Projective geometry and feedback stabilization

J. Bokor, Z. Szabó

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

Abstract

The goal of this paper is to provide a geometric study of the well–posedness and stability concepts associated to the feedback control loops. The usefulness of Kleinian–view of geometry is emphasized and tools from matrix projective geometry are applied. It will be shown that Mobius transforms play a central role to arrive to the group structures that characterize the well posed and stable feedback connections of dynamic systems. The well–known Youla parametrization is obtained as a special case of this group of transforms.

Original languageEnglish
Title of host publicationINES 2017 - IEEE 21st International Conference on Intelligent Engineering Systems, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages11-16
Number of pages6
Volume2017-January
ISBN (Electronic)9781479976775
DOIs
Publication statusPublished - Nov 22 2017
Event21st IEEE International Conference on Intelligent Engineering Systems, INES 2017 - Larnaca, Cyprus
Duration: Oct 20 2017Oct 23 2017

Other

Other21st IEEE International Conference on Intelligent Engineering Systems, INES 2017
CountryCyprus
CityLarnaca
Period10/20/1710/23/17

Fingerprint

Projective geometry
Feedback Stabilization
Stabilization
Möbius Transform
Feedback
Geometry
Parametrization
Well-posedness
Feedback Control
Feedback control
Dynamic Systems
Dynamical systems
Transform
Concepts

ASJC Scopus subject areas

  • Control and Optimization
  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

Bokor, J., & Szabó, Z. (2017). Projective geometry and feedback stabilization. In INES 2017 - IEEE 21st International Conference on Intelligent Engineering Systems, Proceedings (Vol. 2017-January, pp. 11-16). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/INES.2017.8118537

Projective geometry and feedback stabilization. / Bokor, J.; Szabó, Z.

INES 2017 - IEEE 21st International Conference on Intelligent Engineering Systems, Proceedings. Vol. 2017-January Institute of Electrical and Electronics Engineers Inc., 2017. p. 11-16.

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

Bokor, J & Szabó, Z 2017, Projective geometry and feedback stabilization. in INES 2017 - IEEE 21st International Conference on Intelligent Engineering Systems, Proceedings. vol. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 11-16, 21st IEEE International Conference on Intelligent Engineering Systems, INES 2017, Larnaca, Cyprus, 10/20/17. https://doi.org/10.1109/INES.2017.8118537
Bokor J, Szabó Z. Projective geometry and feedback stabilization. In INES 2017 - IEEE 21st International Conference on Intelligent Engineering Systems, Proceedings. Vol. 2017-January. Institute of Electrical and Electronics Engineers Inc. 2017. p. 11-16 https://doi.org/10.1109/INES.2017.8118537
Bokor, J. ; Szabó, Z. / Projective geometry and feedback stabilization. INES 2017 - IEEE 21st International Conference on Intelligent Engineering Systems, Proceedings. Vol. 2017-January Institute of Electrical and Electronics Engineers Inc., 2017. pp. 11-16
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