An application of gain-scheduled control using state-space interpolation to hydroactive gas bearings

Lukas Roy Svane Theisen; Juan F. Camino; Hans Henrik Niemann

doi:10.1109/CCA.2016.7587956

An application of gain-scheduled control using state-space interpolation to hydroactive gas bearings

Lukas Roy Svane Theisen, Juan F. Camino, Hans Henrik Niemann

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

Sinusoidal disturbances are common, especially in rotordynamics where mass imbalance causes undesirable vibrations. When the frequency of the disturbance is constant and known, it can be rejected using robust control techniques by including notches in the weights. For a known time-varying frequency, it is possible to design a gain-scheduled controller using multiple controllers optimised for a single frequency. Gain-scheduling strategies using the Youla parametrisation can guarantee stability at the cost of increased controller order and performance loss in the interpolation region. This paper contributes with a gain-scheduling strategy using state-space interpolation, which avoids both the performance loss and the increase of controller order associated to the Youla parametrisation. The proposed state-space interpolation for gain-scheduling is applied for mass imbalance rejection for a controllable gas bearing scheduled in two parameters. Comparisons against the Youla-based scheduling demonstrate the superiority of the state-space interpolation.

Original language	English
Title of host publication	2016 Ieee Conference on Control Applications
Publisher	IEEE
Publication date	2016
Pages	1117-22
ISBN (Print)	9781509007554
DOIs	https://doi.org/10.1109/CCA.2016.7587956
Publication status	Published - 2016
Event	2016 IEEE Multi-Conference on Systems and Control - Buenos Aires, Argentina Duration: 19 Sep 2016 → 22 Sep 2016

Conference

Conference	2016 IEEE Multi-Conference on Systems and Control
Country	Argentina
City	Buenos Aires
Period	19/09/2016 → 22/09/2016

Keywords

Mechanical variables control
Interpolation and function approximation (numerical analysis)
Control system analysis and synthesis methods
Stability in control theory
Time-varying control systems
Mechanical components
Numerical analysis
Control technology and theory
interpolation
machine bearings
mechanical variables control
robust control
state-space methods
time-varying systems
rotordynamics
disturbance frequency
notches
time-varying frequency
gain-scheduled controller
Youla parametrisation
controller order
performance loss
gain-scheduling strategy
state-space interpolation region
mass imbalance rejection
controllable gas bearing
Youla-based scheduling
sinusoidal disturbances

Access to Document

10.1109/CCA.2016.7587956

Fingerprint Dive into the research topics of 'An application of gain-scheduled control using state-space interpolation to hydroactive gas bearings'. Together they form a unique fingerprint.

Cite this

@inproceedings{d44d169f247f431b898d5694e286fd5c,

title = "An application of gain-scheduled control using state-space interpolation to hydroactive gas bearings",

abstract = "Sinusoidal disturbances are common, especially in rotordynamics where mass imbalance causes undesirable vibrations. When the frequency of the disturbance is constant and known, it can be rejected using robust control techniques by including notches in the weights. For a known time-varying frequency, it is possible to design a gain-scheduled controller using multiple controllers optimised for a single frequency. Gain-scheduling strategies using the Youla parametrisation can guarantee stability at the cost of increased controller order and performance loss in the interpolation region. This paper contributes with a gain-scheduling strategy using state-space interpolation, which avoids both the performance loss and the increase of controller order associated to the Youla parametrisation. The proposed state-space interpolation for gain-scheduling is applied for mass imbalance rejection for a controllable gas bearing scheduled in two parameters. Comparisons against the Youla-based scheduling demonstrate the superiority of the state-space interpolation.",

keywords = "Mechanical variables control, Interpolation and function approximation (numerical analysis), Control system analysis and synthesis methods, Stability in control theory, Time-varying control systems, Mechanical components, Numerical analysis, Control technology and theory, interpolation, machine bearings, mechanical variables control, robust control, state-space methods, time-varying systems, rotordynamics, disturbance frequency, notches, time-varying frequency, gain-scheduled controller, Youla parametrisation, controller order, performance loss, gain-scheduling strategy, state-space interpolation region, mass imbalance rejection, controllable gas bearing, Youla-based scheduling, sinusoidal disturbances",

