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
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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 |
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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: | 28 Mar 2019 11:57 |
URI: | https://epub.uni-bayreuth.de/id/eprint/1975 |