Optimization and Systems Theory Seminar
Department of Mathematics, KTH

Ilya Ioslovich
Faculty of Agricultural Engineering,
Haifa 32000,
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.

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