Solving trajectory optimization problems in the presence of probabilistic constraints

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dc.contributor.authorChai, Runqi
dc.contributor.authorSavvaris, Al
dc.contributor.authorTsourdos, Antonios
dc.contributor.authorChai, Senchun
dc.contributor.authorXia, Yuanqing
dc.contributor.authorWang, Shuo
dc.date.accessioned2020-03-10T20:19:09Z
dc.date.available2020-03-10T20:19:09Z
dc.date.issued2019-02-07
dc.description.abstractThe objective of this paper is to present an approximation-based strategy for solving the problem of nonlinear trajectory optimization with the consideration of probabilistic constraints. The proposed method defines a smooth and differentiable function to replace probabilistic constraints by the deterministic ones, thereby converting the chance-constrained trajectory optimization model into a parametric nonlinear programming model. In addition, it is proved that the approximation function and the corresponding approximation set will converge to that of the original problem. Furthermore, the optimal solution of the approximated model is ensured to converge to the optimal solution of the original problem. Numerical results, obtained from a new chance-constrained space vehicle trajectory optimization model and a 3-D unmanned vehicle trajectory smoothing problem, verify the feasibility and effectiveness of the proposed approach. Comparative studies were also carried out to show the proposed design can yield good performance and outperform other typical chance-constrained optimization techniques investigated in this paper.en_UK
dc.identifier.citationChai R, Savvaris A, Tsourdos A, et al., (2020) Solving trajectory optimization problems in the presence of probabilistic constraints. IEEE Transactions on Cybernetics, Volume 50, Issue 10, October 2020, pp. 4332-4345en_UK
dc.identifier.issn2168-2267
dc.identifier.urihttps://doi.org/10.1109/TCYB.2019.2895305
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/15266
dc.language.isoenen_UK
dc.publisherIEEEen_UK
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectApproximation functionen_UK
dc.subjectchance-constraineden_UK
dc.subjectnonlinear programmingen_UK
dc.subjectprobabilistic constraintsen_UK
dc.subjecttrajectory optimizationen_UK
dc.titleSolving trajectory optimization problems in the presence of probabilistic constraintsen_UK
dc.typeArticleen_UK

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