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Unconstrained nonlinear MPC: performance estimates for sampled-data systems with zero order hold

URN to cite this document: urn:nbn:de:bvb:703-epub-2023-0

Title data

Worthmann, Karl ; Reble, Marcus ; Grüne, Lars ; Allgöwer, Frank:
Unconstrained nonlinear MPC: performance estimates for sampled-data systems with zero order hold.
Institute for Mathematics, Technische Universität Ilmenau, Institute for Systems Theory and Automatic Control, University of Stuttgart, Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 6 S.

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Abstract

In this paper, model predictive control (MPC) schemes without stabilizing terminal constraints and/or costs are considered for continuous time systems governed by ordinary differential equations. Satisfactory estimates of the required prediction horizon length such that the MPC closed loop is asymptotically stable were recently proposed. However, their applicability is, in general, limited by the fact that the respective proofs require possible discontinuities of the input functions at arbitrary (and a priori unknown) switching times. We present a technique which allows to determine a suitable discretization accuracy such that the obtained performance bound is arbitrarily well recovered for sampled-data systems with zero order hold.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): This paper is a substantially revised conference version of https://eref.uni-bayreuth.de/id/eprint/10514.
Keywords: model predictive control; performance estimates; 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)
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-2023-0
Date Deposited: 24 Apr 2015 07:32
Last Modified: 28 Mar 2019 15:20
URI: https://epub.uni-bayreuth.de/id/eprint/2023

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