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Turnpike and dissipativity properties in dynamic real-time optimization and economic MPC
Publikationstyp
Conference Paper
Date Issued
2014
Sprache
English
Author(s)
Start Page
2734
End Page
2739
Article Number
7039808
Citation
IEEE 53rd Annual Conference on Decision and Control (CDC), 2014 : 15 - 17 Dec. 2014, Los Angeles, California, USA. - Piscataway, NJ, 2014. - Seite 2734-2739
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
IEEE
ISSN
07431546
ISBN
978-1-4673-6089-0
978-1-4673-6090-6
978-1-4799-7745-1
978-1-4799-7746-8
We investigate the turnpike and dissipativity properties of continuous-time optimal control problems. These properties play a key role in the analysis and design of schemes for dynamic real-time optimization and economic model predictive control. We show in a continuous-time setting that dissipativity of a system with respect to a steady state implies the existence of a turnpike at this steady state and optimal stationary operation at this steady state. Furthermore, we investigate the converse statements: We show that the existence of a turnpike at a steady state implies (a) that this steady state is the optimal steady state; and (b) that over an infinite horizon the system is optimally operated at this steady state. We draw upon a numerical example to illustrate our findings.
Subjects
dissipativity
dynamic real-time optimization
economic model predictive control
turnpike property
DDC Class
510: Mathematics