A parametric LTI interpolation with guaranteed stability and bounds

Istvan Gozse, Zoltan Szabo, Alexandros Soumelidis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A stability preserving interpolation method is proposed for parametric SISO LTI systems with a scalar parameter. The proposed method is based on the geometrical interpolation of the poles. The poles travel on a certain trajectory while the scalar parameter changes and samples of these trajectories are known. Since the real trajectories are unknown between samples artificial trajectories are proposed which are hyperbolic lines. As the main contribution, it is shown that the usage of hyperbolic lines guarantees stability furthermore guarantees an upper bound on the deviation of the interpolated model from the known models in H sense. The method is tested on a widely known benchmark example.

Original languageEnglish
Title of host publication2017 25th Mediterranean Conference on Control and Automation, MED 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages749-754
Number of pages6
ISBN (Electronic)9781509045334
DOIs
Publication statusPublished - Jul 18 2017
Event25th Mediterranean Conference on Control and Automation, MED 2017 - Valletta, Malta
Duration: Jul 3 2017Jul 6 2017

Publication series

Name2017 25th Mediterranean Conference on Control and Automation, MED 2017

Other

Other25th Mediterranean Conference on Control and Automation, MED 2017
CountryMalta
CityValletta
Period7/3/177/6/17

ASJC Scopus subject areas

  • Control and Optimization
  • Modelling and Simulation

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  • Cite this

    Gozse, I., Szabo, Z., & Soumelidis, A. (2017). A parametric LTI interpolation with guaranteed stability and bounds. In 2017 25th Mediterranean Conference on Control and Automation, MED 2017 (pp. 749-754). [7984208] (2017 25th Mediterranean Conference on Control and Automation, MED 2017). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2017.7984208