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Optimal stabilization of an equilibrium position of a rigid body using rotors system with friction forces

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  • El-Gohary, Awad

Abstract

The optimal stabilization of one class of equilibrium positions of a rigid body using rotors system with internal friction is studied. The performance index is an integral form of a quadratic function in the state and control variables. Both of the angular velocity and orientation variables are regulated. The optimal driving control moments which stabilize this position are obtained using the conditions of ensuring the optimal asymptotic stability of this position as non-linear functions of phase coordinates of the body. Some known results on the optimal control of equilibrium positions of a rigid body are improved and new results are obtained. Numerical simulation is presented.

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  • 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.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:5:p:1585-1597
    DOI: 10.1016/j.chaos.2004.06.070
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    Cited by:

    1. El-Gohary, Awad, 2005. "Optimal control of rigid body motion with the help of rotors using stereographic coordinates," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1229-1244.
    2. 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.
    3. Iñarrea, Manuel, 2009. "Chaos and its control in the pitch motion of an asymmetric magnetic spacecraft in polar elliptic orbit," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1637-1652.

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