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 proceedingArticle in proceedingsResearchpeer-review


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 languageEnglish
Title of host publication2016 Ieee Conference on Control Applications
Publication date2016
ISBN (Print)9781509007554
Publication statusPublished - 2016
Event2016 IEEE Multi-Conference on Systems and Control - Buenos Aires, Argentina
Duration: 19 Sep 201622 Sep 2016


Conference2016 IEEE Multi-Conference on Systems and Control
CityBuenos Aires


  • 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

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