摘要:
Issues as'loeiated with dynamieal modelling and control of a spaceeraft-mounted rohotie manipulator capturing it spinning satellite are investigated in this research. The formulation of UH' post-eaptur.:! dynamical equations of the system was carried out by writ. lIlg the indlvH! ual Lagrange's equation for the mother spacecraft, the t, wo-link robotic fIl(Ulipulator, and the eaptured payload. These equations were then assemhled to oht, lin the cow>lrain('d dynamical equations of the system as a whole. This mcthod, IlOw('ver, illtroduces the non-working constraint forces and moments which suhstantially comp! icate the dynamical analysis and therefore have to be elim- inated. A! love! techll ique that involves the use of the natural orthogonal complement of the vclority-constraillf. matrix was used in order to obtain a set of unconstrained in- depcndent. ( ' q u a t. i o n ~. A computer code was written using FORTRAN and the IMSL sllhroutine DIVPAG was uscd to integrate the equations of motion. The pitch angle of tht' Illother spacecraft, t. he joint angles of the manipulator, and their rates just after capture wel't> calcu\ated hy solving the inverse kinematics prob\em and using impact dynamics principles. Thcse were then used as initial conditions for the post- capture dYllamics. A dynamical simulation of the system for the uncontrolled case was carricd out to study the cffecl of the disturbance, resulting from the capture of tlw satellite, on tilt' spaC<'craftjmanipulator system. In light of the results correspond- ing to t. JH' IlllcontlOlled s y ~ t e J l l, a control algorithm, whose objective is to produce a St't of ft'('dbMk-lillt'arized, homogeneous, and uncoupled equations, was designed and implt'Il\t'nt, ed. The effe, t of structural flexibility in the robot links on the response of the system was also investigated for both the uncontrolled and controlled cases.