Remarks on the geometry of the feedback loop

Z. Szabó, J. Bokor

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

Abstract

Youla parametrization of stabilizing controllers is a fundamental result of control theory. It provides a theoretical and practical tool that renders LFT loops into model matching framework. Based on the geometric techniques introduced in our previous work we have provided a controller blending rule that defines a controller semigroup structure based only on the knowledge of the plant and a single stabilizing controller and we have introduced a novel, geometry based parametrization. In this paper we investigate the possibility to construct stabilizing fractions of the given stabilizing controller relative to the blending rule. We also extend our geometry based framework to the LFT loops. Our main goal is to show that every controller which stabilizes the interior loop also stabilizes the LFT loop. Contrary to the expectations, this problem is far from being trivial.

Original languageEnglish
Title of host publication2019 18th European Control Conference, ECC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3340-3345
Number of pages6
ISBN (Electronic)9783907144008
DOIs
Publication statusPublished - Jun 1 2019
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: Jun 25 2019Jun 28 2019

Publication series

Name2019 18th European Control Conference, ECC 2019

Conference

Conference18th European Control Conference, ECC 2019
CountryItaly
CityNaples
Period6/25/196/28/19

Fingerprint

Feedback Loop
Parameterization
parameterization
controllers
Feedback
Controller
Controllers
Geometry
geometry
Parametrization
Model Matching
control theory
Control theory
Control Theory
Trivial
Interior
Semigroup

ASJC Scopus subject areas

  • Instrumentation
  • Control and Optimization

Cite this

Szabó, Z., & Bokor, J. (2019). Remarks on the geometry of the feedback loop. In 2019 18th European Control Conference, ECC 2019 (pp. 3340-3345). [8796189] (2019 18th European Control Conference, ECC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2019.8796189

Remarks on the geometry of the feedback loop. / Szabó, Z.; Bokor, J.

2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3340-3345 8796189 (2019 18th European Control Conference, ECC 2019).

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

Szabó, Z & Bokor, J 2019, Remarks on the geometry of the feedback loop. in 2019 18th European Control Conference, ECC 2019., 8796189, 2019 18th European Control Conference, ECC 2019, Institute of Electrical and Electronics Engineers Inc., pp. 3340-3345, 18th European Control Conference, ECC 2019, Naples, Italy, 6/25/19. https://doi.org/10.23919/ECC.2019.8796189
Szabó Z, Bokor J. Remarks on the geometry of the feedback loop. In 2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 3340-3345. 8796189. (2019 18th European Control Conference, ECC 2019). https://doi.org/10.23919/ECC.2019.8796189
Szabó, Z. ; Bokor, J. / Remarks on the geometry of the feedback loop. 2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 3340-3345 (2019 18th European Control Conference, ECC 2019).
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