A Combined Newton-Raphson and Gradient Parameter Correction Technique for Solution of Optimal-control Problems
Title | A Combined Newton-Raphson and Gradient Parameter Correction Technique for Solution of Optimal-control Problems PDF eBook |
Author | Ernest S. Armstrong |
Publisher | |
Pages | 76 |
Release | 1968 |
Genre | Boundary value problems |
ISBN |
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.
Combined Newton-Raphson and Gradient Parameter Correction Technique Parameter Correction Technique for Solution of Optimal-control Problems [with List of References]
Title | Combined Newton-Raphson and Gradient Parameter Correction Technique Parameter Correction Technique for Solution of Optimal-control Problems [with List of References] PDF eBook |
Author | |
Publisher | |
Pages | 61 |
Release | 1968 |
Genre | Boundary value problems |
ISBN |
A Combined Newton-Raphson and Gradient Parameter Correction Technique for Solution of Optimal-control Problems
Title | A Combined Newton-Raphson and Gradient Parameter Correction Technique for Solution of Optimal-control Problems PDF eBook |
Author | |
Publisher | |
Pages | 76 |
Release | 1968 |
Genre | |
ISBN |
NASA Technical Report
Title | NASA Technical Report PDF eBook |
Author | United States. National Aeronautics and Space Administration |
Publisher | |
Pages | 828 |
Release | 1968 |
Genre | Aerodynamics |
ISBN |
Monthly Catalog of United States Government Publications, Cumulative Index
Title | Monthly Catalog of United States Government Publications, Cumulative Index PDF eBook |
Author | United States. Superintendent of Documents |
Publisher | |
Pages | 1504 |
Release | 1979 |
Genre | United States |
ISBN |
Monthly Catalog of United States Government Publications
Title | Monthly Catalog of United States Government Publications PDF eBook |
Author | United States. Superintendent of Documents |
Publisher | |
Pages | 1464 |
Release | 1966 |
Genre | Government publications |
ISBN |
Scientific and Technical Aerospace Reports
Title | Scientific and Technical Aerospace Reports PDF eBook |
Author | |
Publisher | |
Pages | 1572 |
Release | 1992 |
Genre | Aeronautics |
ISBN |