Coupling MPC and HJB for the Computation of POD-based Feedback Laws
| Type of Publication: | Working Paper/Technical Report |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-oamlm1pravmr2 |
| Author: | Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan |
| Year of publication: | 2017 |
| Series: | Konstanzer Schriften in Mathematik ; 371 |
| Summary: |
In this paper we use a reference trajectory computed by a model predic- tive 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.
|
| Subject (DDC): | 510 Mathematics |
| Link to License: | In Copyright |
| Bibliography of Konstanz: | Yes |
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FABRINI, Giulia, Maurizio FALCONE, Stefan VOLKWEIN, 2017. Coupling MPC and HJB for the Computation of POD-based Feedback Laws
@techreport{Fabrini2017Coupl-40957, series={Konstanzer Schriften in Mathematik}, title={Coupling MPC and HJB for the Computation of POD-based Feedback Laws}, year={2017}, number={371}, author={Fabrini, Giulia and Falcone, Maurizio and Volkwein, Stefan} }
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