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On the Stability of Control of an Inertial Pendulum-Type System

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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.

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References

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Acknowledgments

The study was financially supported by the Russian Science Foundation (Project No. 14-49-01633).

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526, Russia

    V. Ph. Zhuravlev

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  1. V. Ph. Zhuravlev
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Correspondence to V. Ph. Zhuravlev.

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Original Russian Text © V.Ph. Zhuravlev, 2018, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 5, pp. 15–18.

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Zhuravlev, V.P. On the Stability of Control of an Inertial Pendulum-Type System. Mech. Solids 53, 489–491 (2018). https://doi.org/10.3103/S0025654418080022

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