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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1445741
- author
- Johansson, Rolf
LU
; Collado, J.
and Lozano, R.
- organization
- publishing date
- 2008
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Lyapunov functions, KYP lemma, passivity, observers, SPR systems, Strictly positive realness
- host publication
- Proc. 47th IEEE Conference on Decision and Control (CDC2008)
- conference name
- 47th IEEE Conference on Decision and Control, 2008
- conference location
- Cancun, Mexico
- conference dates
- 2008-12-09 - 2008-12-11
- external identifiers
-
- scopus:62949138989
- project
- RobotLab LTH
- Nonlinear and Adaptive Control (NACO2) Network
- language
- English
- LU publication?
- yes
- id
- f485f782-0d09-4f6a-961c-0ff32e858550 (old id 1445741)
- date added to LUP
- 2016-04-04 13:47:06
- date last changed
- 2024-01-01 01:52:06
@inproceedings{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.}},
booktitle = {{Proc. 47th IEEE Conference on Decision and Control (CDC2008)}},
keywords = {{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}},
}