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Strictly Positive Real Systems Based on Reduced-Order Observers

Johansson, Rolf LU ; Collado, J. and Lozano, R. (2008) 47th IEEE Conference on Decision and Control, 2008
Abstract
We study the extension of the class of linear time-invariant open-loop systems that may be transformed into SPR systems introducing a reduced-order observer. It is shown that for open-loop stable systems a cascaded observer achieves the result. For open-loop unstable systems observer-based feedback is required to succeed. In general, any stabilizable and observable system may be transformed into an SPR system defining a new output based on the observer state. This overcomes the old conditions of minimum phase and relative degree one for the case of keeping the original output. The result is illustrated with some examples.
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author
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
Lyapunov functions, KYP lemma, passivity, observers, SPR systems, Strictly positive realness
conference name
47th IEEE Conference on Decision and Control, 2008
external identifiers
  • Scopus:62949138989
language
English
LU publication?
yes
id
f485f782-0d09-4f6a-961c-0ff32e858550 (old id 1445741)
date added to LUP
2009-07-24 09:10:09
date last changed
2016-10-13 04:57:34
@misc{f485f782-0d09-4f6a-961c-0ff32e858550,
  abstract     = {We study the extension of the class of linear time-invariant open-loop systems that may be transformed into SPR systems introducing a reduced-order observer. It is shown that for open-loop stable systems a cascaded observer achieves the result. For open-loop unstable systems observer-based feedback is required to succeed. In general, any stabilizable and observable system may be transformed into an SPR system defining a new output based on the observer state. This overcomes the old conditions of minimum phase and relative degree one for the case of keeping the original output. The result is illustrated with some examples.},
  author       = {Johansson, Rolf and Collado, J. and Lozano, R.},
  keyword      = {Lyapunov functions,KYP lemma,passivity,observers,SPR systems,Strictly positive realness},
  language     = {eng},
  title        = {Strictly Positive Real Systems Based on Reduced-Order Observers},
  year         = {2008},
}