Explicit Form of Lyapunov Functions for a Class of Nonlinear Feedback Systems Augmented with Observers
(2007) 7th IFAC Symposium on Nonlinear Control Systems, 2007- 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 the extended system with only output feedback control from a (full state) Luenberger-type observer also can apply to the Circle Criterion. As a consequence, 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/1023033
- author
- Shiriaev, Anton
; Johansson, Rolf
LU
and Robertsson, Anders LU
- organization
- publishing date
- 2007
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Preprints 7th IFAC Symp. Nonlinear Control Systems (NOLCOS 2007)
- conference name
- 7th IFAC Symposium on Nonlinear Control Systems, 2007
- conference location
- Pretoria, South Africa
- conference dates
- 2007-08-22 - 2007-08-24
- external identifiers
-
- scopus:79960955677
- project
- Active Control 2007-2009
- language
- English
- LU publication?
- yes
- id
- a6a77525-bbb9-43b4-97cd-4701f71bc2a7 (old id 1023033)
- date added to LUP
- 2016-04-04 12:51:55
- date last changed
- 2022-01-31 18:57:20
@inproceedings{a6a77525-bbb9-43b4-97cd-4701f71bc2a7, 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 the extended system with only output feedback control from a (full state) Luenberger-type observer also can apply to the Circle Criterion. As a consequence, we state a separation principle for a class of feedback systems with an 'input nonlinearity.' When only local stability results can be stated,<br/><br> our method provides an estimate of the region of attraction.}}, author = {{Shiriaev, Anton and Johansson, Rolf and Robertsson, Anders}}, booktitle = {{Preprints 7th IFAC Symp. Nonlinear Control Systems (NOLCOS 2007)}}, language = {{eng}}, title = {{Explicit Form of Lyapunov Functions for a Class of Nonlinear Feedback Systems Augmented with Observers}}, url = {{https://lup.lub.lu.se/search/files/62895488/8411730.pdf}}, year = {{2007}}, }