ICA  Vol.4 No.2 , May 2013
Modeling and Adaptive Control of an Omni-Mecanum-Wheeled Robot
Abstract: The complete dynamics model of a four-Mecanum-wheeled robot considering mass eccentricity and friction uncertainty is derived using the Lagrange’s equation. Then based on the dynamics model, a nonlinear stable adaptive control law is derived using the backstepping method via Lyapunov stability theory. In order to compensate for the model uncertainty, a nonlinear damping term is included in the control law, and the parameter update law with σ-modification is considered for the uncertainty estimation. Computer simulations are conducted to illustrate the suggested control approach.
Cite this paper: Lin, L. and Shih, H. (2013) Modeling and Adaptive Control of an Omni-Mecanum-Wheeled Robot. Intelligent Control and Automation, 4, 166-179. doi: 10.4236/ica.2013.42021.

[1]   R. Rojas, “A Short History of Omnidirectional Wheels.” /shortomni.pdf

[2]   K.-L. Han, H. Kim and J. S. Lee, “The Sources of Position Errors of Omni-Directional Mobile Robot with Mecanum Wheel,” IEEE International Conference on Systems, Man and Cybernetics, 2010, pp. 581-586.

[3]   N. Ould-Khessal, “Design and Implementation of a Robot Soccer Team Based on Omni-directional Wheels,” 2nd Canadian Conference on Computer and Robot Vision, 9-11 May 2005, pp. 544-549. doi:10.1109/CRV.2005.31

[4]   O. Diegel, A. Badve, G. Bright, J. Potgieter and S. Tlale, “Improved Mecanum Wheel Design for Omni-Directional Robots,” Proceedings of the Australasian Conference on Robotics and Automation, Auckland, 2002, pp. 117-121.

[5]   H. Asama, M. Sato, L. Bogoni, H. Kaetsu, A. Matsumoto and I. Endo, “Development of an Omni-Directional Mobile Robot with 3 DOF Decoupling Drive Mechanism,” IEEE International Conference on Robotics and Automation, Nagoya, 1995, pp. 1925-1930.

[6]   R. Siegwart, I. R. Nourbakhsh and D. Scaramuzza, “Introduction to Autonomous Mobile Robots,” 2nd Edition, MIT Press, London, 2011.

[7]   C.-C. Tsai, F.-C. Tai and Y.-R. Lee, “Motion Controller Design and Embedded Realization for Mecanum Wheeled Omni-Directional Robots,” Proceedings of the 8th World Congress on Intelligent Control and Automation, Taiwan, 2011, pp. 546-551.

[8]   N. Tlale and M. de Villiers, “Kinematics and Dynamics Modeling of a Mecanum Wheeled Mobile Platform,” 15th International Conference on Mechatronics and Machine Vision in Practice, Auckland, 2-4 December 2008, pp. 657-662. doi:10.1109/MMVIP.2008.4749608

[9]   P. Viboonchaicheep, A. Shimada and Y. Kosaka, “Position Rectification Control for Mecanum Wheeled OmniDirectional Vehicles,” 29th Annual Conference of the IEEE Industrial Electronics Society, Vol. 1, 2003, pp. 854-859.

[10]   K.-L. Han, O.-K. Choi, J. Kim, H. Kim and J. S. Lee, “Design and Control of Mobile Robot with MecanumWheel,” ICROS-SICE International Joint Conference, Fakuoka International Congress Center, Japan, 2009, pp. 2932-2937.

[11]   J. Park, S. Kim, J. Kim and S. Kim, “Driving Control of Mobile Robot with Mecanum Wheel Using Fuzzy Inference System,” International Conference on Control, Automation and Systems, Gyeonggi-do, 2010, pp. 2519-2523.

[12]   C.-C. Tsai and H.-L. Wu, “Nonsingular Terminal Sliding Control Using Fuzzy Wavelet Networks for MecanumWheeled Omni-Directional Vehicles,” IEEE International Conference on Fuzzy Systems, 2010, pp. 1-6.

[13]   M. W. Spong, S. Hutchinson and M. Vidyasagar, “Robot Modeling and Control,” Wiley, New York, 2006.

[14]   J. T. Spooner, M. Maggiore, R. Ordó?ez and K. M. Passino, “Stable Adaptive Control and Estimation for Nonlinear Systems: Neural and Fuzzy Approximator Techniques,” Wiley, New York, 2002. doi:10.1002/0471221139

[15]   C. K. Gau, “Design, Gait Generation and Embedded Microcontroller-Based Single-Axis Servo Controller Implementation for a Biped Walking Robot,” Master Thesis, National Chung Hsing University, Taichung, 2007.