 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| Yu. N. Chelnokov, "Construction of attitude control laws for a rigid body using quaternions and standard forms of equations governing transient processes. Part 2," Mech. Solids. 37 (2), 1-12 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
2 |
Pages |
1-12 |
| Title |
Construction of attitude control laws for a rigid body using quaternions and standard forms of equations governing transient processes. Part 2 |
| Author(s) |
Yu. N. Chelnokov (Saratov) |
| Abstract |
Standard differential equations governing the desired dynamics
of controlled attitude motion of a rigid body are considered.
Three groups of control laws are synthesized using quaternion
and vector kinematic parameters of rotational motion.
The construction of the nominal angular motion and the nominal
control, as well as the determination of feedback gains
(scalar, matrix, and quaternion) providing the desired
qualitative and quantitative characteristics of the transients,
are discussed. A number of control algorithms are proposed. |
| References |
| 1. | Yu. N. Chelnokov, "Construction of attitude control laws for
a rigid body using quaternions and standard forms of
equations governing transient processes. Part 1,"
Izv. AN. MTT [Mechanics of solids], No. 1, pp. 2-17, 2002. |
| 2. | R. Bellman, Introduction to Matrix Theory [Russian translation],
Nauka, Moscow, 1976. |
| 3. | P. K. Plotnikov and Yu. N. Chelnokov,
"Application of quaternion matrices in the theory of rigid body finite
rotations," in Collected Scientific and Methodological Papers on
Theoretical Mechanics [in Russian], No. 11, pp. 122-129, Vysshaya Shkola,
Moscow, 1981. |
| 4. | Yu. N. Chelnokov, "Quaternion synthesis of a nonlinear
attitude control of a moving object,"
Izv. AN. Teoriya i Sistemy Upravleniya, No. 2, pp. 145-150, 1995. |
| 5. | Yu. N. Chelnokov, "Quaternions and dynamics of controlled
motion of a rigid body,"
Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 13-23, 1996. |
| 6. | Yu. N. Chelnokov, "Quaternion solution of kinematic problems
of attitude control of a rigid body: Equations for errors;
correction (stabilization) laws and algorithms,"
Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 3-12, 1994. |
| 7. | Yu. N. Chelnokov, "Attitude control of a spacecraft
utilizing quaternions,"
Kosmicheskie Issledovaniya [Cosmic Research], Vol. 32 No. 3, pp. 21-32,
1994. |
| 8. | P. K. Plotnikov, A. N. Sergeev, and Yu. N. Chelnokov, "Kinematic
problem of attitude control of a rigid body," Izv. AN SSSR. MTT
[Mechanics of Solids], No. 5, pp. 9-18, 1991. |
| 9. | V. N. Branets and I. P. Shmyglevskii, Application of Quaternions
in Attitude Control of a Rigid Body [in Russian], Nauka, Moscow, 1973. |
| 10. | Yu. N. Chelnokov, "Quaternion solution of kinematic problems
of attitude control of a rigid body: Equations of motion, problem formulation,
nominal motion, and control,"
Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 7-14, 1993. |
|
| Received |
08 December 1999 |
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