
ISSN(印刷物)1474-6670

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

これを引用

Ebihara, Y., Peaucelle, D., & Arzelier, D. (2011). Some conditions for convexifying static H control problems. : Proceedings of the 18th IFAC World Congress (1 PART 1 版, pp. 9248-9253). (IFAC Proceedings Volumes (IFAC-PapersOnline); 巻数 44, 番号 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.00748