On the orientation of a gyrostat using internal rotors

International Journal of Mechanical Sciences

Volumn 43, Issue 1, 2001, Pages 225-235

  El Gohary, Awad ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; NONLINEAR CONTROL SYSTEMS; POSITION CONTROL; SERVOMOTORS; SYSTEM STABILITY;

EXPONENTIAL STABILITY; GYROSTATS;

GYRATORS;

EID: 0035216322     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(99)00112-5     Document Type: Article

References (27)

1. Wittenburg J. Dynamics of systems of rigid bodies. Hannover Technical University Stuttgart: B.G. Teubner, 1977.
2. Kachurina NM, Krementulo V. Stabilization of rotational motion of a rigid body using movable masses. Izvestiya Akademii Nauk. SSSR MMT 1981;(3):96-101.
3. Lebedev DB. Control of the motion of a rigid body rotating about its center mass. Journal of Applied Mathematics and Mechanics 1990;54(1):13-8.
4. Rumianstev VV. On the stability of motion of gyrostat. Journal of Applied Mathematics and Mechanics 1961;25(1).
5. Anchev A. On the stability of the permanent rotations of a heavy gyrostat. Journal of Applied Mathematics and Mechanics 1962;26(1):22-8.
6. Azezov G, El-Gohary A. Stabilization of relative equilibrium position of Satellite-Gyrostat. Tashkent, Journal of Problems of Mechanics 1993;(3):3-5.
7. Azezov G, El-Gohary A. About methods of investigation of the systems with servo-constraints. Scientific Conference Thesis Lecture, Part 2 Mathematics Section, Moscow, 1994. p. 61.
8. Beghin H. Étude Thétorique des Comps Gyrostatiques Anchutz et sperry Paris imprimerie Nationle, 1921.
9. Vorotninkov VI. The control of the angular motion of a rigid body with interference a game-theoretic approach. Journal of Applied Mathematics and Mechanics 1994;58(3):457-76.
10. El-Gohary A. On the control of the programmed motion of a rigid body containing moving masses. International Journal of Non-Linear Mechanics 2000;35(1):27-35.
11. El-Gohary A. On the stability of relative programmed motion of satellite-gyrostat. Mechanics Research Communications 1998;25(4):371-9.
12. Zaremba AT. Stabilization of the programmed motions of a rigid body with uncertainty in the parameters of the equations of dynamics. Journal of Applied Mathematics and Mechanics 1997;61(1):33-9.
13. Pisacne VL. Three-axis stabilization of a dumbbell satellite by small constant speed rotors. Apl. Report TG-855, Applied Physics Laboratory, Johns Hopkins University, 1966.
14. Vorotinikov V. About the control of the angular motion of a rigid body. Izvestiya Akademii Nauk SSSR, MTT 1986;(6):38-43.
15. Sanchez de alvarez G Stabilization of rigid body dynamics by internal and external torques. International Federation of Automatic Control 1992;4:745-55.
16. Mortensen RE. On system for control automatic control of the rotation of a rigid body. Electronics Research Laboratory, University of California, Report, 63-23, 1963.
17. Litvin-Sedoy MZ. Control of angular motion of a body by means of rotors. AIAA Journal 1963;1(1):275-7.
18. El-Gohary A, Hassan Z. On Exponential Stability of a permanent rotational motion of a gyrostat. Mechanics Research Communications 1999;26(4):479-88.
19. El-Gohary A. Optimal stabilization of the rotational of a rigid body with the help of rotors. International Journal of Non-Linear Mechanics 2000;35(3):393-403.
20. El-Gohary A. The optimal control of an angular motion of a gyrostat containing fluid. International Journal of Non-Linear Mechanics 2000; to appear.
21. Martin A. Attitude stability of satellites subjected to gravity gradient and aerodynamic torques. AIAA Journal 1980;8(10):1780-5.
22. Longman RW. Stability analysis of all possible equilibria for gyrostat satellites under gravitational torques. AIAA Journal 1972;10(6):800-6.
23. Rumianstev V. About controlling orientations and their stabilization for satellite with rotors. Vestnik M. G. univ. Mech. 1970;(2):83-96.
24. Morin P, Samson C. Time-varying exponential stabilization of a rigid spacecraft with two control torques. IEEE Transactions on Automatic Control 1997;42(4):528-34.
25. Leed C. Stability of six degree of freedom dynamics with magnus effect. Journal of Franklin Institute 1980;309(2).
26. Agafonov SA, Alekseyev KB, Nikolayev NV. Stability of the control of a plane turn of a spacecraft. Journal of Applied Mathematics and Mechanics 1991;55(1):136-8.
27. Apeehtin NG. On the stabilization of permanent rotation of a rigid body. Journal of Applied Mathematics and Mechanics 1981;45(3):521-4.