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)


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.

ホスト出版物のタイトルProceedings of the 18th IFAC World Congress
出版者IFAC Secretariat
エディション1 PART 1
出版物ステータス出版済み - 1 1 2011


名前IFAC Proceedings Volumes (IFAC-PapersOnline)
番号1 PART 1


All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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.