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Regular and Chaotic Dynamics, 2015, Volume 20, Issue 2, Pages 134–152
DOI: https://doi.org/10.1134/S1560354715020033
(Mi rcd17)
 

This article is cited in 69 scientific papers (total in 69 papers)

The Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform

Yury L. Karavaeva, Alexander A. Kilinb

a M. T. Kalashnikov Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069 Russia
b Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (69)
References:
Abstract: This paper deals with the problem of a spherical robot propelled by an internal omniwheel platform and rolling without slipping on a plane. The problem of control of spherical robot motion along an arbitrary trajectory is solved within the framework of a kinematic model and a dynamic model. A number of particular cases of motion are identified, and their stability is investigated. An algorithm for constructing elementary maneuvers (gaits) providing the transition from one steady-state motion to another is presented for the dynamic model. A number of experiments have been carried out confirming the adequacy of the proposed kinematic model.
Keywords: spherical robot, kinematic model, dynamic model, nonholonomic constraint, omniwheel.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005 and performed in Steklov Mathematical Institute of Russian Academy of Sciences.
Received: 19.01.2014
Accepted: 27.02.2015
Bibliographic databases:
Document Type: Article
MSC: 93B18, 93B52
Language: English
Citation: Yury L. Karavaev, Alexander A. Kilin, “The Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform”, Regul. Chaotic Dyn., 20:2 (2015), 134–152
Citation in format AMSBIB
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\by Yury L. Karavaev, Alexander A. Kilin
\paper The Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 2
\pages 134--152
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Linking options:
  • https://www.mathnet.ru/eng/rcd17
  • https://www.mathnet.ru/eng/rcd/v20/i2/p134
  • This publication is cited in the following 69 articles:
    1. Theresa E. Honein, Oliver M. O'Reilly, “Explorations of the holonomy of a rolling sphere”, Proc. R. Soc. A., 480:2282 (2024)  crossref
    2. Hui Bian, Zihan Li, Chang-Qian Meng, “Design and motion analysis of a new wheeled rolling robot”, Mech. Sci., 15:2 (2024), 431  crossref
    3. Stefano Mauro, Marcello Romano, 2024 11th International Workshop on Metrology for AeroSpace (MetroAeroSpace), 2024, 213  crossref
    4. Matteo Melchiorre, Tommaso Colamartino, Martina Ferrauto, Mario Troise, Laura Salamina, Stefano Mauro, “Design of a Spherical Rover Driven by Pendulum and Control Moment Gyroscope for Planetary Exploration”, Robotics, 13:6 (2024), 87  crossref
    5. B. I. Adamov, “Geometry and Kinematics of the Mecanum Wheel on a Plane and a Sphere”, Rus. J. Nonlin. Dyn., 20:1 (2024), 43–78  mathnet  crossref
    6. N. V. Nor, “Reinforcement Learning in the Task of Spherical Robot Motion Control”, Rus. J. Nonlin. Dyn., 20:2 (2024), 295–310  mathnet  crossref
    7. Han Mao, Tongtong Xie, Aibin Zhu, Di Zhang, Xinyu Wu, Cheng Li, Xin Wang, 2024 2nd International Conference on Design Science (ICDS), 2024, 1  crossref
    8. Suwan Bu, Liang Yan, Xiaoshan Gao, Gang Wang, Peiran Zhao, I-Ming Chen, “Design and Motion Control of Spherical Robot With Built-In Four-Wheel Omnidirectional Mobile Platform”, IEEE Trans. Instrum. Meas., 72 (2023), 1  crossref
    9. Jingang Jiang, Yi Zhang, Shichang Song, Jianpeng Sun, Dianhao Wu, “Research Development of Centroid Deviation Type Spherical Robot”, ENG, 17:2 (2023)  crossref
    10. Karla Schröder, Gonzalo Garcia, Roberto Chacón, Guelis Montenegro, Alberto Marroquín, Gonzalo Farias, Sebastián Dormido-Canto, Ernesto Fabregas, “Development and Control of a Real Spherical Robot”, Sensors, 23:8 (2023), 3895  crossref
    11. Shihao Fang, Jianjun Qin, Yu Cao, Pai Shao, 2023 WRC Symposium on Advanced Robotics and Automation (WRC SARA), 2023, 365  crossref
    12. Wenke Ma, Chenyang Chang, Yuxue Cao, Futao Wang, Pengfei Wang, Bingyang Li, Lecture Notes in Electrical Engineering, 845, Advances in Guidance, Navigation and Control, 2023, 5850  crossref
    13. Bernard Brogliato, “Modeling, analysis and control of robot–object nonsmooth underactuated Lagrangian systems: A tutorial overview and perspectives”, Annual Reviews in Control, 55 (2023), 297  crossref
    14. E. M. Artemova, A. A. Kilin, “A Nonholonomic Model and Complete Controllability of a Three-Link Wheeled Snake Robot”, Rus. J. Nonlin. Dyn., 18:4 (2022), 681–707  mathnet  crossref  mathscinet
    15. Yu. L. Karavaev, “Spherical Robots: An Up-to-Date Overview of Designs and Features”, Rus. J. Nonlin. Dyn., 18:4 (2022), 709–750  mathnet  crossref  mathscinet
    16. G. R. Saypulaev, B. I. Adamov, A. I. Kobrin, “Comparative Analysis of the Dynamics of a Spherical Robot with a Balanced Internal Platform Taking into Account Different Models of Contact Friction”, Rus. J. Nonlin. Dyn., 18:5 (2022), 803–815  mathnet  crossref  mathscinet
    17. Guelis Montenegro, Roberto Chacón, Ernesto Fabregas, Gonzalo Garcia, Karla Schröder, Alberto Marroquín, Sebastián Dormido-Canto, Gonzalo Farias, “Modeling and Control of a Spherical Robot in the CoppeliaSim Simulator”, Sensors, 22:16 (2022), 6020  crossref
    18. Luigi Romano, Francesco Timpone, Fredrik Bruzelius, Bengt Jacobson, “Rolling, tilting and spinning spherical wheels: Analytical results using the brush theory”, Mechanism and Machine Theory, 173 (2022), 104836  crossref
    19. V. M. Budanov, Yu. D. Selyutskiy, A. M. Formalskii, “Prevention of Oscillations of a Spherical Robot in Longitudinal Motion”, J. Comput. Syst. Sci. Int., 61:4 (2022), 567  crossref
    20. Jasper Zevering, Dorit Borrmann, Anton Bredenbeck, Andreas Nüchter, 2022 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2022, 5656  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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