Linear Motion Control of an Underactuated Spherical Mobile Robot

Abstract:

Due to the nonholonomic and underactutated properties of spherical robot, to realize its steady motion control is usually difficult. This paper presents a linear motion control method for an underactuated spherical robot. The linear motion dynamic model of the spherical robot is deduced with Euler-Lagrange method, which is a second order, nonlinear differential system with two coupled variables. Without any linearization a single-input multiple-output PID controller to realize the position control and pendulum angle control simultaneously is designed. Simulation results about the position stabilization and path tracking control are provided separately to show the control effects of the proposed controller.

• Periodical: Applied Mechanics and Materials (Volumes 644-650)
• Pages: 351-355
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.644-650.351
• Online since: September 2014
• Authors: Qiang Zhan*, Xing Chi, Xi Xi
• Keywords: Motion Control, PID Control, Spherical Robot, Underactuated

References

[1] Joshi, V. A., Banavar, R. N., Hippalgaonkar, R. Design and analysis of a spherical mobile robot[J]. Mechanism and Machine Theory, 2010: 45 (2): 130-136.

DOI: 10.1016/j.mechmachtheory.2009.04.003

[2] Li Z. X., Canny J. Motion of two rigid bodies with rolling constraint[J]. IEEE Transactions on Robotics and Automation, 1990: 6(1): 62-72.

DOI: 10.1109/70.88118

[3] Halme A., Schonberg T., Wang Y. Motion control of a spherical mobile robot[C]. Proceedings of IEEE International Conference on Advanced Motion Control, Mie, Japan. 1996. 259-264.

DOI: 10.1109/amc.1996.509415

[4] Javadi A. H. A. , Mojabi P. Introducing August: a novel strategy for an omnidirectional spherical rolling robot [C]. Proceedings of IEEE International Conference on Robotics and Automation, Washington, USA. 2002. 3527-3533.

DOI: 10.1109/robot.2002.1014256

[5] Vrunda A. Joshi , Ravi N. Banavar. Motion analysis of a spherical mobile robot[J]. Robotica, 2009: 27: 343–353.

DOI: 10.1017/s0263574708004748

[6] Das T. , Mukherjee R. Exponential stabilization of the rolling sphere[J]. Automatica, 2004: 40(11): 1877-1889.

DOI: 10.1016/j.automatica.2004.06.003

[7] Das T. , Mukherjee R. Reconfiguration of a rolling sphere: a problem in evolute-involute geometry[J]. ASME Journal of Applied Machanics, 2006: 73(4): 590-597.

DOI: 10.1115/1.2164515

[8] Bhattacharya S. , Agrawal S. K. Spherical rolling robot: a design and motion planning studies[J]. IEEE Transactions on Robotics and Automation, 2000: 16(6): 835-839.

DOI: 10.1109/70.897794

[9] Antonio B., Andrea B., Domenico P. , Andrea G. Introducing the SPHERICAL,: an experimental tested for research and teaching in nonholonomy[C]. Proceedings of IEEE International Conference on Robotics and Automation, Albuquerque, NM, USA. 1997. 2620-2625.

[10] Antonio B., Alessia M. A local-local planning algorithm for rolling objects[C]. Proceedings of IEEE Conference on Robotics and Automation, Washingtong, USA. 2002. 1759-1764.

[11] Liu D. L., Sun H. X., Jia Q. X. A family of spherical mobile robot: Driving ahead motion control by feedback linearization[C]. Proceedings of IEEE International Symposium on Systems and Control in Aerospace and Astronautics, Shenzhen, China. 2008. 1-6.

DOI: 10.1109/isscaa.2008.4776275

[12] Kishida Y., Omatu S. Fujinaka T., Yoshioka M. Neuro-PID control for stabilization of inverted single and double Pendulums[C]. Proceedings of IEEE International Conference on Systems, Man and Cybernetics, Tokyo, Japan. 1999. 1108-1112.

DOI: 10.1109/icsmc.1999.812565