A weak Hamiltonian finite element method for optimal guidance of an advanced launch vehicleA temporal finite-element method based on a mixed form of the Hamiltonian weak principle is presented for optimal control problems. The mixed form of this principle contains both states and costates as primary variables, which are expanded in terms of nodal values and simple shape functions. Time derivatives of the states and costates do not appear in the governing variational equation; the only quantities whose time derivatives appear therein are virtual states and virtual costates. Numerical results are presented for an elementary trajectory optimization problem; they show very good agreement with the exact solution along with excellent computational efficiency and self-starting capability. The feasibility of this approach for real-time guidance applications is evaluated. A simplified model for an advanced launch vehicle application that is suitable for finite-element solution is presented.
Document ID
19890066680
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hodges, Dewey H. (Georgia Inst. of Tech. Atlanta, GA, United States)
Calise, Anthony J. (Georgia Inst. of Tech. Atlanta, GA, United States)
Bless, Robert R. (Georgia Inst. of Tech. Atlanta, GA, United States)
Leung, Martin (Georgia Institute of Technology Atlanta, United States)