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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.
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author
organization
publishing date
type
Contribution to conference
publication status
published
subject
pages
6196 - 6201
conference name
17th IFAC World Congress, 2008
external identifiers
  • Scopus:79961019109
language
English
LU publication?
yes
id
42c2bfab-d46f-494c-b6e6-6d273dab9472 (old id 1444905)
date added to LUP
2009-07-18 15:42:34
date last changed
2017-01-01 08:11:20
@misc{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},
  language     = {eng},
  pages        = {6196--6201},
  title        = {Separation Principle for a Class of Nonlinear Feedback Systems Augmented with Observers},
  year         = {2008},
}