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Optimal control of a rotational motion of a gyrostat on circular orbit

โœ Scribed by Awad El-Gohary

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
438 KB
Volume
27
Category
Article
ISSN
0093-6413

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โœฆ Synopsis

A control scheme is proposed to guarantee an optimal stabilization of a given rotational motion of a symmetric gyrostat on circular orbit. The gyrostat controlled by the control action generated by rotating internal rotors. In such study the asymptotic stability of this motion is proved using Baxbachen and Krasovskii theorem's and the optimal control law is deduced from the conditions that ensure the optimal asymptotic stability of the desired motion, As a particulax case, the equilibrium position of the gyrostat, which occurs when the principal axes of inertia coincide with the orbital axes, is proved to be asymptotically stable. The present method is shown to more general than previous ones.

๐Ÿ“œ SIMILAR VOLUMES

The orbital motion of a tetrahedral gyro
The orbital motion of a tetrahedral gyrostat
โœ A.A. Burov; A.D. Guerman; R.S. Sulikashvili ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 423 KB

The orbital motion of a gyrostat whose mass distribution admits of the symmetry group of a regular tetrahedron is examined. The equations of motion and their first integrals are presented. The order of the equations of motion is reduced using a Routh-Lyapunov approach. The reduced potential and the