Accession Number : AD0603015

Title :   CONTROL OF CO-OPERATIVE SYSTEMS: THE RENDEZVOUS PROBLEM,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : GIESEKING,Darrell L.

Report Date : JUL 1964

Pagination or Media Count : 56

Abstract : A study of optimal rendezvous strategies for cooperative controlled systems is presented. By rendezvous, it is meant that the systems approach each other in such a way that the system's velocities and accelerations are the same when the positions become the same. A solution to the single-input problem, using the calculus of variations, is given when the performance index is the integrated-squareerror plus weighted control. A solution to the multi-input problem, using Pontryagin's Maximum Principle, is given for the same performance index. The performance index is rewritten in terms of the stacked state vectors. The rendezvous conditions are adjoined as constraints to the performance index using Lagrange multipliers. Due to the complexity of the problem, the control law will be open loop, in general.

Descriptors :   (*RENDEZVOUS GUIDANCE, CONTROL SYSTEMS), RENDEZVOUS SPACECRAFT, RENDEZVOUS TRAJECTORIES, GUIDANCE, OPTIMIZATION, LINEAR SYSTEMS, PARTIAL DIFFERENTIAL EQUATIONS, CALCULUS OF VARIATIONS, NUMERICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE