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Article contents

Modeling and control of an underactuated tractor–trailer wheeled mobile robot

Published online by Cambridge University Press:  31 January 2017

Asghar Khanpoor
Affiliation:
Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran. E-mails: asghar.khanpoor@yahoo.com, moosavian@kntu.ac.ir
Ali Keymasi Khalaji*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, Kharazmi University, Tehran, Iran
S. Ali A. Moosavian
Affiliation:
Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran. E-mails: asghar.khanpoor@yahoo.com, moosavian@kntu.ac.ir
*
*Corresponding author. E-mail: keymasi@khu.ac.ir

Summary

Trajectory tracking is one of the main control problems in the context of Wheeled Mobile Robots (WMRs). Control of underactuated systems has been focused by many researchers during past few years. In this paper, tracking control of a Tractor–Trailer Wheeled Mobile Robot (TTWMR) has been discussed. TTWMR includes a differential drive WMR towing a passive spherical wheeled trailer. Spherical wheels in contrast with standard wheels make the robot highly underactuated with severe non-linearities. Underactuation is due to the use of spherical wheeled trailer to increase robots' maneuverability and degrees of freedom. In fact, standard wheels are subjected to non-holonomic constraints due to pure rolling and non-slip conditions, which reduce robot maneuverability. In this paper, after introducing the robot, kinematics and kinetics models are obtained. Then, based on a physical intuition, a novel control algorithm is developed for the robot, i.e. Lyapunov-PID control algorithm. Subsequently, singularity avoidance of the proposed algorithm is discussed and the stability of the algorithm is analyzed. Finally, simulation and experimental results are presented which reveal the effectiveness of the proposed algorithm.

Type
Articles
Information
Robotica , Volume 35 , Issue 12 , December 2017 , pp. 2297 - 2318
Copyright
Copyright © Cambridge University Press 2017 

