Accession Number : AD0761787

Title :   Sequential Gradient-Restoration Algorithm for Optimal Control Problems with Bounded State Variables. Part 1. Theory,

Corporate Author : RICE UNIV HOUSTON TEX AERO-ASTRONAUTICS GROUP

Personal Author(s) : Hennig,G. R. ; Miele,A.

Report Date : 1972

Pagination or Media Count : 63

Abstract : The paper considers the numerical solution of optimal control problems involving a functional I subject to differential constraints, a state variable inequality constraint, 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. (Modified author abstract)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), DIFFERENTIAL EQUATIONS, INEQUALITIES, MATRICES(MATHEMATICS), CALCULUS OF VARIATIONS, FUNCTIONAL ANALYSIS, ALGORITHMS, OPTIMIZATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE