The Local Rational Method for H-infinity Norm Estimation Reduces Measurement Time

Egon Geerardyn, Tom Oomen, Joannes Schoukens

Research output: Chapter in Book/Report/Conference proceedingMeeting abstract (Book)


In the design of robust controllers, the plant model uncertainty plays a crucial role. Based on frequency response function measurements its H-infinity norm is easily underestimated since it may contain sharp resonance peaks which are sampled using a limited frequency resolution. This can result in overly optimistic controllers that fail to attain the required performance and/or stability requirements. In this poster we estimate the H-infinity norm using the Local Rational Method (LRM). By combining low-order local rational models one obtains a more detailed view of a frequency response function and its H-infinity norm. Using this strategy, the H-infinity norm estimate is improved in a short measurement time. This is illustrated on an industrial active vibration isolation system where an increase can be observed and validated against a much larger data set.
Original languageEnglish
Title of host publicationPresentation of poster at ERNSI 2014, European Research Network on System Identification, Oostende, Belgium, September 21-24, 2014
Publication statusPublished - 21 Sep 2014
EventERNSI 2014 - Thermae Palace Hotel, Ostend, Belgium
Duration: 21 Sep 201424 Sep 2014


WorkshopERNSI 2014
OtherModelling of dynamical systems is fundamental in almost all disciplines of science and engineering, ranging from life science to plant-wide process control. Engineering uses models for the design and analysis of complex technical systems. System identification concerns the construction, estimation and validation of mathematical models of dynamical physical or engineering phenomena from experimental data. This is the 23rd version of the European Workshop on System Identification, the first one being held in Saint-Malo in 1992. All through these years the workshop has maintained the scope of bringing together European researchers in the area of System Identification, in an informal setting that gives ample opportunities for participants to meet. The workshop program is composed of lectures from invited speakers, lectures from members of the ERNSI community, and poster presentations by -particularly- the PhD students and postdocs that are active in the network.


  • design
  • robust controllers

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