On turnpike and dissipativity properties of continuous-time optimal control problems

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. (C) 2017 Elsevier Ltd. All rights reserved.


Published in:
Automatica, 81, 297-304
Year:
2017
Publisher:
Oxford, Pergamon-Elsevier Science Ltd
ISSN:
0005-1098
Keywords:
Laboratories:




 Record created 2017-07-10, last modified 2018-03-17


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