Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4999810 | Automatica | 2017 | 8 Pages |
Abstract
This paper investigates the relations between three different properties, which are of importance in optimal control problems: dissipativity of the underlying dynamics with respect to a specific supply rate, optimal operation at steady state, and the turnpike property. We show in a continuous-time setting that if along optimal trajectories a strict dissipation inequality is satisfied, then this implies optimal operation at this steady state and the existence of a turnpike at the same steady state. Finally, we establish novel converse turnpike results, i.e., we show that the existence of a turnpike at a steady state implies optimal operation at this steady state and dissipativity with respect to this steady state. We draw upon a numerical example to illustrate our findings.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Timm Faulwasser, Milan Korda, Colin N. Jones, Dominique Bonvin,