 | | 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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| V. Ph. Zhuravlev, "A generalized Foucault pendulum controlled with respect to the precession angle," Mech. Solids. 37 (5), 1-4 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
5 |
Pages |
1-4 |
| Title |
A generalized Foucault pendulum controlled with respect to the precession angle |
| Author(s) |
V. Ph. Zhuravlev (Moscow) |
| Abstract |
The controlled Foucault pendulum [1] free with respect
to the precession angle is a gyro integrator.
This means that it can be used as a sensor of the integral
of the projection of the angular velocity onto the sensitive axis.
Three such integrals of three respective projections of the angular
velocity onto three mutually orthogonal axes are
quasi-coordinates that cannot be utilized straightforwardly
for determining the angular position of an object. To that end,
in practice, one usually confines oneself to small increments
of the quasi-coordinates which are then utilized in Poisson's
equations.
Certain advantages can be provided by a scheme in which the
precession angle is constrained to be kept in a small neighborhood
of a fixed value, while the information about the angular
velocity is obtained by observing the control signal.
Such a gyro becomes an angular velocity sensor. When operating
in such a mode, this device preserves all familiar advantages of a gyro
integrator but is free from some of its disadvantages, such as,
for example, a dependence of errors on the precession error.
A number of problems arise as regards the formation of algorithms
for the control of the precession angle, stability analysis of the
closed-loop system, and control performance. These problems are considered
in the present paper. |
| References |
| 1. | V. Ph. Zhuravlev, "A controlled Foucault pendulum
as a model of a class of free gyros," Izv. AN. MTT
[Mechanics of Solids], No. 6, 1997, pp. 27-36. |
| 2. | J. S. Burdess and T. Wren, "The theory of a piezoelectric
disc gyroscope," IEEE Trans. Aerospace and Electronic Systems,
Vol. AES-22, No. 4, pp. 410-418, 1986. |
|
| Received |
13 February 2001 |
| << Previous article | Volume 37, Issue 5 / 2002 | Next article >> |
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