μ Synthesis using linear quadratic gaussian controllers

Ciann-Dong Yang, Chia Yuan Chang

研究成果: Article

2 引文 (Scopus)

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
19
發行號4
DOIs
出版狀態Published - 1996 一月 1

指紋

controllers
Synthesis
Controller
Controllers
synthesis
loop transfer recovery
flight
flight control
Flight Control
optimization
Numerical Accuracy
Robust Performance
Optimization Techniques
iteration
equivalence
Recovery
Equivalence
Optimization Problem
Iteration
Sufficient Conditions

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

@article{2cbaf6f9fb5f4fbb891bda2ce526dac3,
title = "μ Synthesis using linear quadratic gaussian controllers",
abstract = "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.",
author = "Ciann-Dong Yang and Chang, {Chia Yuan}",
year = "1996",
month = "1",
day = "1",
doi = "10.2514/3.21714",
language = "English",
volume = "19",
pages = "886--892",
journal = "Journal of Guidance, Control, and Dynamics",
issn = "0731-5090",
publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",
number = "4",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0030195573&partnerID=8YFLogxK

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 -