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.
Coupling MPC and HJB for the computation of POD-based feedback laws / Fabrini, G.; Falcone, M.; Volkwein, S.. - (2019), pp. 941-949. - LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING. [10.1007/978-3-319-96415-7_89].
Coupling MPC and HJB for the computation of POD-based feedback laws
Falcone M.;Volkwein S.
2019
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
