Dissipativity preserving model reduction by retention of trajectories of minimal dissipation
Dissipativity preserving model reduction by retention of trajectories of minimal dissipation
We present a method for model reduction based on ideas from the behavioral theory of dissipative systems, in which the reduced order model is required to reproduce a subset of the set of trajectories of minimal dissipation of the original system. The passivity-preserving model reduction method of Antoulas (Syst Control Lett 54:361-374, 2005) and Sorensen (Syst Control Lett 54:347-360, 2005) is shown to be a particular case of this more general class of model reduction procedures.
model reduction, strictly dissipative systems, behaviors, minimal dissipation, driving variable representation, output nulling representations, Nevanlinna interpolation problem
171-201
Trentelman, H.L.
1b188fa0-a7fd-4050-a63f-4d6708c253be
Ha, B.M.
444b66cb-692a-4c88-8d54-0396f3c9a4b9
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
16 September 2009
Trentelman, H.L.
1b188fa0-a7fd-4050-a63f-4d6708c253be
Ha, B.M.
444b66cb-692a-4c88-8d54-0396f3c9a4b9
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Trentelman, H.L., Ha, B.M. and Rapisarda, P.
(2009)
Dissipativity preserving model reduction by retention of trajectories of minimal dissipation.
Mathematics of Control, Signals, and Systems, 21, .
(doi:10.1007/s00498-009-0043-6).
Abstract
We present a method for model reduction based on ideas from the behavioral theory of dissipative systems, in which the reduced order model is required to reproduce a subset of the set of trajectories of minimal dissipation of the original system. The passivity-preserving model reduction method of Antoulas (Syst Control Lett 54:361-374, 2005) and Sorensen (Syst Control Lett 54:347-360, 2005) is shown to be a particular case of this more general class of model reduction procedures.
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Published date: 16 September 2009
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Imported from ISI Web of Science
Keywords:
model reduction, strictly dissipative systems, behaviors, minimal dissipation, driving variable representation, output nulling representations, Nevanlinna interpolation problem
Organisations:
Southampton Wireless Group
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Local EPrints ID: 264662
URI: http://eprints.soton.ac.uk/id/eprint/264662
PURE UUID: f62a2387-6577-4e09-a20d-9c2487d701bd
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Date deposited: 10 Oct 2007
Last modified: 14 Mar 2024 07:54
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Author:
H.L. Trentelman
Author:
B.M. Ha
Author:
P. Rapisarda
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