Optimal strictly positive real controllers using direct optimization

In this paper, we consider the H 2 -optimal control problem subject to the constraint that the resulting controller be strictly positive real. A direct numerical optimization approach is adopted in conjunction with a controller parametrization that is linear in the unknown parameters. The SPR constr...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 343; no. 3; pp. 271 - 278
Main Author Damaren, Christopher J.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.05.2006
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Optimal control
H
Parameterization
H2 control
Linear form
optimization
Optimal control
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Summary:In this paper, we consider the H 2 -optimal control problem subject to the constraint that the resulting controller be strictly positive real. A direct numerical optimization approach is adopted in conjunction with a controller parametrization that is linear in the unknown parameters. The SPR constraint is easily expressed at each frequency in the form of a linear inequality. The method is applied to a numerical example from the literature and good results are achieved. In particular, the proposed method is particularly adept at determining low order controllers.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2005.12.004