Accession Number : AD0772561

Title :   Sequential Gradient-Restoration Algorithm for Optimal Control Problems with Nondifferential Constraints. Part I. Theory,

Corporate Author : RICE UNIV HOUSTON TEX AERO-ASTRONAUTICS GROUP

Personal Author(s) : Miele,A. ; Damoulakis,J. N. ; Cloutier,J. R.

Report Date : 1973

Pagination or Media Count : 46

Abstract : The paper considers the numerical solution of optimal control problems involving a functional subject to differential constraints, nondifferential constraints, and terminal constraints. The problem is to find the state x(t), the control u(t), and the parameter pi so that the functional is minimized, while the constraints are satisfied to a predetermined accuracy. The approach taken is a sequence of two-phase processes or cycles, composed of a gradient phase and a restoration phase. The gradient phase involves a single iteration and is designed to decrease the functional, while the constraints are satisfied to first order. The restoration phase involves one or several iterations and is designed to restore the constraints to a predetermined accuracy, while the norm of the variations of the control and the parameter is minimized. (Author)

Descriptors :   *Control theory, Differential equations, Calculus of variations, Iterations, Algorithms, Optimization

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE