Periodic trajectories that satisfy stability-based requirements are useful in many engineering applications. In this work, a time-domain approach using Fourier collocation for solving the Floquet eigenvector boundary value problem, and consequently estimating Floquet exponents and eigenvectors, is introduced. This method is incorporated into a Fourier pseudospectral trajectory optimization framework for generating open-loop stable solution, and for improving the damping of a specific mode identified using the information from Floquet eigenvectors. These applications are illustrated on the dynamic soaring solutions of three- and six-degree-of-freedom aircraft models, and numerical results highlighting the effectiveness of the pseudospectral Floquet computation over the traditional time-march approach are also presented.


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    Title :

    Fourier Pseudospectral Method for Trajectory Optimization with Stability Requirements


    Contributors:

    Published in:

    Publication date :

    2020-11-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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