Accession Number : AD0717748

Title :   Modifications and Extensions of the Sequential Gradient-Restoration Algorithm for Optimal Control Theory,

Corporate Author : RICE UNIV HOUSTON TEX AERO-ASTRONAUTICS GROUP

Personal Author(s) : Miele,Angelo ; Damoulakis,John N.

Report Date : 1970

Pagination or Media Count : 47

Abstract : In a previous paper, the sequential gradient-restoration algorithm for minimizing a functional subject to certain differential equations and boundary conditions was developed. This algorithm, here called Algorithm (alpha), includes the alternate succession of gradient phases and restoration phases. In the gradient phase, the first-order change of the functional is minimized subject to the linearized differential equations, the linearized boundary conditions, and a quadratic constraint on the variations of the control and the parameter. In the restoration phase, the differential equations and the boundary conditions are restored to a predetermined degree of accuracy, subject to the least-square change of the control and the parameter. In the report, several modifications and extensions of algorithm (alpha) are studied. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), DIFFERENTIAL EQUATIONS, HAMILTONIAN, ITERATIONS, LEAST SQUARES METHOD, INTEGRALS, NUMERICAL INTEGRATION, ALGORITHMS, OPTIMIZATION, CONVERGENCE

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE