Robust control for a wheeled mobile robot to track a predefined trajectory in the presence of unknown wheel slips
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https://doi.org/10.15625/0866-7136/10564Keywords:
asymptotic convergence to zero, bounded external disturbances, desired tracking performance, model uncertainties, unknown wheel slipsAbstract
In this paper, a robust controller for a nonholonomic wheeled mobile robot (WMR) is proposed for tracking a predefined trajectory in the presence of unknown wheel slips, bounded external disturbances, and model uncertainties. The whole control system consists of two closed loops. Specifically, the outer one is employed to control the kinematics, and the inner one is used to control the dynamics. The output of kinematic controller is adopted as the input of the inner (dynamic) closed loop. Furthermore, two robust techniques were utilized to assure the robustness. In particular, one is used in the kinematic controller to compensate the harmful effects of the unknown wheel slips, and the other is used in the dynamic controller to overcome the model uncertainties and bounded external disturbances. Thanks to this proposed controller, a desired tracking performance in which tracking errors converge asymptotically to zero is obtained. According to Lyapunov theory and LaSalle extension, the desired tracking performance is guaranteed to be achieved. The results of computer simulation have shown the validity and efficiency of the proposed controller.
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H. M. Becerra, G. López-Nicolás, and C. Sagués. A sliding-mode-control law for mobile robots based on epipolar visual servoing from three views. IEEE Transactions on Robotics, 27, (1), (2011), pp. 175–183. doi:10.1109/tro.2010.2091750.
B. S. Park, S. J. Yoo, J. B. Park, and Y. H. Choi. A simple adaptive control approach for trajectory tracking of electrically driven nonholonomic mobile robots. IEEE Transactions on Control Systems Technology, 18, (5), (2010), pp. 1199–1206. doi:10.1109/tcst.2009.2034639.
R. Fierro and F. L. Lewis. Control of a nonholonomic mobile robot using neural networks. IEEE Transactions on Neural Networks, 9, (4), (1998), pp. 589–600. doi:10.1109/72.701173.
T. C. Lee, K. T. Song, C. H. Lee, and C. C. Teng. Tracking control of unicycle-modeled mobile robots using a saturation feedback controller. IEEE Transactions on Control Systems Technology, 9, (2), (2001), pp. 305–318. doi:10.1109/87.911382.
H. Gao, X. Song, L. Ding, K. Xia, N. Li, and Z. Deng. Adaptive motion control of wheeled mobile robot with unknown slippage. International Journal of Control, 87, (8), (2014), pp. 1513–1522. doi:10.1080/00207179.2013.878038.
M. Seyr and S. Jakubek. Proprioceptive navigation, slip estimation and slip control for autonomous wheeled mobile robots. In Proceedings of IEEE Conference on Robotics, Automation and Mechatronics, Bangkok, (2006). IEEE, pp. 1–6. doi:10.1109/ramech.2006.252627.
C. B. Low and D. Wang. Integrated estimation for wheeled mobile robot posture, velocities, and wheel skidding perturbations. In Proceedings of IEEE International Conference on Robotics and Automation,, Roma, (2007). IEEE, pp. 2355–2360. doi:10.1109/robot.2007.363671.
N. V. Tinh, N. T. Linh, P. T. Cat, P. M. Tuan, M. N. Anh, and N. P. Anh. Modeling and feedback linearization control of a nonholonomic wheeled mobile robot with longitudinal, lateral slips. In Proceedings of IEEE International Conference on Automation Science and Engineering (CASE), Fort Worth, (2016). IEEE, pp. 996–1001. doi:10.1109/coase.2016.7743512.
N. B. Hoang and H. J. Kang. Neural network-based adaptive tracking control of mobile robots in the presence of wheel slip and external disturbance force. Neurocomputing, 188, (2016), pp. 12–22. doi:10.1016/j.neucom.2015.02.101.
S. J. Yoo. Approximation-based adaptive control for a class of mobile robots with unknown skidding and slipping. International Journal of Control, Automation and Systems, 10, (4), (2012), pp. 703–710. doi:10.1007/s12555-012-0405-6.
D. Wang and C. B. Low. Modeling and analysis of skidding and slipping in wheeled mobile robots: Control design perspective. IEEE Transactions on Robotics, 24, (3), (2008), pp. 676–687. doi:10.1109/tro.2008.921563.
J. J. E. Slotine andW. Li. Applied nonlinear control. Prentice-Hall, (1991).
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