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Stability of Constrained Adaptive Model Predictive Control Algorithms

URN to cite this document: urn:nbn:de:bvb:703-epub-1965-1

Title data

Jahn, Thomas U. ; Pannek, Jürgen:
Stability of Constrained Adaptive Model Predictive Control Algorithms.
Department of Mathematics, University of Bayreuth
Bayreuth , 2011 . - 6 S.

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Available under License	German copyright law. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Project information

Project title:	Project's official title Project's id DFG Grant Gr1569/12-1 Leopoldina Fellowship Programme LPDS 2009-36
Project financing:	Deutsche Forschungsgemeinschaft Leopoldina Nationale Akademie der Wissenschaften

Abstract

Recently, suboptimality estimates for model predictive controllers (MPC) have been derived for the case without additional stabilizing endpoint constraints or a Lyapunov function type endpoint weight. The proposed methods yield a posteriori and a priori estimates of the degree of suboptimality with respect to the infinite horizon optimal control and can be evaluated at runtime of the MPC algorithm. Our aim is to design automatic adaptation strategies of the optimization horizon in order to guarantee stability and a predefined degree of suboptimality for the closed loop solution. Here, we present a stability proof for an arbitrary adaptation scheme and state a simple shortening and prolongation strategy which can be used for adapting the optimization horizon.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erscheint in: Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. - Milano, Italy : International Federation of Automatic Control (IFAC) , 2011 . - S. 9272-9277 . - (World Congress ; 18 ) ISBN 978-3-902661-93-7 DOI: https://doi.org/10.3182/20110828-6-IT-1002.01430
Keywords:	adaptive control; model predictive control; stability; suboptimality; sampled-data control; sampled-data systems
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) 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-1965-1
Date Deposited:	25 Mar 2015 12:03
Last Modified:	07 Jun 2021 11:41
URI:	https://epub.uni-bayreuth.de/id/eprint/1965

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