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Analytic Parameterization of Stabilizing Controllers for the Moore-Greitzer Compressor Model

Andersson, Alina LU (2015)
Abstract
This work presents an extension, simplification and application of a design procedure for dynamic output feedback design for systems with nonlinearities satisfying quadratic constraints (QC). Our method was motivated by the challenges of output feedback control design for the three-state Moore-Greitzer (MG) compressor model. The classical three-state MG model is a nonlinear dynamical system that is widely used in stall/surge analysis and control design.



First, we find the parameter set of the stabilizing dynamic output feedback controllers for the surge subsystem by using conditions for stability of a transformed system and the associated matching conditions.



Second, we choose the optimal control... (More)
This work presents an extension, simplification and application of a design procedure for dynamic output feedback design for systems with nonlinearities satisfying quadratic constraints (QC). Our method was motivated by the challenges of output feedback control design for the three-state Moore-Greitzer (MG) compressor model. The classical three-state MG model is a nonlinear dynamical system that is widely used in stall/surge analysis and control design.



First, we find the parameter set of the stabilizing dynamic output feedback controllers for the surge subsystem by using conditions for stability of a transformed system and the associated matching conditions.



Second, we choose the optimal control parameters from the stabilizing set with respect to different desired criteria.



We show the set of parameters of the stabilizing controllers for the surge subsystem and the set of parameters of the stabilizing controllers with extended integral part for MG compressor.



We present simplified sufficient conditions for stabilization, new constraints for the corresponding parameters and examples of optimal problem for the surge subsystem of the Moore-Greitzer compressor model.



We discuss the degree of robustness and clarify an alternative proof of stability of the closed-loop system with the surge subsystem and the stabilizing dynamic output feedback controller without an integral state. In addition, we show the derivation of a quadratic function by using CVX. (Less)
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author
supervisor
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Nonlinear control, Moore-Greitzer compressor model, Dynamic output feedback, Compressors, Nonlinear control systems, Stability robustness, Constraints, Nonlinearity, Lyapunov stability
pages
81 pages
publisher
Department of Automatic Control, Lund Institute of Technology, Lund University
language
English
LU publication?
yes
id
b2e84842-1b88-499f-acaf-e7b2b87026aa (old id 5424052)
date added to LUP
2015-05-20 12:09:29
date last changed
2016-09-19 08:44:50
@misc{b2e84842-1b88-499f-acaf-e7b2b87026aa,
  abstract     = {This work presents an extension, simplification and application of a design procedure for dynamic output feedback design for systems with nonlinearities satisfying quadratic constraints (QC). Our method was motivated by the challenges of output feedback control design for the three-state Moore-Greitzer (MG) compressor model. The classical three-state MG model is a nonlinear dynamical system that is widely used in stall/surge analysis and control design.<br/><br>
<br/><br>
First, we find the parameter set of the stabilizing dynamic output feedback controllers for the surge subsystem by using conditions for stability of a transformed system and the associated matching conditions.<br/><br>
<br/><br>
Second, we choose the optimal control parameters from the stabilizing set with respect to different desired criteria. <br/><br>
<br/><br>
We show the set of parameters of the stabilizing controllers for the surge subsystem and the set of parameters of the stabilizing controllers with extended integral part for MG compressor. <br/><br>
<br/><br>
We present simplified sufficient conditions for stabilization, new constraints for the corresponding parameters and examples of optimal problem for the surge subsystem of the Moore-Greitzer compressor model. <br/><br>
<br/><br>
We discuss the degree of robustness and clarify an alternative proof of stability of the closed-loop system with the surge subsystem and the stabilizing dynamic output feedback controller without an integral state. In addition, we show the derivation of a quadratic function by using CVX.},
  author       = {Andersson, Alina},
  keyword      = {Nonlinear control,Moore-Greitzer compressor model,Dynamic output feedback,Compressors,Nonlinear control systems,Stability robustness,Constraints,Nonlinearity,Lyapunov stability},
  language     = {eng},
  note         = {Licentiate Thesis},
  pages        = {81},
  publisher    = {Department of Automatic Control, Lund Institute of Technology, Lund University},
  title        = {Analytic Parameterization of Stabilizing Controllers for the Moore-Greitzer Compressor Model},
  year         = {2015},
}