author = "Theisen, {Lukas Roy Svane} and Camino, {Juan F.} and Niemann, {Hans Henrik}",

year = "2016",

doi = "10.1109/CCA.2016.7587956",

language = "English",

isbn = "9781509007554",

pages = "1117--22",

booktitle = "2016 Ieee Conference on Control Applications",

publisher = "IEEE",

address = "United States",

note = "2016 IEEE Multi-Conference on Systems and Control, MSC 2016 ; Conference date: 19-09-2016 Through 22-09-2016",

}

TY - GEN

T1 - An application of gain-scheduled control using state-space interpolation to hydroactive gas bearings

AU - Theisen, Lukas Roy Svane

AU - Camino, Juan F.

AU - Niemann, Hans Henrik

PY - 2016

Y1 - 2016

N2 - Sinusoidal disturbances are common, especially in rotordynamics where mass imbalance causes undesirable vibrations. When the frequency of the disturbance is constant and known, it can be rejected using robust control techniques by including notches in the weights. For a known time-varying frequency, it is possible to design a gain-scheduled controller using multiple controllers optimised for a single frequency. Gain-scheduling strategies using the Youla parametrisation can guarantee stability at the cost of increased controller order and performance loss in the interpolation region. This paper contributes with a gain-scheduling strategy using state-space interpolation, which avoids both the performance loss and the increase of controller order associated to the Youla parametrisation. The proposed state-space interpolation for gain-scheduling is applied for mass imbalance rejection for a controllable gas bearing scheduled in two parameters. Comparisons against the Youla-based scheduling demonstrate the superiority of the state-space interpolation.

AB - Sinusoidal disturbances are common, especially in rotordynamics where mass imbalance causes undesirable vibrations. When the frequency of the disturbance is constant and known, it can be rejected using robust control techniques by including notches in the weights. For a known time-varying frequency, it is possible to design a gain-scheduled controller using multiple controllers optimised for a single frequency. Gain-scheduling strategies using the Youla parametrisation can guarantee stability at the cost of increased controller order and performance loss in the interpolation region. This paper contributes with a gain-scheduling strategy using state-space interpolation, which avoids both the performance loss and the increase of controller order associated to the Youla parametrisation. The proposed state-space interpolation for gain-scheduling is applied for mass imbalance rejection for a controllable gas bearing scheduled in two parameters. Comparisons against the Youla-based scheduling demonstrate the superiority of the state-space interpolation.

KW - Mechanical variables control

KW - Interpolation and function approximation (numerical analysis)

KW - Control system analysis and synthesis methods

KW - Stability in control theory

KW - Time-varying control systems

KW - Mechanical components

KW - Numerical analysis

KW - Control technology and theory

KW - interpolation

KW - machine bearings

KW - mechanical variables control

KW - robust control

KW - state-space methods

KW - time-varying systems

KW - rotordynamics

KW - disturbance frequency

KW - notches

KW - time-varying frequency

KW - gain-scheduled controller

KW - Youla parametrisation

KW - controller order

KW - performance loss

KW - gain-scheduling strategy

KW - state-space interpolation region

KW - mass imbalance rejection

KW - controllable gas bearing

KW - Youla-based scheduling

KW - sinusoidal disturbances

U2 - 10.1109/CCA.2016.7587956

DO - 10.1109/CCA.2016.7587956

M3 - Article in proceedings

SN - 9781509007554

SP - 1117

EP - 1122

BT - 2016 Ieee Conference on Control Applications

PB - IEEE

T2 - 2016 IEEE Multi-Conference on Systems and Control

Y2 - 19 September 2016 through 22 September 2016

ER -