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Coupling MPC and HJB for the Computation of POD-Based Feedback Laws

  • Giulia FabriniEmail author
  • Maurizio Falcone
  • Stefan Volkwein
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

Abstract

In this paper we use a reference trajectory computed by a model predictive method to shrink the computational domain where we set the Hamilton-Jacobi Bellman (HJB) equation. Via a reduced-order approach based on proper orthogonal decomposition(POD), this procedure allows for an efficient computation of feedback laws for systems driven by parabolic equations. Some numerical examples illustrate the successful realization of the proposed strategy.

Notes

Acknowledgements

G. Fabrini gratefully acknowledges support by the German Science Fund DFG grant Reduced-Order Methods for Nonlinear Model Predictive Control.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Giulia Fabrini
    • 1
    Email author
  • Maurizio Falcone
    • 2
  • Stefan Volkwein
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of KonstanzKonstanzGermany
  2. 2.Dipartimento di MatematicaLa Sapienza Università di RomaRomaItaly

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