A hyperbolic view on robust control

Z. Szabó, J. Bokor, T. Vamos

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

6 Citations (Scopus)

Abstract

The intention of the paper is to demonstrate the beauty of geometric interpretations in robust control. We emphasize Klein's approach, i.e., the view in which geometry should be defined as the study of transformations and of the objects that transformations leave unchanged, or invariant. We demonstrate through the examples of the basic control tasks that a natural framework to formulate different control problems is the world that contains as points the equivalence classes determined by the stabilizable plants and whose natural motions are the Möbius transforms. Transformations of certain hyperbolic spaces put light into the relations of the different approaches, provide a common background of robust control design techniques and suggest a unified strategy for problem solutions. Besides the educative value a merit of the presentation for control engineers might be a unified view on the robust control problems that reveals the main structure of the problem at hand and give a skeleton for the algorithmic development.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
PublisherIFAC Secretariat
Pages718-723
Number of pages6
Volume19
ISBN (Print)9783902823625
Publication statusPublished - 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: Aug 24 2014Aug 29 2014

Other

Other19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
CountrySouth Africa
CityCape Town
Period8/24/148/29/14

Fingerprint

Robust control
Equivalence classes
Engineers
Geometry

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Szabó, Z., Bokor, J., & Vamos, T. (2014). A hyperbolic view on robust control. In 19th IFAC World Congress IFAC 2014, Proceedings (Vol. 19, pp. 718-723). IFAC Secretariat.

A hyperbolic view on robust control. / Szabó, Z.; Bokor, J.; Vamos, T.

19th IFAC World Congress IFAC 2014, Proceedings. Vol. 19 IFAC Secretariat, 2014. p. 718-723.

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

Szabó, Z, Bokor, J & Vamos, T 2014, A hyperbolic view on robust control. in 19th IFAC World Congress IFAC 2014, Proceedings. vol. 19, IFAC Secretariat, pp. 718-723, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, South Africa, 8/24/14.
Szabó Z, Bokor J, Vamos T. A hyperbolic view on robust control. In 19th IFAC World Congress IFAC 2014, Proceedings. Vol. 19. IFAC Secretariat. 2014. p. 718-723
Szabó, Z. ; Bokor, J. ; Vamos, T. / A hyperbolic view on robust control. 19th IFAC World Congress IFAC 2014, Proceedings. Vol. 19 IFAC Secretariat, 2014. pp. 718-723
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