Parameterization of all stabilizing H ∞ static state-feedback gains: Application to output-feedback design

This paper presents a simplified parameterization of all H ∞ static state-feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and sufficient conditions for the existence of an static output-feedback gain are given. An efficie...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 43; no. 9; pp. 1597 - 1604
Main Authors Gadewadikar, J., Lewis, Frank L., Xie, L., Kucera, V., Abu-Khalaf, M.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.09.2007
Elsevier
Subjects
[formula omitted] control
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Controller parameterization
Exact sciences and technology
Static output feedback
Controller parameterization
Static output feedback
H ∞ control
State feedback
H∞ control
H infinite control
Algebraic equation
Feedback regulation
Control synthesis
Riccati equation
Parameterization
Aircraft
Output feedback
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Summary:This paper presents a simplified parameterization of all H ∞ static state-feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and sufficient conditions for the existence of an static output-feedback gain are given. An efficient computational algorithm is given and its correctness proven. No initial stabilizing output-feedback gain is needed. The technique is used to design an H ∞ lateral–directional command augmentation system for the F-16 aircraft.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2007.02.005