
Accession Number : AD0746692
Title : Comparison of Several Gradient Algorithms for Optimal Control Problems,
Corporate Author : RICE UNIV HOUSTON TEX AEROASTRONAUTICS GROUP
Personal Author(s) : Miele,A. ; Tietze,J. L. ; Levy,A. V.
Report Date : 07 AUG 1972
Pagination or Media Count : 40
Abstract : The paper considers the problem of minimizing a functional I which depends on the state x(t), the control u(t), and the parameter Pi. Here, I is a scalar, x an nvector, u an mvector, and Pi a pvector. At the initial point, the state is prescribed. At the final point, the state and the parameter are required to satisfy q scalar relations. Along the interval of integration, the state, the control and the parameter are required to satisfy n scaler differential equations. Four variations of the sequential gradientrestoration algorithm and the combined gradientrestoration algorithm are considered, and their relative efficieny (in terms of number of iterations for convergence) is evaluated. (Author)
Descriptors : (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), OPTIMIZATION, ALGORITHMS, DIFFERENTIAL EQUATIONS, ITERATIONS, CONVERGENCE
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE