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On Simultaneous H2-Optimization of Several Performance Bounds

Bernhardsson, Bo LU orcid and Johansson, Karl Henrik (1993) 12th IFAC World Congress 26. p.427-430
Abstract
Simultaneous optimisation of several criteria is an important and interesting subject. Even the standard H2-case is non-trivial. The problem is here treated for the general MIMO case for two conflicting objectives (the results directly generalise to several performance measures). A seminorm D2 is introduced to describe the situation. The state-space solution technique in [Khargonekar and Rotea, 1991] is simplified and generalized slightly. It is shown that the method simplifies when the controller is SISO, SIMO or MISO. A polynomial method is also given, together with an example that illustrates the results.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
IFAC Proceedings Volumes
volume
26
pages
427 - 430
publisher
Elsevier
conference name
12th IFAC World Congress
conference location
Sydney, Australia
conference dates
1993-07-19
DOI
10.1016/S1474-6670(17)49160-9
language
English
LU publication?
yes
id
99446911-d518-43f1-a182-43e4845918e8 (old id 8517347)
date added to LUP
2016-04-04 13:39:34
date last changed
2021-11-10 12:02:24
@inproceedings{99446911-d518-43f1-a182-43e4845918e8,
  abstract     = {{Simultaneous optimisation of several criteria is an important and interesting subject. Even the standard H2-case is non-trivial. The problem is here treated for the general MIMO case for two conflicting objectives (the results directly generalise to several performance measures). A seminorm D2 is introduced to describe the situation. The state-space solution technique in [Khargonekar and Rotea, 1991] is simplified and generalized slightly. It is shown that the method simplifies when the controller is SISO, SIMO or MISO. A polynomial method is also given, together with an example that illustrates the results.<br/>}},
  author       = {{Bernhardsson, Bo and Johansson, Karl Henrik}},
  booktitle    = {{IFAC Proceedings Volumes}},
  language     = {{eng}},
  pages        = {{427--430}},
  publisher    = {{Elsevier}},
  title        = {{On Simultaneous H<sub>2</sub>-Optimization of Several Performance Bounds}},
  url          = {{https://lup.lub.lu.se/search/files/29063038/bern_johk93.pdf}},
  doi          = {{10.1016/S1474-6670(17)49160-9}},
  volume       = {{26}},
  year         = {{1993}},
}