Skip to main content
Log in

Modeling Control of Rigid Body Rotation

  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Kinematic and dynamic equations of motion are derived without relying on physical considerations. Formulas are obtained for the controls (moments of forces) that ensure the desired law of rotation of a rigid body. The control algorithms are tested by simulation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. A. Aizerman, Classical Mechanics [in Russian], Nauka, Moscow (1980

    Google Scholar 

  2. V. F. Zhuravlev, Fundamentals of Theoretical Mechanics [in Russian], Fizmatlit, Moscow (2001).

    Google Scholar 

  3. A. P. Markeev, Theoretical Mechanics [in Russian], CheRo, Moscow (1999).

    Google Scholar 

  4. A. V. Borisov and I. S. Mamaev, Rigid Body Dynamics [in Russian], Scientific-Research Center “Regular and Chaotic Dynamics”, Izhevsk (2001).

    Google Scholar 

  5. V. N. Branets and I. P. Shmyglevskii, Quaternions in Rigid Body Orientation Problems [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  6. P. D. Krut’ko, Inverse Problems in Controlled System Dynamics: Nonlinear Models [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  7. A. P. Krishchenko and A.V. Kavinov, “Stabilization of affine systems,” Diff. Uravn., 36, No. 11, 1–6 (2000).

    MathSciNet  Google Scholar 

  8. O. V. Ermoshina and A. P. Krishchenko, “Design of programmed spacecraft-orientation controls by the method of inverse problems in dynamics,” Izv. RAN, Teoriya i Systemy Upravleniya, No. 2, 155–162 (2000).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Nelineinaya Dinamika i Upravlenie, No. 7, pp. 335–348, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kanatnikov, A.N. Modeling Control of Rigid Body Rotation. Comput Math Model 24, 404–417 (2013). https://doi.org/10.1007/s10598-013-9186-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10598-013-9186-x

Keywords

Navigation