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Article dans une revue

Impact of regular perturbations in input constrained optimal control problems

Abstract : 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.
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Article dans une revue
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https://hal-mines-paristech.archives-ouvertes.fr/hal-02558743
Contributeur : François Chaplais <>
Soumis le : mercredi 29 avril 2020 - 18:49:50
Dernière modification le : mercredi 14 octobre 2020 - 03:43:43

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D. Maamria, François Chaplais, A. Sciarretta, Nicolas Petit. Impact of regular perturbations in input constrained optimal control problems. Optimal Control Applications and Methods, Wiley, 2020, pp.1- 31. ⟨10.1002/oca.2605⟩. ⟨hal-02558743⟩

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