### 摘要

In this paper, synthesis of optimal H_{∞} controllers is formulated as a loop-shaping problem where the desired closed-loop shape to be pursued is a flat frequency response of the largest singular value. Weighted H_{2} optimization technique used in LQG/LTR is exploited in the loop shaping procedures to generate a sequence of H_{2} controllers converging to the optimal H_{∞} controller. The resulting optimal H_{∞} controller not only has the inherent robust property due to H_{∞} criterion but also possesses the nice H_{2} control structure, being easy to compute and implement. A flight control example is demonstrated to show that the numerical accuracy of the present LQG-based H_{∞} synthesis is comparable to the conventional H_{∞} approach, i.e., γ-iteration.

原文 | English |
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主出版物標題 | Proceedings of the IEEE Conference on Decision and Control |

編輯 | Anon |

出版狀態 | Published - 1996 十二月 1 |

事件 | Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn 持續時間: 1996 十二月 11 → 1996 十二月 13 |

### 出版系列

名字 | Proceedings of the IEEE Conference on Decision and Control |
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卷 | 1 |

ISSN（列印） | 0191-2216 |

### Other

Other | Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) |
---|---|

城市 | Kobe, Jpn |

期間 | 96-12-11 → 96-12-13 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

### 引用此文

_{∞}controllers via LQG-based loop shaping design. 於 Anon (編輯),

*Proceedings of the IEEE Conference on Decision and Control*(Proceedings of the IEEE Conference on Decision and Control; 卷 1).

}

_{∞}controllers via LQG-based loop shaping design. 於 Anon (編輯),

*Proceedings of the IEEE Conference on Decision and Control.*Proceedings of the IEEE Conference on Decision and Control, 卷 1, Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4), Kobe, Jpn, 96-12-11.

**Synthesis of optimal H _{∞} controllers via LQG-based loop shaping design.** / Yang, Ciann Dong; Chang, Chia Yuan; Sun, Yun Ping.

研究成果: Chapter

TY - CHAP

T1 - Synthesis of optimal H∞ controllers via LQG-based loop shaping design

AU - Yang, Ciann Dong

AU - Chang, Chia Yuan

AU - Sun, Yun Ping

PY - 1996/12/1

Y1 - 1996/12/1

N2 - In this paper, synthesis of optimal H∞ controllers is formulated as a loop-shaping problem where the desired closed-loop shape to be pursued is a flat frequency response of the largest singular value. Weighted H2 optimization technique used in LQG/LTR is exploited in the loop shaping procedures to generate a sequence of H2 controllers converging to the optimal H∞ controller. The resulting optimal H∞ controller not only has the inherent robust property due to H∞ criterion but also possesses the nice H2 control structure, being easy to compute and implement. A flight control example is demonstrated to show that the numerical accuracy of the present LQG-based H∞ synthesis is comparable to the conventional H∞ approach, i.e., γ-iteration.

AB - In this paper, synthesis of optimal H∞ controllers is formulated as a loop-shaping problem where the desired closed-loop shape to be pursued is a flat frequency response of the largest singular value. Weighted H2 optimization technique used in LQG/LTR is exploited in the loop shaping procedures to generate a sequence of H2 controllers converging to the optimal H∞ controller. The resulting optimal H∞ controller not only has the inherent robust property due to H∞ criterion but also possesses the nice H2 control structure, being easy to compute and implement. A flight control example is demonstrated to show that the numerical accuracy of the present LQG-based H∞ synthesis is comparable to the conventional H∞ approach, i.e., γ-iteration.

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UR - http://www.scopus.com/inward/citedby.url?scp=0030396679&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0030396679

T3 - Proceedings of the IEEE Conference on Decision and Control

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

ER -

_{∞}controllers via LQG-based loop shaping design. 於 Anon, 編輯, Proceedings of the IEEE Conference on Decision and Control. 1996. (Proceedings of the IEEE Conference on Decision and Control).