Abstract
This paper discusses dynamic modeling and robust control of a differentially steered mobile robot subject to wheel slip and external loads. Consideration of wheel slip and external loads is crucial for high load and/or high speed applications because they act as disturbances to the system. Furthermore, a tire model that adequately accounts for the tire/ground interaction is essential and Dugoff's pneumatic tire friction model is utilized herein in deriving the dynamic equations of motion of the mobile robot. It is shown that the dynamic equations satisfy the matching condition, and the variable structure control method is employed to design a tracking controller of the mobile robot. Numerical simulation shows the promise of the developed control algorithm.
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Boyden, F. D. and Velinsky, S. A.: Dynamic modeling of a wheeled mobile robot for high load applications, in: Proc. of IEEE Internat. Conf. on Robotics and Automation, 1994, pp. 3071-3078.
Campion, G., Bastin, G., and D'Andrea-Novel, B.: Structural properties and classification of kinematic and dynamic models of wheeled mobile robots, IEEE Trans. Robotics Automat. 12 (1996), 47-61.
Fierro, R. and Lewis, F. L.: Control of a nonholonomic mobile robot: Backstepping kinematics into dynamics, in: Proc. 34th IEEE Conf. on Decision and Control, 1995, pp. 3805-3810.
Fukao, T., Nakagawa, H., and Adachi, N.: Adaptive tracking control of a nonholonomic mobile robot, IEEE Trans. Robotics Automat. 16 (2000), 609-615.
Gunter, R. and Sankar, S.: A friction circle concept for Dugoff's tyre friction model, Internat. J. Vehicle Design 1 (1980), 373-377.
Hamdy, A. and Badreddin, E.: Dynamic modeling of a wheeled mobile robot for identification and control, Robotics Flexible Manufacturing Systems (1992), 119-129.
Hong, D., Velinsky, S. A., and Feng, X.: Verification of a wheeled mobile robot dynamic model and control ramifications, J. Dyn. Systems Measm. Control 131 (1999), 58-63.
Hong, D., Velinsky, S. A., and Yamazaki, K.: Tethered mobile robot for automating highway maintenance operations, Robotics Computer-Integrated Manufacturing 13 (1997), 297-307.
Samson, C. and Ait-Abderrahim, K.: Feedback control of a nonholonomic wheeled cart in Cartesian space, in: Proc. of IEEE Internat. Conf. on Robotics and Automation, 1991, pp. 1136-1141.
Sarkar, N., Yun, X., and Kumar, V.: Control of mechanical systems with rolling constraints: Application to dynamic control of mobile robots, Internat. J. Robotics Res. 13 (1994), 55-69.
Utkin, V. I.: Sliding Modes and Their Application in Variable Structure Systems, Mir, Moscow, 1978.
Utkin, V. I.: Sliding Modes in Control Optimization, Springer, Berlin/Heidelberg, 1992.
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Zhang, Y., Chung, J.H. & Velinsky, S.A. Variable Structure Control of a Differentially Steered Wheeled Mobile Robot. Journal of Intelligent and Robotic Systems 36, 301–314 (2003). https://doi.org/10.1023/A:1023049307170
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DOI: https://doi.org/10.1023/A:1023049307170