Optimization and Systems Theory Seminar
Thursday, December 11, 1997, 15.00-16.00, Room 3721, Lindstedtsvägen 25


Dr. Ilya Ioslovich
Faculty of Agricultural Engineering
Technion
Haifa 32000
Israel
E-mail: agrilya@tx.technion.ac.il

Optimal control of rigid body reorientation: closed form solution and synthesis

We consider a problem of fuel - optimal control by means of reactive engines for a special class of the attitude maneuvers. The steady rotation of a rigid body (spacecraft) is changing in the inertial frame with unconstrained time and the state constraint imposed on the module of angular velocity. This constraint means that the artificial gravity continue to exist during the time of maneuvering. In the connected frame of the rotating body only small disturbances are applied and the rotation remained steady. The problem is solved by using the sufficient Bellman - Krotov conditions and the closed form solution as well as Bellman - Krotov functions are found. These functions have different form for the different state domains that also are determined.
Calendar of seminars
Last update: December 2, 1997 by Anders Forsgren, andersf@math.kth.se.