On optimal spacecraft damping

  • M. V. Levskii
Control Systems of Moving Objects


The problem of spacecraft damping (damping of initial angular velocity to zero) for a minimal time is studied. Two variants of formulation of the optimization problem are considered; these variants differ in the form of constraints on the control torque. Analytical solution to the formulated problem is obtained in the closed form and numerical expressions for synthesis of optimal angular velocity control program are given. Similar problem of time-optimal angular acceleration of the spacecraft to the given value is also solved. Procedure for determination of the control torque at the initial time instant for the problem of acceleration of the spacecraft to the required angular velocity is presented. Numerical example of solution of the problems of buildup and damping of spacecraft rotation velocity for a minimal time is given.


Torque Angular Momentum Angular Velocity Optimal Control Problem System Science International 
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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  • M. V. Levskii
    • 1
  1. 1.Scientific Research Institute of Space SystemsKhrunichev State Research and Production CenterYubileinyi, Moscow obl.Russia

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