Economic model predictive control without terminal constraints : optimal periodic operation

Titelangaben

Müller, Matthias A. ; Grüne, Lars:
Economic model predictive control without terminal constraints : optimal periodic operation.
In: Proceedings of the 54th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE , 2015 . - S. 4946-4951
DOI: https://doi.org/10.1109/CDC.2015.7402992

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Abstract

In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating regime is not steady-state operation, but periodic behavior. We first show by means of two counterexamples, that a classical receding horizon control scheme does not necessarily result in an optimal closed-loop performance. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we derive checkable dissipativity-like conditions in order to obtain closed-loop performance guarantees.