Stability analysis of steady motions of a spherical robot of combined type
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 4, pp. 611-623.

Voir la notice de l'article provenant de la source Math-Net.Ru

The dynamics of a spherical robot of combined type consisting of a spherical shell and a pendulum attached at the center of the shell is considered. At the end of the pendulum a rotor is installed. For this system we carry out a stability analysis for a partial solution which in absolute space corresponds to motion along a circle with constant velocity. Regions of stability of a partial solution are found depending on the orientation of the spherical robot during the motion, its velocity and the radius of the circle traced out by the point of contact.
Keywords: spherical robot, nonholonomic constraint, stability.
Mots-clés : partial solution
@article{ND_2017_13_4_a12,
     author = {E. N. Pivovarova},
     title = {Stability analysis of steady motions of a spherical robot of combined type},
     journal = {Russian journal of nonlinear dynamics},
     pages = {611--623},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2017_13_4_a12/}
}
TY  - JOUR
AU  - E. N. Pivovarova
TI  - Stability analysis of steady motions of a spherical robot of combined type
JO  - Russian journal of nonlinear dynamics
PY  - 2017
SP  - 611
EP  - 623
VL  - 13
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2017_13_4_a12/
LA  - ru
ID  - ND_2017_13_4_a12
ER  - 
%0 Journal Article
%A E. N. Pivovarova
%T Stability analysis of steady motions of a spherical robot of combined type
%J Russian journal of nonlinear dynamics
%D 2017
%P 611-623
%V 13
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2017_13_4_a12/
%G ru
%F ND_2017_13_4_a12
E. N. Pivovarova. Stability analysis of steady motions of a spherical robot of combined type. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 4, pp. 611-623. http://geodesic.mathdoc.fr/item/ND_2017_13_4_a12/

[1] Balandin D. V., Komarov M. A., Osipov G. V., “A motion control for a spherical robot with pendulum drive”, J. Comput. Syst. Sci. Int., 52:4 (2013), 650–663 | DOI | DOI

[2] Bloch A. M., Krishnaprasad P. S., Marsden J. E., Sánchez de Alvarez G., “Stabilization of rigid body dynamics by internal and external torques”, Automatica, 28:4 (1992), 745–756 | DOI

[3] Bloch A. M., Reyhanoglu M., McClamroch N. H., “Control and stabilization of nonholonomic dynamic systems”, IEEE Trans. Automat. Control, 37:11 (1992), 1746–1757 | DOI

[4] Borisov A. V., Kilin A. A., Mamaev I. S., “How to control Chaplygin's sphere using rotors”, Regul. Chaotic Dyn., 17:3–4 (2012), 258–272 | DOI

[5] Gajbhiye S., Banavar R. N., “Geometric tracking control for a nonholonomic system: A spherical robot”, IFAC-PapersOnLine, 49:18 (2016), 820–825 | DOI

[6] Halme A., Schonberg T., Wang Y., “Motion control of a spherical mobile robot”, Proc. of the 4th Internat. Workshop on Advanced Motion Control (AMC'96, Mie, Japan), v. 1, 259–264

[7] Hogan F. R., Forbes J. R., Barfoot T. D., “Rolling stability of a power-generating tumbleweed rover”, J. Spacecraft Rockets, 51:6 (2014), 1895–1906 | DOI

[8] Ivanova T. B., Kilin A. A., Pivovarova E. N., “Controlled motion of a spherical robot with feedback: 1”, J. Dyn. Control Syst., 2017, 14 pp.

[9] Ivanova T. B., Kilin A. A., Pivovarova E. N., “Controlled motion of a spherical robot with feedback: 2”, J. Dyn. Control Syst., 2017

[10] Ivanova T. B., Pivovarova E. N., “Dynamics and control of a spherical robot with an axisymmetric pendulum actuator”, Nelin. Dinam., 9:3 (2013), 507–520 (Russian)

[11] Karavaev Yu. L., Kilin A. A., “The dynamics and control of a spherical robot with an internal omniwheel platform”, Regul. Chaotic Dyn., 20:2 (2015), 134–-152 | DOI

[12] Kayacan E., Bayraktaroglu Z., Saeys W., “Modeling and control of a spherical rolling robot: A decoupled dynamics approach”, Robotica, 30:4 (2012), 671–680 | DOI

[13] Kilin A. A., Karavaev Yu. L., “Experimental research of dynamic of spherical robot of combined type”, Nelin. Dinam., 11:4 (2015), 721–734 (Russian)

[14] Kilin A. A., Pivovarova E. N., Ivanova T. B., “Spherical robot of combined type: Dynamics and control”, Regul. Chaotic Dyn., 20:6 (2015), 716–728 | DOI

[15] Madhushani T. W. U., Maithripala D. H. S., Wijayakulasooriya J. V., Berg J. M., “Semi-globally exponential trajectory tracking for a class of spherical robots”, Automatica J. IFAC, 85 (2017), 327–338 | DOI

[16] Yu T., Sun H., Jia Q., Zhang Y., Zhao W., “Stabilization and control of a spherical robot on an inclined plane”, Res. J. Appl. Sci. Eng. Tech., 5:6 (2013), 2289–2296