摘要
A sufficient condition is derived for the existence of the optimal μ controllers by showing the equivalence between the optimal μ problem and the weighted H2-optimization problem. The weighted H2-optimization technique used in linear quadratic Gaussian design with loop transfer recovery is exploited to generate a sequence of H2 controllers converging to the optimal μ controller. The resulting optimal μ controller not only has the inherent robust-performance property resulting from the μ 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 H2-based μ-synthesis approach is comparable to the conventional H∞-based μ-synthesis technique (D-K iteration) but with reduced computational efforts.
| 原文 | English |
|---|---|
| 頁（從 - 到） | 886-892 |
| 頁數 | 7 |
| 期刊 | Journal of Guidance, Control, and Dynamics |
| 卷 | 19 |
| 發行號 | 4 |
| DOIs | |
| 出版狀態 | Published - 1996 一月 1 |
指紋
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Electrical and Electronic Engineering
- Applied Mathematics
引用此文
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μ Synthesis using linear quadratic gaussian controllers. / Yang, Ciann-Dong; Chang, Chia Yuan.
於: Journal of Guidance, Control, and Dynamics, 卷 19, 編號 4, 01.01.1996, p. 886-892.研究成果: Article
TY - JOUR
T1 - μ Synthesis using linear quadratic gaussian controllers
AU - Yang, Ciann-Dong
AU - Chang, Chia Yuan
PY - 1996/1/1
Y1 - 1996/1/1
N2 - A sufficient condition is derived for the existence of the optimal μ controllers by showing the equivalence between the optimal μ problem and the weighted H2-optimization problem. The weighted H2-optimization technique used in linear quadratic Gaussian design with loop transfer recovery is exploited to generate a sequence of H2 controllers converging to the optimal μ controller. The resulting optimal μ controller not only has the inherent robust-performance property resulting from the μ 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 H2-based μ-synthesis approach is comparable to the conventional H∞-based μ-synthesis technique (D-K iteration) but with reduced computational efforts.
AB - A sufficient condition is derived for the existence of the optimal μ controllers by showing the equivalence between the optimal μ problem and the weighted H2-optimization problem. The weighted H2-optimization technique used in linear quadratic Gaussian design with loop transfer recovery is exploited to generate a sequence of H2 controllers converging to the optimal μ controller. The resulting optimal μ controller not only has the inherent robust-performance property resulting from the μ 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 H2-based μ-synthesis approach is comparable to the conventional H∞-based μ-synthesis technique (D-K iteration) but with reduced computational efforts.
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UR - http://www.scopus.com/inward/citedby.url?scp=0030195573&partnerID=8YFLogxK
U2 - 10.2514/3.21714
DO - 10.2514/3.21714
M3 - Article
AN - SCOPUS:0030195573
VL - 19
SP - 886
EP - 892
JO - Journal of Guidance, Control, and Dynamics
JF - Journal of Guidance, Control, and Dynamics
SN - 0731-5090
IS - 4
ER -