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On the H(2) Two-Sided Model Matching Problem With Preview

Kristalny, Maxim LU and Mirkin, Leonid (2012) In IEEE Transactions on Automatic Control 57(1). p.207-212
Abstract
The H(2) optimization problem with preview and asymptotic behavior constraints is considered in a general two-sided model matching setting. The solution is obtained in terms of two constrained Sylvester equations, associated with asymptotic behavior, and stabilizing solutions of two algebraic Riccati equations. The Riccati equations do not depend on the preview length, yet are affected by asymptotic behavior constraints and are thus different from the standard H(2) Riccati equations arising in problems with no steady-state requirements or in one-sided problems.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
H(2) optimization, model matching, preview control
in
IEEE Transactions on Automatic Control
volume
57
issue
1
pages
207 - 212
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000298583700017
  • scopus:84855414276
ISSN
0018-9286
DOI
10.1109/TAC.2011.2161053
language
English
LU publication?
yes
additional info
key=krist_mirk2012ieeeac
id
d633e167-ae0b-4bef-ada7-43ef6fa1bd34 (old id 2362548)
date added to LUP
2016-04-01 14:18:52
date last changed
2022-01-27 23:56:32
@article{d633e167-ae0b-4bef-ada7-43ef6fa1bd34,
  abstract     = {{The H(2) optimization problem with preview and asymptotic behavior constraints is considered in a general two-sided model matching setting. The solution is obtained in terms of two constrained Sylvester equations, associated with asymptotic behavior, and stabilizing solutions of two algebraic Riccati equations. The Riccati equations do not depend on the preview length, yet are affected by asymptotic behavior constraints and are thus different from the standard H(2) Riccati equations arising in problems with no steady-state requirements or in one-sided problems.}},
  author       = {{Kristalny, Maxim and Mirkin, Leonid}},
  issn         = {{0018-9286}},
  keywords     = {{H(2) optimization; model matching; preview control}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{207--212}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Automatic Control}},
  title        = {{On the H(2) Two-Sided Model Matching Problem With Preview}},
  url          = {{http://dx.doi.org/10.1109/TAC.2011.2161053}},
  doi          = {{10.1109/TAC.2011.2161053}},
  volume       = {{57}},
  year         = {{2012}},
}