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Optimal control of a programmed motion of a rigid spacecraft using redundant kinematics parameterizations

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  • El-Gohary, Awad

Abstract

This paper considers the problem of optimal controlling of a programmed motion of a rigid spacecraft. Given a cost of the spacecraft as a quadratic function of state and control variables we seek for optimal control laws as functions of the state variables and the angle of programmed rotation that minimize this cost and asymptotically stabilize the required programmed motion. The stabilizing properties of the proposed controllers are proved using the optimal Liapunov techniques. Numerical simulation study is presented.

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  • El-Gohary, Awad, 2005. "Optimal control of a programmed motion of a rigid spacecraft using redundant kinematics parameterizations," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1053-1063.
  • Handle: RePEc:eee:chsofr:v:26:y:2005:i:4:p:1053-1063
    DOI: 10.1016/j.chaos.2005.02.036
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    1. El-Gohary, Awad, 2005. "Optimal stabilization of an equilibrium position of a rigid body using rotors system with friction forces," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1585-1597.
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