Advanced

Explicit Form of Lyapunov Functions for a Class of Nonlinear Feedback Systems Augmented with Observers

Shiriaev, Anton ; Johansson, Rolf LU and Robertsson, Anders LU (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:
author
; and
organization
publishing date
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
2020-01-13 01:38:59
@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/ws/files/62895488/8411730.pdf},
  year         = {2007},
}