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Journal articles
Laguerre-Gram Reduced-Order Modeling
Abstract : We present an efficient model reduction procedure based on the Laguerre description of the system to be approximated. Using a one-order operator defined in the Laplace domain we construct a pencil of functions and formulate the problem as the minimization of the ( L²) criterion. The use of a weight function in the inner product definition allows a control of the time-error spreading in model reduction procedure. We show how the required Gram matrix can be computed efficiently and prove that the impulse response of the reduced model is also in ( L²). The transfer function approach allows an immediate and promising application in model reduction of infinite dimensional systems. An extension to multiple-input-multiple-output systems is also given.
Cited literature [15 references]
https://hal.univ-brest.fr/hal-00424216
Contributor : Noël Tanguy <>
Submitted on : Thursday, February 20, 2014 - 9:46:51 AM
Last modification on : Wednesday, June 24, 2020 - 4:18:36 PM
Long-term archiving on: : Tuesday, May 20, 2014 - 4:30:38 PM
Contributor : Noël Tanguy <>
Submitted on : Thursday, February 20, 2014 - 9:46:51 AM
Last modification on : Wednesday, June 24, 2020 - 4:18:36 PM
Long-term archiving on: : Tuesday, May 20, 2014 - 4:30:38 PM
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