TY - JOUR AU - Etienne Bertin AU - Elliot Brendel AU - Bruno Hérissé AU - Julien Alexandre dit Sandretto AU - Alexandre Chapoutot PY - 2021/02/03 Y2 - 2024/03/28 TI - Prospects on Solving an Optimal Control Problem with Bounded Uncertainties on Parameters using Interval Arithmetics JF - Acta Cybernetica JA - Acta Cybern VL - 25 IS - 1 SE - Special Issue of SWIM 2019 DO - 10.14232/actacyb.285798 UR - https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/4142 AB - An interval method based on the Pontryagin Minimum Principle is proposed to enclose the solutions of an optimal control problem with embedded bounded uncertainties. This method is used to compute an enclosure of all optimal trajectories of the problem, as well as open loop and closed loop enclosures meant to enclose a concrete system using an optimal control regulator with inaccurate knowledge of the parameters. The differences in geometry of these enclosures are exposed, as well as some applications. For instance guaranteeing that the given optimal control problem will yield a satisfactory trajectory for any realization of the uncertainties or on the contrary that the problem is unsuitable and needs to be adjusted. ER -