Impact of regular perturbations in input constrained optimal control problems
05 20 Category: Optimal Control | All
Authors: D. Maamria, F. Chaplais, A. Sciarretta, N. Petit, Optimal Control, Applications and Methods, Vol 41(4), pp. 1321-1351, 2020
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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BibTeX
@Article{2020-04-29,
author = {F. Chaplais D. Maamria, A. Sciarretta, N. Petit},
title = {Impact of regular perturbations in input constrained optimal control problems},
journal = {Optimal Control, Applications and Methods},
volume = {41},
number = {4},
pages = {1321-1351},
year = {2020},
}
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.
Download PDF
BibTeX
@Article{2020-04-29,
author = {F. Chaplais D. Maamria, A. Sciarretta, N. Petit},
title = {Impact of regular perturbations in input constrained optimal control problems},
journal = {Optimal Control, Applications and Methods},
volume = {41},
number = {4},
pages = {1321-1351},
year = {2020},
}