Journal
AUTOMATICA
Volume 49, Issue 3, Pages 725-734Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2012.12.003
Keywords
Economic MPC; Turnpike property; Controllability
Funding
- European Union [264735-SADCO]
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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. Two examples illustrate our Findings numerically and show how to verify the imposed assumptions. (C) 2012 Elsevier Ltd. All rights reserved.
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