Economic receding horizon control without terminal constraints

L. Grüne: Economic receding horizon control without terminal constraints
Automatica, 49, 725 - 734, 2013

DOI: 10.1016/j.automatica.2012.12.003
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Abstract:

We consider a receding horizon control scheme without terminal constraints in which the stage cost is defined by economic criteria, i.e., not necessarily linked to a stabilization or tracking problem. We analyze the performance of the resulting receding horizon controller with a particular focus on the case of optimal steady states for the corresponding averaged infinite horizon problem. Using a turnpike property and suitable controllability properties we prove near optimal performance of the controller and convergence of the closed loop solution to a neighborhood of the optimal steady state. Several examples illustrate our findings numerically and show how to verify the imposed assumptions.

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