An interior penalty method for optimal control problems with state and input constraints of non-linear systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Optimal Control Applications and Methods Année : 2014

An interior penalty method for optimal control problems with state and input constraints of non-linear systems

(1) , (2) , (2)
1
2
Paul Malisani
  • Fonction : Auteur
  • PersonId : 963626
François Chaplais
Nicolas Petit

Résumé

This paper exposes a methodology to solve state and input constrained optimal control problems for nonlinear systems. In the presented ‘interior penalty’ approach, constraints are penalized in a way that guarantees the strict interiority of the approaching solutions. This property allows one to invoke simple (without constraints) stationarity conditions to characterize the unknowns. A constructive choice for the penalty functions is exhibited. The property of interiority is established, and practical guidelines for implementation are given. A numerical benchmark example is given for illustration.

Dates et versions

hal-01111710 , version 1 (30-01-2015)

Identifiants

Citer

Paul Malisani, François Chaplais, Nicolas Petit. An interior penalty method for optimal control problems with state and input constraints of non-linear systems. Optimal Control Applications and Methods, 2014, pp.10.1002/oca.2134. ⟨10.1002/oca.2134⟩. ⟨hal-01111710⟩
135 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More