ERef Bayreuth

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

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 p.

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Abstract in another language

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:	This paper is a substantially revised conference version of https://eref.uni-bayreuth.de/id/eprint/10514. Accepted for Publication at the 54th IEEE Conference on Decision and Control
Keywords:	model predictive control; performance estimates; sampled-data systems
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
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	25 Apr 2015 21:00
Last Modified:	29 Jul 2015 06:01
URI:	https://eref.uni-bayreuth.de/id/eprint/11524

Available Versions of this Item

Unconstrained nonlinear MPC: performance estimates for sampled-data systems with zero order hold. (deposited 25 Apr 2015 21:00) [Currently Displayed]
- Unconstrained nonlinear MPC : performance estimates for sampled-data systems with zero order hold. (deposited 29 Jan 2016 08:09)