### 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 |
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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) |
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番号 | 1 PART 1 |

巻 | 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

_{∞}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