Control of the motion of a triaxial ellipsoid in a fluid using rotors

被引：10

作者：

Borisov, A. V. ^{[1
,2
]}

Vetchanin, E. V. ^{[2
,3
]}

Kilin, A. A. ^{[2
,4
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi, Moscow Oblast, Russia

[2] Udmurt State Univ, Izhevsk, Russia

[3] Kalashnikov Udmurt State Tech Univ, Izhevsk, Russia

[4] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg, Russia

来源：

MATHEMATICAL NOTES | 2017年 / 102卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

ideal fluid; motion of a rigid body; Kirchhoff equations; control by rotors; gate; INTERNAL ROTORS; IDEAL FLUID; BODY; MASS;

D O I：

10.1134/S0001434617090176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The motion of a body shaped as a triaxial ellipsoid and controlled by the rotation of three internal rotors is studied. It is proved that the motion is controllable with the exception of a few particular cases. Partial solutions whose combinations enable an unbounded motion in any arbitrary direction are constructed.

引用

页码：455 / 464

页数：10

共 18 条

[1]

[Anonymous], 2005, DYNAMICS RIGID BODY

[2] Optimal Kinematic Control of an Autonomous Underwater Vehicle [J].

Biggs, James ;

Holderbaum, William .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) :1623-1626

[3] How to control the Chaplygin ball using rotors. II [J].

Borisov, Alexey V. ;

Kilin, Alexander A. ;

Mamaev, Ivan S. .

REGULAR & CHAOTIC DYNAMICS, 2013, 18 (1-2) :144-158

[4] How to control Chaplygin's sphere using rotors [J].

Borisov, Alexey V. ;

Kilin, Alexander A. ;

Mamaev, Ivan S. .

REGULAR & CHAOTIC DYNAMICS, 2012, 17 (3-4) :258-272

[5] Equilibria, stability and Hamiltonian Hopf bifurcation of a gyrostat in an incompressible ideal fluid [J].

Guirao, Juan L. G. ;

Vera, Juan A. .

PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (19) :1648-1654

[6] Dynamics of the Kirchhoff equations I: Coincident centers of gravity and buoyancy [J].

Holmes, P ;

Jenkins, J ;

Leonard, NE .

PHYSICA D-NONLINEAR PHENOMENA, 1998, 118 (3-4) :311-342

[7] Comments on the paper by A. V. Borisov, A. A. Kilin, I. S. Mamaev "How to control the Chaplygin ball using rotors. II" [J].

Ivanova, Tatiana B. ;

Pivovarova, Elena N. .

REGULAR & CHAOTIC DYNAMICS, 2014, 19 (01) :140-143

[8]

Kilin Alexander A., 2015, Russian Journal of Nonlinear Dynamics, V11, P633

[9]

Kirchhoff G., 1877, Vorlesungen uber mathematische Physik. Mechanik, V2te

[10] The motion of a variable body in an ideal fluid [J].

Kozlov, VV ;

Ramodanov, SM .

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2001, 65 (04) :579-587

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