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Observer-Based Solution to the Strictly Positive Real Problem

Collado, J. ; Lozano, R. and Johansson, Rolf LU orcid (2005)
Abstract
We study the extension of the class of linear time invariant plants that may be transformed into SPR systems introducing an observer. It is shown that for open loop stable systems a cascaded observer achieves the result. For open loop unstable systems an observer-based feedback is required to succeed. In general any stabilizable and observable system may be transformed into an SPR system using cascade or cascade and feedback controllers. This overcomes the old conditions of minimum phase and relative degree one. The result is illustrated with some examples.
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
Nonlinear and Adaptive Control, Tools and Algorithms for the User
editor
Astolfi, Alessandro
publisher
Imperial College Press
external identifiers
  • scopus:34447136187
ISBN
1-86094-617-8
project
Nonlinear and Adaptive Control (NACO2) Network
RobotLab LTH
language
English
LU publication?
yes
id
529d4fd3-bd65-4461-bf2a-c86bfc985fd7 (old id 535670)
date added to LUP
2016-04-04 10:55:13
date last changed
2023-04-05 14:35:08
@inbook{529d4fd3-bd65-4461-bf2a-c86bfc985fd7,
  abstract     = {{We study the extension of the class of linear time invariant plants that may be transformed into SPR systems introducing an observer. It is shown that for open loop stable systems a cascaded observer achieves the result. For open loop unstable systems an observer-based feedback is required to succeed. In general any stabilizable and observable system may be transformed into an SPR system using cascade or cascade and feedback controllers. This overcomes the old conditions of minimum phase and relative degree one. The result is illustrated with some examples.}},
  author       = {{Collado, J. and Lozano, R. and Johansson, Rolf}},
  booktitle    = {{Nonlinear and Adaptive Control, Tools and Algorithms for the User}},
  editor       = {{Astolfi, Alessandro}},
  isbn         = {{1-86094-617-8}},
  language     = {{eng}},
  publisher    = {{Imperial College Press}},
  title        = {{Observer-Based Solution to the Strictly Positive Real Problem}},
  year         = {{2005}},
}