A Comparison of the Gradient and Newton-Raphson Techniques for Reentry Trajectory Optimization PDF Download
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Author: William E. Henson
Publisher:
ISBN:
Category :
Languages : en
Pages : 172
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Book Description
The report contains a two-dimensional optimization analysis of reentry trajectories for minimization of space vehicle heating and maximization of terminal range, conducted for a lifting body reentry vehicle with a maximum lift-to-drag of three. Based on this analysis there appears to be a conflict between heat minimization and range maximization in that a high angle-of-attack is required to minimize the heating rate and a lower angle-of-attack is required to maximize range. Two optimization techniques were compared, a Newton-Raphson method and a steepest-descent gradient method. A modification of the gradient technique, which was based upon the variational Hamiltonian, was applied after convergence to a near-optimal solution, resulting in an improved control profile. (Author).
Author: William E. Henson
Publisher:
ISBN:
Category :
Languages : en
Pages : 172
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Book Description
The report contains a two-dimensional optimization analysis of reentry trajectories for minimization of space vehicle heating and maximization of terminal range, conducted for a lifting body reentry vehicle with a maximum lift-to-drag of three. Based on this analysis there appears to be a conflict between heat minimization and range maximization in that a high angle-of-attack is required to minimize the heating rate and a lower angle-of-attack is required to maximize range. Two optimization techniques were compared, a Newton-Raphson method and a steepest-descent gradient method. A modification of the gradient technique, which was based upon the variational Hamiltonian, was applied after convergence to a near-optimal solution, resulting in an improved control profile. (Author).
Author: William E. Henson (MAJ, USAF.)
Publisher:
ISBN:
Category : Space vehicles
Languages : en
Pages : 320
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Category : Aeronautics
Languages : en
Pages : 1102
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ISBN:
Category : Aeronautics
Languages : en
Pages : 892
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Category : Chemistry
Languages : en
Pages : 544
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Category : Dissertations, Academic
Languages : en
Pages : 194
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Author: Ernest S. Armstrong
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ISBN:
Category : Boundary value problems
Languages : en
Pages : 76
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Book Description
A parameter correction technique is developed to solve a boundary-value problem which frequently occurs in optimal-control theory. It is assumed that an indirect optimal-control method has been applied to a controllable dynamic system with a two-point boundary-value problem resulting such that the boundary conditions take the form of a set of unknown parameters to be determined to meet an equal number of terminal conditions. The optimal-control law is a piecewise continuous function with discontinuities occurring only at the zeros of certain continuous functions. A procedure is developed to improve upon an assumed set of parameters so that, by repetitive use of a correction formula, a monotonic decreasing sequence of values of a positive definitive function that measures the terminal errors is produced. The direction of the correction vector is found to lie between the directions given by the gradient and the Newton-Raphson procedures. Integral equations are derived for influence matrices that describe the effect of a change in the parameters on the terminal conditions. The procedure is successfully applied to the determination of both planar and nonplanar fuel-optimal trajectories for a space vehicle which is launched from the surface of the moon and required to rendezvous with a space vehicle in a circular orbit.
Author:
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Category : Research
Languages : en
Pages : 902
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Author:
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ISBN:
Category : Science
Languages : en
Pages : 256
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Author:
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ISBN:
Category : Government publications
Languages : en
Pages : 926
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