Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Predictive control algorithms: stability despite shortened optimization horizons

URN to cite this document: urn:nbn:de:bvb:703-epub-1985-2

Title data

Braun, Philipp ; Pannek, Jürgen ; Worthmann, Karl:
Predictive control algorithms: stability despite shortened optimization horizons.
Department of Mathematics, University of Bayreuth
Bayreuth, Germany , 2012 . - 6 S.

[img] PDF
predictive_control_alg2012_braun_pannek_worthmann.pdf - Accepted Version
Available under License Deutsches Urheberrechtsgesetz .

Download (411kB)

Project information

Project title:
Project's official titleProject's id
BMBF project "SNiMoRed"03MS633G
DFG Priority Research Programme 1305 "Control Theory of Digitally Networked Dynamical Systems", Project "Development of asynchronous predictive control methods for digitally networked dynamical systems"GR1569/12-1

Project financing: Bundesministerium für Bildung und Forschung
Deutsche Forschungsgemeinschaft

Abstract

The stability analysis of model predictive control schemes without terminal constraints and/or costs has attracted considerable attention during the last years. We pursue a recently proposed approach which can be used to determine a suitable optimization horizon length for nonlinear control systems governed by ordinary differential equations. In this context, we firstly show how the essential growth assumption involved in this methodology can be derived and demonstrate this technique by means of a numerical example. Secondly, inspired by corresponding results, we develop an algorithm which allows to reduce the required optimization horizon length while maintaining asymptotic stability or a desired performance bound. Last, this basic algorithm is further elaborated in order to enhance its robustness properties.

Further data

Item Type: Preprint, postprint
Keywords: robust control and stabilization; real-time control problems; optimal control
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: 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 > Advanced Fields > Nonlinear Dynamics
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)
Profile Fields
Profile Fields > Advanced Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-1985-2
Date Deposited: 17 Apr 2015 07:03
Last Modified: 28 Mar 2019 15:41
URI: https://epub.uni-bayreuth.de/id/eprint/1985

Downloads

Downloads per month over past year