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Construction of event-based ISS controllers on coarse quantizations

URN to cite this document: urn:nbn:de:bvb:703-epub-1975-7

Title data

Grüne, Lars ; Sigurani, Manuela:
Construction of event-based ISS controllers on coarse quantizations.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 6 S.

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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 consider the construction of event-based input-to-state stabilizing state feedback controllers for perturbed nonlinear discrete time systems. The controllers are designed to be constant on possibly coarse quantization regions. An event is triggered upon every transition of the state from one quantization region to another. The practical contribution of the paper is an algorithmic design approach based on game theoretic ideas, feasible for low dimensional systems. The theoretical contribution consists of a novel piecewise constant event-based ISS Lyapunov function concept which is consistent with the imposed quantization.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen in:
2014 IEEE 53rd Annual Conference on Decision and Control (CDC 2014). - Piscataway, NJ : IEEE , 2014 . - S. 836-841
ISBN 978-1-4799-7746-8
DOI: https://doi.org/10.1109/CDC.2014.7039485
Keywords: event-based control; quantization; input-to-state stability; controller 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-1975-7
Date Deposited: 17 Apr 2015 06:49
Last Modified: 01 Jun 2021 09:37
URI: https://epub.uni-bayreuth.de/id/eprint/1975
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