Title data
Grüne, Lars ; Stieler, Marleen:
A Lyapunov function for economic MPC without terminal conditions.
In:
Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. 
Los Angeles, CA, USA
: Institute of Electrical and Electronics Engineers (IEEE)
,
2014
.  pp. 27402745
ISBN 9781479977468
DOI: https://doi.org/10.1109/CDC.2014.7039809
This is the latest version of this item.
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Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft Andere Elite Network of Bavaria 
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.
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A Lyapunov function for economic MPC without terminal conditions. (deposited 04 Apr 2015 21:00)
 A Lyapunov function for economic MPC without terminal conditions. (deposited 17 Apr 2015 08:29) [Currently Displayed]