Towards velocity turnpikes in optimal control of mechanical systems

Publikationstyp
Conference Paper
Date Issued
2019-09-01
Sprache
English
Author(s)
Faulwasser, Timm  
Flaßkamp, Kathrin
Ober-Blöbaum, Sina
Worthmann, Karl  
TORE-URI
https://hdl.handle.net/11420/46220
Journal
IFAC-PapersOnLine  
Volume
52
Issue
16
Start Page
490
End Page
495
Citation
IFAC-PapersOnLine 52 (16): 490-495 (2019)
Contribution to Conference
11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019  
Publisher DOI
10.1016/j.ifacol.2019.12.009
Scopus ID
2-s2.0-85077449019
Publisher
IFAC
The paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady states, and hyperbolic velocity turnpike properties for analysis and control. We show for a specific example that, for all finite horizons, both the (essential part of the) optimal solution and the orbit of the time-varying turnpike correspond to (optimal) trim solutions. Hereby, the present paper appears to be the first to combine the concepts of trim primitives and time-varying turnpike properties.
Subjects
Mechanical systems
Optimal control
(Partial) steady state
Symmetries
Trim primitives
Turnpike property
Velocity steady state
DDC Class
004: Computer Sciences
510: Mathematics