DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control"

GR 1569/13-1

DFG-Project "Model Predictive Control for the Fokker-Planck Equation"

GR 1569/15-1

DFG-Project "Model predictive PDE control for energy efficient building operation: Economic model predictive control and time varying systems"

GR 1569/16-1

DFG-Project "Regulation of Mobile Robots using Model Predictive Control:
Set Point Stabilization, Path Following, and Distributed Control"

WO 2056/1-1

DFG-Project "Regulation of Mobile Robots using Model Predictive Control:
Beyond Set Point Stabilization"

WO 2056/4-1

Helmholtz Association, Joint Initiative "Energy System 2050 – A Contribution of the Research Field Energy"

No information

Baden-Württemberg Stiftung, Elite Programme for Postdocs

No information

Project financing:

Deutsche Forschungsgemeinschaft

Abstract in another language

Abstract: In recent years, Economic Model Predictive Control (empc) has received considerable attention of many research groups. The present tutorial survey summarizes state-of-the-art approaches in empc. In this context empc is to be understood as receding-horizon optimal control with a stage cost that does not simply penalize the distance to a desired equilibrium but encodes more sophisticated economic objectives. This survey provides a comprehensive overview of empc stability results: with and without terminal constraints, with and without dissipativtiy assumptions, with averaged constraints, formulations with multiple objectives and generalized terminal constraints as well as Lyapunov-based approaches. Moreover, we compare different performance criteria for some of the considered approaches and comment on the connections to recent research on dissipativity of optimal control problems. We consider a discrete-time setting and point towards continuous-time variants. We illustrate the different empc schemes with several examples.