A temporal finite element based on a mixed form of Hamilton's weak principle is summarized for optimal control problems. The resulting weak Hamiltonian finite element method is extended to allow for discontinuities in the states and/or discontinuities in the system equations. An extension of the formulation to allow for control inequality constraints is also presented. The formulation does not require element quadrature, and it produces a sparse system of nonlinear algebraic equations. To evaluate its feasibility for real-time guidance applications, this approach is applied to the trajectory optimization of a four-state, two-stage model with inequality constraints for an advanced launch vehicle. Numerical results for this model are presented and compared to results from a multiple-shooting code. The results show the accuracy and computational efficiency of the finite element method.


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    Title :

    Finite element method for optimal guidance of an advanced launch vehicle


    Contributors:


    Publication date :

    1992-06-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English


    Keywords :


    Finite element method for optimal guidance of an advanced launch vehicle

    HODGES, DEWEY H. / BLESS, ROBERT R. / CALISE, ANTHONY J. et al. | AIAA | 1992


    Errata: Finite Element Method for Optimal Guidance of an Advanced Launch Vehicle

    Dewey H. Hodges / Anthony J. Calise / Robert R. Bless et al. | AIAA | 1992


    An approach to optimal guidance of an advanced launch vehicle concept

    Leung, Martin S. / Calise, Anthony J. | NTRS | 1990