 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 53, Issue 5 / 2018 | Next article >> |
| V.Ph. Zhuravlev, "On the Stability of Control of an Inertial Pendulum-Type System," Mech. Solids. 53 (5), 489-491 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
5 |
Pages |
489-491 |
| DOI |
10.3103/S0025654418080022 |
| Title |
On the Stability of Control of an Inertial Pendulum-Type System |
| Author(s) |
V.Ph. Zhuravlev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, zhurav@ipmnet.ru) |
| Abstract |
To obtain information about the inertial trihedron on board a moving object, it suffices to observe the trajectory of a three-dimensional isotropic oscillator with the center of suspension on this object. In the most general case, the trajectory of such an oscillator is an ellipse that does not have an angular velocity relative to the inertial space.
In this paper, we construct an oscillator control stabilizing an elliptical trajectory with a nonzero quadrature and prove the stability of this control. |
| Keywords |
isotropic oscillator, trajectory stability, navigation system |
| References |
| 1. | V.Ph. Zhuravlev,
"On the Solution of Equations of the Linear Oscillator with Respect to the Matrix of the Inertial Trihedron,"
Dokl. RAN
404 (4), 491-495 (2005)
[Dokl. Phys. (Engl.Transl.) 50 (10), 519-523 (2005)]. |
| 2. | V.Ph. Zhuravlev,
"A Strapdown Inertial System of Minimum Dimension (A 3D Oscillator as a Complete Inertial Sensor),"
Izv. Akad. Nauk. Mekh. Tverd. Tela No. 5, 5-10 (2005)
[Mech. Sol. (Engl.Transl.) 40 (5), 1-5 (2005)]. |
| 3. | V.Ph. Zhuravlev,
"Van-der-Paul Spatial Oscillator. Technical Applications,"
in Fundamental and Applied Problems of Mechanics. Abstracts of International Scientific Conference FAPM-2017
(MGTU im. Baumana, Moscow, 2017), p.11 [in Russian]. |
| 4. | V.Ph. Zhuravlev,
" Van der Pol's Controlled 2D Oscillator,"
Rus. J. Nonlin. Dyn.
12 (2), 211-222 (2016). |
| 5. | A.Yu. Ishlinsky,
Orientation, Gyros and Inertial Navigation
(Nauka, Moscow, 1976) [in Russian]. |
| 6. | Gorenshteyn I.A. Shulman I.A.
Inertial Navigation Systems
(Mashinostroenie, Moscow, 1970) [in Russian]. |
| 7. | D.M. Klimov,
Inertial Navigation at Sea
(Nauka, Moscow, 1976) [in Russian]. |
| 8. | E.J. Loper and D.D. Lynch,
"The HRG: A New Low-Nose Inertial Rotation Sensor,"
in Proc. 16 Jt. Services Data Exchange For Inertial Systems. 16-18 Nov.
(Los Angeles, 1982), pp. 432-433. |
| 9. | V.Ph. Zhuravlev and D.M. Klimov,
Wave-Based Solid-State Gyroscope
(Nauka, Moscow, 1985) [in Russian]. |
| 10. | V.Ph. Zhuravlev and D.D. Lynch,
"Electric Model of a Wave-Based Solid-State Gyroscope,"
Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 12-15 (1995). |
| 11. | V.Ph. Zhuravlev,
"Theoretical Foundations of the Wave-Based Solid-State Gyroscope (WSG),"
Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 6-19 (1995). |
| 12. | V.Ph. Zhuravlev and D.M. Klimov,
Applied Methods of the Theory of Oscillations
(Nauka, Moscow, 1988) [in Russian]. |
| 13. | D.M. Klimov, V.Ph. Zhuravlev, and Yu.K. Zbanov,
Quartz Hemispherical Resonator (Wave-Based Solid-State Gyroscope)
("Kim L.A.," Moscow, 2017) [in Russian]. |
|
| Received |
01 June 2018 |
| Link to Fulltext |
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