Turnpike and dissipativity properties in dynamic real-time optimization and economic MPC

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.


Presented at:
53rd IEEE Conference on Decision and Control, Los Angeles, California, USA, December 15-17, 2014
Year:
2014
Keywords:
Note:
Invited paper.
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 Record created 2014-03-20, last modified 2018-03-17

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