bei Google ScholarTitelangaben
Grüne, Lars ; Sigurani, Manuela:
Numerical event-based ISS controller design via a dynamic game approach.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2014
. - 17 S.
Volltext
Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-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 |
|---|---|
| Projektfinanzierung: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft |
Abstract
We present an event-based numerical design method for a input-to-state practically stabilizing (ISpS) state feedback controller for perturbed nonlinear discrete time systems. The controllers are designed to be constant on quantization regions which are not assumed to be small. A transition of the state from one quantization region to another triggers an event upon which the control value changes.
The controller construction relies on the conversion of the ISS design problem into a robust controller design problem which is solved by a set oriented discretization technique followed by the solution of a dynamic game on a hypergraph. 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 in an event-based setting.
Weitere Angaben
| Publikationsform: | Preprint, Postprint |
|---|---|
| Zusätzliche Informationen: | first version in 2014, revised version in 2015
A preliminary version of this paper was presented at the 53rd IEEE Conference on Decision and Control. Accepted for publication in the Journal of Computational Dynamics |
| Keywords: | event-based control; input-to-state-stability; dynamic game; set oriented numerics; nonlinear systems |
| Fachklassifikationen: | Mathematics Subject Classification Code: 93B51 (93D09 65P40) |
| Institutionen der Universität: | Fakultäten Fakultäten > Fakultät für Mathematik, Physik und Informatik Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik) Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik) > Lehrstuhl Mathematik V (Angewandte Mathematik) - Univ.-Prof. Dr. Lars Grüne Profilfelder Profilfelder > Advanced Fields Profilfelder > Advanced Fields > Nichtlineare Dynamik |
| Titel an der UBT entstanden: | Ja |
| Themengebiete aus DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Eingestellt am: | 18 Apr 2015 21:00 |
| Letzte Änderung: | 29 Jul 2015 06:15 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/10500 |
Zu diesem Eintrag verfügbare Versionen
- Numerical event-based ISS controller design via a dynamic game approach. (deposited 18 Apr 2015 21:00) [Aktuelle Anzeige]