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Simple but rich test example for H∞-optimal control

Hagander, Per LU and Bernhardsson, Bo LU orcid (1992) Proceedings of the 1992 American Control Conference In Proceedings of the American Control Conference 1. p.745-746
Abstract

A simple second order feed-forward disturbance attenuation problem is analyzed. The problem has one free parameter, the control weight ρ in the loss function. It is found that controller structure and uniqueness for H∞ - control, in the optimal case, changes when ρ is varied. Sensitivity to initial conditions is also drastically changed. The example is simple enough to allow a solution by formula manipulation, but is rich enough to give physically reasonable controllers and insight into the behavior of both state-space and polynomia H∞-methods at optimality. Details can be found in [6].

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
Proceedings of the American Control Conference
series title
Proceedings of the American Control Conference
volume
1
pages
2 pages
publisher
Publ by American Automatic Control Council
conference name
Proceedings of the 1992 American Control Conference
conference location
Chicago, IL, USA
conference dates
1992-06-24 - 1992-06-26
external identifiers
  • scopus:0027091876
ISSN
0743-1619
ISBN
0780302109
language
English
LU publication?
yes
id
0baa5915-76ee-4cb7-b1d8-5ea2be0d6232
date added to LUP
2020-07-07 12:40:55
date last changed
2021-01-03 05:07:29
@inproceedings{0baa5915-76ee-4cb7-b1d8-5ea2be0d6232,
  abstract     = {{<p>A simple second order feed-forward disturbance attenuation problem is analyzed. The problem has one free parameter, the control weight ρ in the loss function. It is found that controller structure and uniqueness for H<sub>∞</sub> - control, in the optimal case, changes when ρ is varied. Sensitivity to initial conditions is also drastically changed. The example is simple enough to allow a solution by formula manipulation, but is rich enough to give physically reasonable controllers and insight into the behavior of both state-space and polynomia H<sub>∞</sub>-methods at optimality. Details can be found in [6].</p>}},
  author       = {{Hagander, Per and Bernhardsson, Bo}},
  booktitle    = {{Proceedings of the American Control Conference}},
  isbn         = {{0780302109}},
  issn         = {{0743-1619}},
  language     = {{eng}},
  month        = {{12}},
  pages        = {{745--746}},
  publisher    = {{Publ by American Automatic Control Council}},
  series       = {{Proceedings of the American Control Conference}},
  title        = {{Simple but rich test example for H<sub>∞</sub>-optimal control}},
  volume       = {{1}},
  year         = {{1992}},
}