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Criteria for Global Stability of Coupled Systems with Application to Robust Output Feedback Design for Active Surge Control

Shiriaev, Anton ; Johansson, Rolf LU orcid ; Robertsson, Anders LU and Freidovich, Leonid (2009) IEEE Multi-conference on Systems and Control, 2009
Abstract
The well-known and commonly accepted finite dimensional model qualitatively describing surge instabilities in centrifugal (and axial) compressors is considered. The problem of global output feedback stabilization for it is solved. The solution relies on two new criteria for global stability proposed for a class of nonlinear systems exploiting quadratic constraints for infinite sector nonlinearities. Two families of robust output feedback controllers are proposed. Controllers from the first family ensure global exponential stabilization. The ones from the second family provide integral action but only ensure local exponential and global asymptotic stability. Performance is verified by simulations.
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
keywords
Nonlinear systems, Control applications, Stability, Output Feedback Control
host publication
Proc. 2009 IEEE Multi-conference on Systems and Control (MSC 2009)
conference name
IEEE Multi-conference on Systems and Control, 2009
conference location
St. Petersburg, Russian Federation
conference dates
2009-07-08 - 2009-07-10
external identifiers
  • scopus:74049161641
project
Active Control 2007-2009
Active Control 2010-2012
language
English
LU publication?
yes
id
d98d3161-8677-464c-b925-03d13f4d8483 (old id 1625376)
date added to LUP
2016-04-04 13:13:32
date last changed
2025-04-04 14:17:16
@inproceedings{d98d3161-8677-464c-b925-03d13f4d8483,
  abstract     = {{The well-known and commonly accepted finite dimensional model qualitatively describing surge instabilities in centrifugal (and axial) compressors is considered. The problem of global output feedback stabilization for it is solved. The solution relies on two new criteria for global stability proposed for a class of nonlinear systems exploiting quadratic constraints for infinite sector nonlinearities. Two families of robust output feedback controllers are proposed. Controllers from the first family ensure global exponential stabilization. The ones from the second family provide integral action but only ensure local exponential and global asymptotic stability. Performance is verified by simulations.}},
  author       = {{Shiriaev, Anton and Johansson, Rolf and Robertsson, Anders and Freidovich, Leonid}},
  booktitle    = {{Proc. 2009 IEEE Multi-conference on Systems and Control (MSC 2009)}},
  keywords     = {{Nonlinear systems; Control applications; Stability; Output Feedback Control}},
  language     = {{eng}},
  title        = {{Criteria for Global Stability of Coupled Systems with Application to Robust Output Feedback Design for Active Surge Control}},
  url          = {{https://lup.lub.lu.se/search/files/62894215/8146193.pdf}},
  year         = {{2009}},
}