Numerics for finite-dimensional optimal control problems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2022

Numerics for finite-dimensional optimal control problems

Abstract

We survey on numerics for finite-dimensional nonlinear optimal control. The chapter is written as a guide to practitioners who wish to get rapidly acquainted with the main numerical methods used to efficiently solve an optimal control problem. We consider throughout two classical examples, quite simple but representative enough to be complexified and generalized to other problems: the Zermelo and the Goddard problems. We provide their solving codes that are available on the web and make the point on the most up-to-date and efficient methods existing nowadays. We range on direct and indirect methods, on Hamilton-Jacobi approaches and we end with optimistic planning. Our examples illustrate the pros and cons of the methods and we also show how those various approaches can be combined in view of augmenting the efficiency of the numerical solving.
Fichier principal
Vignette du fichier
handbook.pdf (2.24 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03707475 , version 1 (28-06-2022)

Identifiers

  • HAL Id : hal-03707475 , version 1

Cite

Jean-Baptiste Caillau, Roberto Ferretti, Emmanuel Trélat, Hasnaa Zidani. Numerics for finite-dimensional optimal control problems. 2022. ⟨hal-03707475⟩
122 View
319 Download

Share

Gmail Facebook X LinkedIn More