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Sufficient Conditions for Dynamic Stabilization of 3-State Moore-Greitzer Compressor Model

Shiriaev, Anton; Freidovich, Leonid; Robertsson, Anders LU ; Andersson, Alina LU and Johansson, Rolf LU (2016) IEEE 54th Annual Conference on Decision and Control (CDC) In 2015 54th IEEE Conference on Decision and Control (CDC) Date of Conference: p.4393-4399
Abstract
We consider the classical 3-state Moore-Greitzer

model, which is commonly used for approximating dynamics of

deviations of flow and pressure variables in an axial compressor

from their nominal steady-state values. The linearization of the

nonlinear system is not controllable and, therefore, even local

asymptotic stability cannot be achieved using methods of linear

control theory. We propose a family of parametrized partial-

state feedback control laws and derive sufficient conditions to

guarantee global asymptotic stability of the closed-loop system.

The stability analysis uses the integral quadratic constraints

technique for the case of non-strict... (More)
We consider the classical 3-state Moore-Greitzer

model, which is commonly used for approximating dynamics of

deviations of flow and pressure variables in an axial compressor

from their nominal steady-state values. The linearization of the

nonlinear system is not controllable and, therefore, even local

asymptotic stability cannot be achieved using methods of linear

control theory. We propose a family of parametrized partial-

state feedback control laws and derive sufficient conditions to

guarantee global asymptotic stability of the closed-loop system.

The stability analysis uses the integral quadratic constraints

technique for the case of non-strict frequency condition and

novel arguments for characterization of ω-limit sets. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
2015 54th IEEE Conference on Decision and Control (CDC) Date of Conference:
pages
6 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
IEEE 54th Annual Conference on Decision and Control (CDC)
external identifiers
  • Scopus:84961994344
ISBN
978-1-4799-7884-7
language
English
LU publication?
yes
id
9b0e15ca-b4fb-4e3d-9078-3414c4200b0e (old id 8518199)
date added to LUP
2016-03-29 10:31:44
date last changed
2016-10-13 04:49:35
@misc{9b0e15ca-b4fb-4e3d-9078-3414c4200b0e,
  abstract     = {We consider the classical 3-state Moore-Greitzer<br/><br>
model, which is commonly used for approximating dynamics of<br/><br>
deviations of flow and pressure variables in an axial compressor<br/><br>
from their nominal steady-state values. The linearization of the<br/><br>
nonlinear system is not controllable and, therefore, even local<br/><br>
asymptotic stability cannot be achieved using methods of linear<br/><br>
control theory. We propose a family of parametrized partial-<br/><br>
state feedback control laws and derive sufficient conditions to<br/><br>
guarantee global asymptotic stability of the closed-loop system.<br/><br>
The stability analysis uses the integral quadratic constraints<br/><br>
technique for the case of non-strict frequency condition and<br/><br>
novel arguments for characterization of ω-limit sets.},
  author       = {Shiriaev, Anton and Freidovich, Leonid and Robertsson, Anders and Andersson, Alina and Johansson, Rolf},
  isbn         = {978-1-4799-7884-7 },
  language     = {eng},
  pages        = {4393--4399},
  publisher    = {ARRAY(0x8ab4828)},
  series       = {2015 54th IEEE Conference on Decision and Control (CDC) Date of Conference:},
  title        = {Sufficient Conditions for Dynamic Stabilization of 3-State Moore-Greitzer Compressor Model},
  year         = {2016},
}