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Predictive control algorithms : stability despite shortened optimization horizons

Title data

Braun, Philipp ; Pannek, Jürgen ; Worthmann, Karl:
Predictive control algorithms : stability despite shortened optimization horizons.
In: Lambertini, Luca (Hrsg.): 15th 2012 IFAC Workshop on Control Applications of Optimization. - Rimini , 2013 . - pp. 274-279
ISBN 978-3-902823-14-4
DOI: https://doi.org/10.3182/20120913-4-IT-4027.00042

This is the latest version of this item.

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 in another language

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: Article in a book
Refereed: Yes
Keywords: robust control and stabilization; real-time control problems; optimal control
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)
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 29 Apr 2015 10:03
Last Modified: 01 Oct 2018 10:18
URI: https://eref.uni-bayreuth.de/id/eprint/11566

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