Title data
Grüne, Lars ; Stieler, Marleen:
A Lyapunov function for economic MPC without terminal conditions.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2014
.  6 p.
Official URL:
Project information
Project title: 
Project's official title  Project's id 

MarieCurie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)  264735SADCO  International Doctorate Program "Identification, Optimization and Control with Applications in Modern Technologies"  KNW2004143  DFG Priority Program 1305 "Control theory for digitally networked dynamical systems", DFG Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control"  GR 1569/131 

Abstract in another language
We consider nonlinear economic model predictive control (MPC) without terminal constraints or costs. We show that under suitable conditions, consisting of strict dissipativity, the turnpike property and appropriate continuity properties, a practical Lyapunov function exists for the MPC closed loop. This Lyapunov function is given by the optimal value function of the optimal control problem with rotated stage costs originating from the dissipativity condition. Alternative sufficient conditions in terms of suitable controllability properties and finite time optimality of the closed loop trajectories during the transient phase are also discussed.
Further data
Available Versions of this Item

A Lyapunov function for economic MPC without terminal conditions. (deposited 04 Apr 2015 21:00)
[Currently Displayed]