Advanced

On Simultaneous H2-Optimization of Several Performance Bounds

Bernhardsson, Bo LU and Johansson, Karl Henrik (1993) 12th IFAC World Congress In IFAC Proceedings Volumes 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
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
IFAC Proceedings Volumes
volume
26
pages
427 - 430
publisher
IFAC & Elsevier Ltd.
conference name
12th IFAC World Congress
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
2016-01-14 11:23:41
date last changed
2017-08-02 13:19:13
@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    = {IFAC & Elsevier Ltd.},
  title        = {On Simultaneous H<sub>2</sub>-Optimization of Several Performance Bounds},
  url          = {http://dx.doi.org/10.1016/S1474-6670(17)49160-9},
  volume       = {26},
  year         = {1993},
}