
Accession Number : AD0691033
Title : ON A NEW COMPUTING TECHNIQUE IN OPTIMAL CONTROL AND ITS APPLICATION TO MINIMAL TIME FLIGHT PROFILE OPTIMIZATION,
Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF ENGINEERING
Personal Author(s) : Balakrishnan,A. V.
Report Date : OCT 1968
Pagination or Media Count : 28
Abstract : In this paper we present the first results in applying a new computing technique for optimal control problems to a minimal time flight trajectory optimization problem. We also indicate how the technique may be extended to the isoperimetric problem of Lagrange with equality constraints. In particular, the method yields a constructive way of obtaining the Lagrange multipliers whose existence alone is usually proved. We actually obtain an approximate maximum principle in which the optimal solution is shown to exist for example for bounded controls and with the usual growth restriction on the dynamics. In this way we obtain (and motivate) the approximate Hamiltonian and the integral form of the maximum principle which yields the familiar maximum principle in the limit. The computing method is applied to a 'timeoptimal' problem with nonlinear state and control dynamics. (Author)
Descriptors : (*CONTROL SYSTEMS, NUMERICAL ANALYSIS), (*ASCENT TRAJECTORIES, OPTIMIZATION), TIME, APPROXIMATION(MATHEMATICS), SYMPOSIA
Subject Categories : Numerical Mathematics
Spacecraft Trajectories and Reentry
Distribution Statement : APPROVED FOR PUBLIC RELEASE