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.
Finite element method for optimal guidance of an advanced launch vehicle
Journal of Guidance, Control, and Dynamics ; 15 , 3 Ma
1992-06-01
Miscellaneous
No indication
English
Techniques for Developing Approximate Optimal Advanced Launch System Guidance
Online Contents | 1994
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