A note on H/sub 2/ optimal control problems with passivity constraints

A note on H/sub 2/ optimal control problems with passivity constraints

Considers the problem of determining the closest function that has a positive real part on the unit disk to a given function in H/sub 2/. An explicit characterization of the projection is given, remarks on potential applications using this projection result to control synthesis and system identifica...

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Veröffentlicht in:IEEE transactions on automatic control 2000-02, Vol.45 (2), p.286-290
Hauptverfasser: McCarthy, J.E., Jacobson, C.A.
Format: Artikel
Sprache:eng
Schlagworte:
Fourier series
Hilbert space
Jacobian matrices
Mathematics
Measurement units
Optimal control
Writing
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container_title IEEE transactions on automatic control
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creator McCarthy, J.E.
Jacobson, C.A.
description Considers the problem of determining the closest function that has a positive real part on the unit disk to a given function in H/sub 2/. An explicit characterization of the projection is given, remarks on potential applications using this projection result to control synthesis and system identification problems are made.
doi_str_mv 10.1109/9.839950
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subjects Fourier series
Hilbert space
Jacobian matrices
Mathematics
Measurement units
Optimal control
Writing
title A note on H/sub 2/ optimal control problems with passivity constraints
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