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)
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:
https://lup.lub.lu.se/record/8518199
- author
- Shiriaev, Anton
; Freidovich, Leonid
; Robertsson, Anders
LU
; Andersson, Alina
LU
and Johansson, Rolf
LU
- organization
- publishing date
- 2016
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 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)
- conference location
- Osaka, Japan
- conference dates
- 2015-12-15
- external identifiers
-
- scopus:84961994344
- ISBN
- 978-1-4799-7884-7
- project
- Active Control 2013-2015
- language
- English
- LU publication?
- yes
- id
- 9b0e15ca-b4fb-4e3d-9078-3414c4200b0e (old id 8518199)
- date added to LUP
- 2016-04-04 12:05:50
- date last changed
- 2022-05-01 22:37:06
@inproceedings{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}},
booktitle = {{2015 54th IEEE Conference on Decision and Control (CDC) Date of Conference:}},
isbn = {{978-1-4799-7884-7}},
language = {{eng}},
pages = {{4393--4399}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{Sufficient Conditions for Dynamic Stabilization of 3-State Moore-Greitzer Compressor Model}},
year = {{2016}},
}