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Numerical event-based ISS controller design via a dynamic game approach

URN to cite this document: urn:nbn:de:bvb:703-epub-1978-3

Title data

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.

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Project information

Project title:
Project's official titleProject'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", GrantGR1569/11-2

Project financing: 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.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): 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.
Keywords: event-based control; input-to-state-stability; dynamic game; set oriented
numerics; nonlinear systems
Subject classification: Mathematics Subject Classification Code: 93B51 (93D09 65P40)
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-1978-3
Date Deposited: 17 Apr 2015 07:00
Last Modified: 28 Mar 2019 15:43
URI: https://epub.uni-bayreuth.de/id/eprint/1978

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