Impact of regular perturbations in input constrained optimal control problems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Optimal Control Applications and Methods Année : 2020

Impact of regular perturbations in input constrained optimal control problems

(1) , (2) , (3) , (2)
1
2
3
François Chaplais
A. Sciarretta
  • Fonction : Auteur
  • PersonId : 936484
Nicolas Petit

Résumé

This article explores the impact of regular perturbations (ie, small terms) in input constrained optimal control problems for nonlinear systems. In detail, it is shown that perturbation terms of magnitude ε appearing in the dynamics or the cost function lead to a variation of magnitude Kε2 in the optimal cost. The scale factor K can be estimated from the nominal (ε=0) solution and the analytic expressions of the perturbations. This result extends existing results that have been established in the absence of input constraints. Technically, the result is proven by means of interior penalties which allow constructing a sequence of suboptimal feasible solutions. Two numerical examples serve as illustration.
Fichier non déposé

Dates et versions

hal-02558743 , version 1 (29-04-2020)

Identifiants

Citer

D. Maamria, François Chaplais, A. Sciarretta, Nicolas Petit. Impact of regular perturbations in input constrained optimal control problems. Optimal Control Applications and Methods, 2020, 41 (4), pp.1321-1351. ⟨10.1002/oca.2605⟩. ⟨hal-02558743⟩
54 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More