On the role of dissipativity in economic model predictive control

Titelangaben

Müller, Matthias A. ; Grüne, Lars ; Allgöwer, Frank:
On the role of dissipativity in economic model predictive control.
Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth
Bayreuth, Germany , 2015 . - 7 S.

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Abstract

In this paper, we examine and discuss the role of dissipativity in economic model predictive control. We review some recent results relating dissipativity with the concept of optimal steady-state operation, and we show that strict dissipativity is necessary and sufficient for a slightly stronger property than optimal steady-state operation. We discuss the importance of this result for giving closed-loop performance guarantees in economic MPC. Furthermore, we present extensions for the case of optimal periodic operation.