## Optimization and Systems Theory Seminar

Department of Mathematics, KTH

### Ilya Ioslovich

Faculty of Agricultural Engineering,

Technion,

Haifa 32000,

Israel

E-mail:
agrilya@tx.technion.ac.il

###
Optimal control of the axial symmetric rigid body, rotating around its
center of mass: Sufficient conditions and method of passive integrals

The optimal control problem of maneuvering a rigid body, rotating
around its center of masses, is solved for arbitrary maneuvers in the
connected frame of the angular velocity vectors. The initial and end
points of the maneuver are arbitrary and the time of maneuver is free.
The problem is important for the space vehicle control. The solution
is obtained in closed form in terms of sliding mode. The method of
passive integrals will be described together with Krotov-Bellman
sufficient conditions.

Calendar of Seminars

*Last update: October 17, 1996 by Anders Forsgren,
andersf@math.kth.se.
*