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The role of sampling for stability and performance in unconstrained nonlinear model predictive control

Title data

Worthmann, Karl ; Reble, Marcus ; Grüne, Lars ; Allgöwer, Frank:
The role of sampling for stability and performance in unconstrained nonlinear model predictive control.
Department of Mathematics, University of Bayreuth
In: SIAM Journal on Control and Optimization. Vol. 52 (2014) Issue 1 . - pp. 581-605.
ISSN 0363-0129
DOI: https://doi.org/10.1137/12086652X

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Project information

Project title:
Project's official titleProject's id
DFG Priority Programme 1305 "Control theory for digitally networked dynamical systems", Project "Development of decentralized asynchronous predictive control methods for digitally networked systems"GR1569/12-2

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We investigate the impact of sampling on stability and performance estimates in nonlinear model predictive control without stabilizing terminal constraints. Interpreting the sampling period as a discretization parameter, the relation between continuous and discrete time estimates depending on this parameter is analyzed. The technique presented in this paper allows to determine the sampling rate required in order to approximate the continuous time suboptimality bound arbitrarily well and, thus, gives insight into the trade-off between sampling time and guaranteed performance.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: A preliminary version was published at the homepage of the first author in February 2012.
Keywords: nonlinear model predictive control; performance guarantee; suboptimality estimate; sampling rate; multistep feedback laws; discretization; receding horizon control; relaxed Lyapunov inequality
Subject classification: Mathematics Subject Classification Code: 93C10 93C20 93C57 93B05 93D15 93D20 93D05
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 27 Apr 2015 14:54
Last Modified: 26 Apr 2016 08:40
URI: https://eref.uni-bayreuth.de/id/eprint/11284

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