On Simultaneous H2-Optimization of Several Performance Bounds
(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:
https://lup.lub.lu.se/record/8517347
- author
- Bernhardsson, Bo LU and Johansson, Karl Henrik
- organization
- publishing date
- 1993
- 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}}, }