Global Stabilization for a Class of Coupled Nonlinear Systems with Application to Active Surge Control
Shiriaev, Anton ; Freidovich, Leonid ; Johansson, Rolf LU
and Robertsson, Anders
LU
(2010)
In Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
17(6b).
p.875-908
- Abstract
- We propose here a new procedure for output feedback design for systems with nonlinearities satisfying quadratic constraints. It provides an alternative for the classical observer-based design and relies on transformation of the closed-loop system with a dynamic controller of particular structure into a special block form. We present two sets of sufficient conditions for stability of the transformed block system and derive matching conditions allowing such a representation for a particular challenging example. The two new tests for global stability proposed for a class of nonlinear systems extend the famous Circle criterion applied for infinite sector quadratic constraints. The study is motivated and illustrated by the problem of output... (More)
- We propose here a new procedure for output feedback design for systems with nonlinearities satisfying quadratic constraints. It provides an alternative for the classical observer-based design and relies on transformation of the closed-loop system with a dynamic controller of particular structure into a special block form. We present two sets of sufficient conditions for stability of the transformed block system and derive matching conditions allowing such a representation for a particular challenging example. The two new tests for global stability proposed for a class of nonlinear systems extend the famous Circle criterion applied for infinite sector quadratic constraints. The study is motivated and illustrated by the problem of output feedback control design for the well-known finite dimensional nonlinear model qualitatively describing surge instabilities in compressors. Assuming that the only available measurement is the pressure rise, we suggest a constructive procedure for synthesis of a family of robustly globally stabilizing feedback controllers. The solution relies on structural properties of the nonlinearity of the model describing a compressor characteristic, which includes earlier known static quadratic constraints and a newly found integral quadratic constraint. Performance of the closed-loop system is discussed and illustrated by simulations. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1750249
- author
- Shiriaev, Anton
; Freidovich, Leonid
; Johansson, Rolf
LU
and Robertsson, Anders
LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
- volume
- 17
- issue
- 6b
- pages
- 875 - 908
- publisher
- Watam Press
- external identifiers
-
- scopus:78649962556
- ISSN
- 1492-8760
- project
- Active Control 2010-2012
- Active Control 2007-2009
- Stable Oscillations in Nonlinear Systems 2009-2010
- language
- English
- LU publication?
- yes
- id
- 75f8a05a-552a-4799-958c-ca2eec786e5d (old id 1750249)
- date added to LUP
- 2016-04-04 14:38:24
- date last changed
- 2024-01-04 00:40:43
@article{75f8a05a-552a-4799-958c-ca2eec786e5d,
abstract = {{We propose here a new procedure for output feedback design for systems with nonlinearities satisfying quadratic constraints. It provides an alternative for the classical observer-based design and relies on transformation of the closed-loop system with a dynamic controller of particular structure into a special block form. We present two sets of sufficient conditions for stability of the transformed block system and derive matching conditions allowing such a representation for a particular challenging example. The two new tests for global stability proposed for a class of nonlinear systems extend the famous Circle criterion applied for infinite sector quadratic constraints. The study is motivated and illustrated by the problem of output feedback control design for the well-known finite dimensional nonlinear model qualitatively describing surge instabilities in compressors. Assuming that the only available measurement is the pressure rise, we suggest a constructive procedure for synthesis of a family of robustly globally stabilizing feedback controllers. The solution relies on structural properties of the nonlinearity of the model describing a compressor characteristic, which includes earlier known static quadratic constraints and a newly found integral quadratic constraint. Performance of the closed-loop system is discussed and illustrated by simulations.}},
author = {{Shiriaev, Anton and Freidovich, Leonid and Johansson, Rolf and Robertsson, Anders}},
issn = {{1492-8760}},
language = {{eng}},
number = {{6b}},
pages = {{875--908}},
publisher = {{Watam Press}},
series = {{Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms}},
title = {{Global Stabilization for a Class of Coupled Nonlinear Systems with Application to Active Surge Control}},
url = {{https://lup.lub.lu.se/search/files/6406875/8168856.pdf}},
volume = {{17}},
year = {{2010}},
}