μ Synthesis using linear quadratic gaussian controllers

Ciann-Dong Yang, Chia Yuan Chang

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)886-892
Number of pages7
JournalJournal of Guidance, Control, and Dynamics
Volume19
Issue number4
DOIs
Publication statusPublished - 1996 Jan 1

Fingerprint

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

Cite this

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μ Synthesis using linear quadratic gaussian controllers. / Yang, Ciann-Dong; Chang, Chia Yuan.

In: Journal of Guidance, Control, and Dynamics, Vol. 19, No. 4, 01.01.1996, p. 886-892.

Research output: Contribution to journalArticle

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