 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 47, Issue 4 / 2012 | Next article >> |
| V.I. Matyukhin, "Multimode Laws of Control of Rigid Body Motions," Mech. Solids. 47 (4), 390-399 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
4 |
Pages |
390-399 |
| DOI |
10.3103/S0025654412040048 |
| Title |
Multimode Laws of Control of Rigid Body Motions |
| Author(s) |
V.I. Matyukhin (Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya 65, V-342, GSP-7, Moscow, 117997 Russia, matyuhin@ipu.rssi.ru, v.matyuhin@mail.ru) |
| Abstract |
The problem of control of motion of a rigid body (aircraft, satellite, or landing module) is studied. A multimode control law that can stabilize not only one prescribed motion of the body but any motion in a sufficiently broad class is constructed. The problem is solved in nonlinear setting under indeterminacy conditions on the basis of Lyapunov functions. The control law is constructed in the class of bounded discontinuous laws, special zero-overshoot response modes are constructed, and the specific character of mechanical systems is used. |
| Keywords |
rigid body, control, stability, Lyapunov function, multimode control law |
| References |
| 1. | E. S. Pyatnitskii,
"The Decomposition Principle in the Control of Mechanical Systems,"
Dokl. Akad. Nauk SSSR
300 (2), 771-775 (1988)
[Sov. Phys. Dokl. (Engl. Transl.)
33, 345-349 (1988)]. |
| 2. | G. S. Byushgens, M. G. Goman, G. I. Zaiganov, et al.,
Method of Lyapunov Functions in Problems of Control Synthesis for Aircraft Spatial Motion,
Preprint No. 4
(IPU AN SSSR, Moscow, 1992)
[in Russian]. |
| 3. | G. S. Byushgens, M. G. Goman, V. I. Matyukhin, and E. S. Pyatnitskii,
"Stabilizability and Universal Control Laws for the Motion of a Solid
Body with Allowance for Aerodynamic Actions,"
Dokl. Ross. Akad. Nauk
342 (1), 49-52 (1995)
[Dokl. Phys. (Engl. Transl.)
40 (5), 247-250 (1995)]. |
| 4. | M. G. Goman, V. I. Matyukhin, and E. S. Pyatnitskii,
"Control over Orientation of a Solid Body Moving in an Aerodynamical Medium,"
Dokl. Ross. Akad. Nauk
353 (6), 751-755 (1997)
[Dokl. Phys. (Engl. Transl.)
42 (4), 223-227 (1997)]. |
| 5. | G. S. Byushgens and R. V. Studnev,
Aircraft Aerodynamics. Dynamics of Longitudinal and Lateral Motion
(Mashinostroenie, Moscow, 1979)
[in Russian]. |
| 6. | G. S. Byushgens and R. V. Studnev,
Aircraft Dynamics. Spatial Motion
(Mashinostroenie, Moscow, 1983)
[in Russian]. |
| 7. | V. M. Matrosov, L. Yu. Antokolskii, and S. N. Vasiliev,
Comparison Methods in Mathematical Theory of Systems
(Nauka, Novosibirsk, 1980)
[in Russian]. |
| 8. | N. N. Krasovskii,
Several Problems of the Theory of Stability of Motion
(Fizmatgiz, Moscow, 1959)
[in Russian]. |
| 9. | M. A. Aizerman and E. S. Pyatnitskii,
"Foundation of a Theory of Discontinuous Systems. Pts. 1 and 2,"
Avtomat. Telemekh.,
No. 7, 33-47;
No. 8, 39-61 (1974)
[Automat. Remote Control (Engl. Transl.)
35 (7), 1066-1079 (1974);
35 (8), 1242-1262 (1974)]. |
| 10. | V. I. Utkin,
Sliding Modes in Optimization and Control
(Nauka, Moscow, 1981)
[in Russian]. |
| 11. | A. F. Filippov,
Differential Equations with Discontinuous Right-Hand Side
(Nauka, Moscow, 1985)
[in Russian]. |
| 12. | V. I. Matyukhin,
"Stabilization of Motions of the Descent Vehicle in the Upper Atmosphere,"
Avtomat. Telemekh.,
No. 4, 70-83 (2003)
[Automat. Remote Control (Engl. Transl.)
64 (4), 576-588 (2003)]. |
| 13. | V. I. Matyukhin,
"Solid Body Stabilization in Aerodynamic Medium with Regard for Delay,"
Avtomat. Telemekh.,
No. 10, 93-107 (2005)
[Automat. Remote Control (Engl. Transl.)
66 (10), 1614-1627 (2005)]. |
| 14. | V. I. Matyukhin,
Control of Mechanical Systems
(Fizmatlit, Moscow, 2009)
[in Russian]. |
|
| Received |
26 April 2010 |
| Link to Fulltext |
|
| << Previous article | Volume 47, Issue 4 / 2012 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English