Numerical ISS controller design via a dynamic game approach

URN to cite this document: urn:nbn:de:bvb:703-epub-1976-2

Title data

Grüne, Lars ; Sigurani, Manuela:
Numerical ISS controller design via a dynamic game approach.
Department of Mathematics, University of Bayreuth
Bayreuth , 2013 . - 6 S.

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Name:	Gruene_Sigurani_num_iss_controller_design_dyn_game_appr_2013.pdf
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Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Project information

Project title:

Project's official title	Project's id
Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)	264735-SADCO
DFG Priority Program 1305 "Control theory for digitally networked dynamical systems", Grant	GR1569/11-2

Project financing:

7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union
Deutsche Forschungsgemeinschaft

Abstract

We present a numerical design method for an input-to-state practically stabilizing (ISpS) feedback controller for perturbed discrete time nonlinear control systems. By appropriately scaling the system, the problem of ISpS controller design can be converted into a uniform practical stabilization problem under perturbations which can be solved by a numerical dynamic game approach. We present and analyze this approach with a particular focus on a quantitative analysis of the resulting gain and the size of the exceptional region for practical stability.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC 2013). - Piscataway, NJ : IEEE , 2013 . - S. 1732-1737 ISBN 978-1-4673-5714-2 DOI: https://doi.org/10.1109/CDC.2013.6760132
Keywords:	robust control; input-to-state practical stability; feedback design
DDC Subjects:	500 Science > 510 Mathematics
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-1976-2
Date Deposited:	17 Apr 2015 06:52
Last Modified:	02 Jun 2021 08:51
URI:	https://epub.uni-bayreuth.de/id/eprint/1976

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