Separation Principle for a Class of Nonlinear Feedback Systems Augmented with Observers
Shiriaev, Anton ; Johansson, Rolf LU
; Robertsson, Anders
LU
and Freidovich, Leonid
(2008)
17th IFAC World Congress, 2008
p.6196-6201
- Abstract
- The paper suggests conditions for presence of quadratic Lyapunov functions for nonlinear observer based feedback systems with an input nonlinearity in the feedback path. Provided that the system using state feedback satisfies the circle criterion (i.e., when all states can be measured), we show that stability of the extended system with output feedback control from a (full state) Luenberger-type observer may be concluded using the circle criterion. As another result, we state a separation principle for a class of feedback systems with an input nonlinearity.When only local stability results can be stated, our method provides an estimate of the region of attraction.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1444905
- author
- Shiriaev, Anton
; Johansson, Rolf
LU
; Robertsson, Anders
LU
and Freidovich, Leonid
- organization
- publishing date
- 2008
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proc. 17th IFAC2008 World Congress
- pages
- 6196 - 6201
- conference name
- 17th IFAC World Congress, 2008
- conference location
- Seoul, Korea, Democratic People's Republic of
- conference dates
- 2008-07-06 - 2008-07-11
- external identifiers
-
- scopus:79961019109
- project
- Active Control 2007-2009
- Stable Oscillations in Nonlinear Systems 2006-2008
- language
- English
- LU publication?
- yes
- id
- 42c2bfab-d46f-494c-b6e6-6d273dab9472 (old id 1444905)
- date added to LUP
- 2016-04-04 13:21:44
- date last changed
- 2022-03-17 22:55:52
@inproceedings{42c2bfab-d46f-494c-b6e6-6d273dab9472,
abstract = {{The paper suggests conditions for presence of quadratic Lyapunov functions for nonlinear observer based feedback systems with an input nonlinearity in the feedback path. Provided that the system using state feedback satisfies the circle criterion (i.e., when all states can be measured), we show that stability of the extended system with output feedback control from a (full state) Luenberger-type observer may be concluded using the circle criterion. As another result, we state a separation principle for a class of feedback systems with an input nonlinearity.When only local stability results can be stated, our method provides an estimate of the region of attraction.}},
author = {{Shiriaev, Anton and Johansson, Rolf and Robertsson, Anders and Freidovich, Leonid}},
booktitle = {{Proc. 17th IFAC2008 World Congress}},
language = {{eng}},
pages = {{6196--6201}},
title = {{Separation Principle for a Class of Nonlinear Feedback Systems Augmented with Observers}},
year = {{2008}},
}