https://hal.inria.fr/inria-00636102Grüne, LarsLarsGrüneMathematisches Institut [Bayreuth] - Universität BayreuthEconomic receding horizon control without terminal constraintsHAL CCSD2013sadco[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Bouzat, EstelleSensitivity Analysis for Deterministic Controller Design - SADCO - - EC:FP7:PEOPLE2011-01-01 - 2014-12-31 - 264735 - VALID - 2011-10-26 16:59:332017-10-13 17:08:162011-10-26 17:47:40enJournal articleshttps://hal.inria.fr/inria-00636102/document10.1016/j.automatica.2012.12.003application/pdf1We consider a receding horizon control scheme without terminal constraints in which the stage cost is de ned 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 in nite 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 ndings numerically and show how to verify the imposed assumptions.