An HJB-POD approach for the control of nonlinear PDEs on a tree structure

DOI10.1016/j.apnum.2019.11.023zbMath1437.49039arXiv1905.03395OpenAlexW2991756765WikidataQ114208280 ScholiaQ114208280MaRDI QIDQ1989385

Alessandro Alla, Luca Saluzzi

Publication date: 21 April 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03395

zbMATH Keywords

optimal controlerror estimatesmodel order reductionproper orthogonal decomposition (POD)Hamilton-Jacobi-Bellman (HJB) equationtree structure

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Optimal feedback synthesis (49N35) Feedback control (93B52) Dynamic programming (90C39) Discrete approximations in optimal control (49M25) Hamilton-Jacobi equations (35F21)

Related Items (7)

Error Estimates for a Tree Structure Algorithm Solving Finite Horizon Control Problems ⋮ Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats ⋮ An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations ⋮ HJB-RBF based approach for the control of PDEs ⋮ Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD ⋮ A tree structure algorithm for optimal control problems with state constraints ⋮ Error Estimates for a POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows

Uses Software

• BRENT

Cites Work

• Unnamed Item
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