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References

1. Siegwart, R., Nourbakhsh, I. R. and Scaramuzza, D., Introduction to Autonomous Mobile Robots (MIT Press, Massachusetts, 2011).Google Scholar
2. Alipour, K. and Moosavian, S. A. A., “Effect of terrain traction, suspension stiffness and grasp posture on the tip-over stability of wheeled robots with multiple arms,” J. Adv. Robot. 26 (8–9), 817842 (2012).Google Scholar
3. Alipour, K. and Moosavian, S. A. A., “How to ensure stable motion of suspended wheeled mobile robots,” J. Ind. Robot. 38 (2), 139152 (2011).CrossRefGoogle Scholar
4. Alipour, K., Moosavian, S. A. A. and Bahramzadeh, Y., “Dynamics of wheeled mobile robots with flexible suspension: Analytical model and verification,” Int. J. Robot. Autom. 23 (4), 242250 (2008).Google Scholar
5. Campion, G., Bastin, G. and Novel, B. D., “Structural properties and classification of kinematic and dynamic models of wheeled mobile robots,” IEEE Trans. Robot. Autom. 12 (1), 4762 (1996).CrossRefGoogle Scholar
6. Mc, N. H.Clamroch and Kolmanovsky, I., “Developments in nonholonomic control problems,” IEEE Control Syst. 15, 2036 (1995).Google Scholar
7. Lapierre, L., Zapata, R. and Lepinay, P., “Combined path-following and obstacle avoidance control of wheeled robot,” The Int. J. Robot. Res. 26 (4), 361375 (2007).CrossRefGoogle Scholar
8. Sun, S. and Cui, P., “Path tracking and a partical point stabilization of mobile robot,” Robot. Comput.-Integr. Manuf. 20 (1), 2934 (2004).CrossRefGoogle Scholar
9. Prieur, C. and Astolfi, A., “Robust stabilization of chained systems via hybrid control,” IEEE Trans. Autom. Control, 48 (10), 17681772 (2003).CrossRefGoogle Scholar
10. Wang, C., “Semiglobal practical stabilization of nonholonomic wheeled mobile robots with saturated inputs,” Automatica, 44 (3), 816822 (2008).CrossRefGoogle Scholar
11. Chen, C. Y., Li, T. H. S., Yeh, Y. C. and Chang, C. C., “Design and implementation of an adaptive sliding-mode dynamic controller for wheeled mobile robots,” Mechatronics, 19 (2), 156166 (2009).CrossRefGoogle Scholar
12. Matins, F. N., Celeste, W. C., Carelli, R., Sarcinelli-Filho, M. and Bastosfilho, T. F., “An adaptive dynamic controller for autonomous mobile robot trajectory tracking,” Control Eng. Pract. 16 (11), 13541363 (2008).CrossRefGoogle Scholar
13. Yang, E., Gu, D., Mita, T. and Hu, H., “Nonlinear Tracking Control of a Car-Like Mobile Robot Via Dynamic Feedback Linearization,” Proceeding of Control Conference, Bath, United Kingdom (2004).Google Scholar
14. Chen, C.-Y., Li, T.-H. S., Yeh, Y.-C. and Chang, C.-C., “Design and implementation of an adaptive sliding-mode dynamic controller for wheeled mobile robots,” Mechatronics, 19 (2), 156166 (2009).CrossRefGoogle Scholar
15. Huang, J., Wen, C., Wang, W. and Jiang, Z.-P., “Adaptive output feedback tracking of a nonholonomic mobile robot,” Automatica, 50 (3), 821831 (2014).CrossRefGoogle Scholar
16. Chwa, D., “Fuzzy adaptive tracking control of wheeled robots with stat-dependent kinematic and dynamic disturbances,” IEEE Trans. Fuzzy Syst. 20 (3), 587593 (2012).CrossRefGoogle Scholar
17. McGeer, T., “Passive dynamic walking,” Int. J. Robot. Res. 9 (2), 6282 (1990).CrossRefGoogle Scholar
18. Wichlund, K. Y., Sørdalen, O. J. and Egeland, O., “Control of Vehicles with Second-Order Nonholonomic Constraints: Underactuated Vehicles,” Proceedings of the European Control Conference, Rome, Italy (1995) pp. 3086–3091.Google Scholar
19. Spong, M. W., “Modeling and control of elastic joint robots,” Trans. ASME, J. Dyn. Syst. Meas. Control, 109, 310319 (Dec. 1987).CrossRefGoogle Scholar
20. Spong, M. W., “Underactuated Mechanical Systems,” Proceedings of the Control Problems in Robotics and Automation (Springer, Berlin Heidelberg, 1998) pp. 135–150.Google Scholar
21. Yue, M., Hu, P. and Sun, W., “Path following of a class of non-holinomic mobile robot with underactuated vehicle bod,” IET Control Theory & Appl. 4 (10), 18981904 (2010).CrossRefGoogle Scholar
22. Oryschuk, P., Salerno, A., Al-, A. M.Husseini and Angeles, J., “Experimental validation of an underactuated two-wheeled mobile robot,” IEE/ASME Trans. Mechatronics, 14 (2), 252257 (2009).CrossRefGoogle Scholar
23. Khanpoor, A., Khalaji, A. K. and Moosavian, S. A. A., “Dynamics Modeling and Control of a Wheeled Mobile Robot with Omni-Directional Trailer,” 22nd Iranian Conference on, Electrical Engineering (ICEE), Tehran, Iran (2014) pp. 1254–1259.Google Scholar
24. Khalaji, A. K. and Moosavian, S. A. A., “Robust adaptive controller for a Tractor-Trailer mobile robot,” IEEE/ASME Trans. Mechatronics, 19 (3), 943953 (2014).CrossRefGoogle Scholar
25. Khalaji, A. K. and Moosavian, S. A. A., “Adaptive sliding mode control of a wheeled mobile robot towing a trailer,” Proc. Inst. Mech. Eng. Part I: J. Syst. Control Eng. 229 (2), 169183 (2015).Google Scholar
26. Khalaji, A. K., Bidgoli, M. R. and Moosavian, S. A. A., “Non-Model Based Control for a Wheeled Mobile Robot Towing Two Trailers,” Proceeding of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 229 (1), 97108 (2014).Google Scholar
27. Hangos, K. M., Bokor, J. and Szederkenyi, G., Analysis and Control of Nonlinear Process Systems (Springer Science & Business Media, London, 2004).Google Scholar
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