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	Dynamic surface control for omnidirectional mobile robot with full state constrains and input saturation</div>

Chen Zhiqiang, Krasnov Aleksander Yu., Liao Duzhesheng, Yang Qiusheng

2023 , VOLUME 23, NUMBER 6 ( november-december )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.

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doi: 10.17586/2226-1494-2023-23-6-1096-1105

Dynamic surface control for omnidirectional mobile robot with full state constrains and input saturation

C. Zhiqiang, A. Y. Krasnov, L. Duzhesheng, Y. Qiusheng

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Article in English

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Zhiqiang C., Krasnov A.Yu., Duzhesheng L., Qiusheng Y. Dynamic surface control for omnidirectional mobile robot with full state constrains and input saturation. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2023, vol. 23, no. 6, pp. 1096–1105. doi: 10.17586/2226-1494-2023-23-6-1096-1105

Abstract

In this paper, we study the trajectory tracking problem of a three-wheeled omnidirectional mobile robot with full state constraints and actuator saturation. Firstly, we analyze a three-wheeled omnidirectional mobile robot and give control model with actuator saturation. By using tan-type Barrier Lyapunov Function and backstepping method, kinematic and dynamic controllers are built, which can ensure that the system full states will not violate the given constraints when the robot is performing trajectory tracking. Then, considering the differential explosion problem which occurs when solving the derivatives of the virtual control law, we use a second-order differential sliding mode surface to calculate it, so as to reduce the complexity of the operation. In addition, due to the output saturation problem of the robot drive motor, an auxiliary compensation system is adopted to compensate for the error generated by the saturation function. Finally, an experimental simulation is performed in MATLAB and the simulation results illustrate the effectiveness of the control algorithm proposed in this paper.

Keywords: full state constrains, barrier Lyapunov function, input saturation, omnidirectional mobile robot, dynamic surface control, backstepping method

References

Kramer J., Scheutz M. Development environments for autonomous mobile robots: A survey. Autonomous Robots, 2007, vol. 22, no. 1, pp. 101–132. https://doi.org/10.1007/s10514-006-9013-8
Watanabe K., Shiraishi Y., Tzafestas S.G., Tang J., Fukuda T. Feedback control of an omnidirectional autonomous platform for mobile service robots. Journal of Intelligent and Robotic Systems, 1998, vol. 22, pp. 315–330. https://doi.org/10.1023/A:1008048307352
Kalmár-Nagy T., D’Andrea R., Ganguly P. Near-optimal dynamic trajectory generation and control of an omnidirectional vehicle. Robotics and Autonomous Systems, 2003, vol. 46, no. 1, pp. 47–64. https://doi.org/10.1016/j.robot.2003.10.003
Liu Y., Zhu J.J., Williams R.L. II, Wu J. Omni-directional mobile robot controller based on trajectory linearization. Robotics and autonomous Systems, 2008, vol. 56, no. 5, pp. 461–479. https://doi.org/10.1016/j.robot.2007.08.007
Huang H.C., Tsai C.C. Adaptive trajectory tracking and stabilization for omnidirectional mobile robot with dynamic effect and uncertainties. IFAC Proceedings Volumes, 2008, vol. 41, no. 2, pp. 5383–5388. https://doi.org/10.3182/20080706-5-KR-1001.00907
Alakshendra V., Chiddarwar S.S. Adaptive robust control of Mecanum-wheeled mobile robot with uncertainties. Nonlinear Dynamics, 2017, vol. 87, no. 4, pp. 2147–2169. https://doi.org/10.1007/s11071-016-3179-1
Lu X., Zhang X., Zhang G., Fan J., Jia S. Neural network adaptive sliding mode control for omnidirectional vehicle with uncertainties. ISA Transactions, 2019, vol. 86, pp. 201–214. https://doi.org/10.1016/j.isatra.2018.10.043
Zijie N., Qiang L., Yonjie C., Zhijun S. Fuzzy control strategy for course correction of omnidirectional mobile robot. International Journal of Control, Automation and Systems, 2019, vol. 17, no. 9, pp. 2354–2364. https://doi.org/10.1007/s12555-018-0633-5
Tee K.P., Ge S.S., Tay E.H. Barrier Lyapunov functions for the control of output-constrained nonlinear systems. Automatica, 2009, vol. 45, no. 4, pp. 918–927. https://doi.org/10.1016/j.automatica.2008.11.017
Xi C., Dong J. Adaptive neural network-based control of uncertain nonlinear systems with time-varying full-state constraints and input constraint. Neurocomputing, 2019, vol. 357, pp. 108–115. https://doi.org/10.1016/j.neucom.2019.04.060
Ding L., Li S., Liu Y.J., Gao H., Chen C., Deng Z. Adaptive neural network-based tracking control for full-state constrained wheeled mobile robotic system. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017, vol. 47, no. 8, pp. 2410–2419. https://doi.org/10.1109/TSMC.2017.2677472
Dong C., Liu Y., Wang Q. Barrier Lyapunov function based adaptive finite-time control for hypersonic flight vehicles with state constraints. ISA Transactions, 2020, vol. 96, pp. 163–176. https://doi.org/10.1016/j.isatra.2019.06.011
Doyle J.C., Smith R.S., Enns D.F. Control of plants with input saturation nonlinearities. American Control Conference, IEEE, 1987, pp. 1034–1039. https://doi.org/10.23919/ACC.1987.4789464
Mofid O., Mobayen S. Adaptive finite-time backstepping global sliding mode tracker of quad-rotor UAVs under model uncertainty, wind perturbation, and input saturation. IEEE Transactions on Aerospace and Electronic Systems, 2022, vol. 58, no. 1, pp. 140–151. https://doi.org/10.1109/TAES.2021.3098168
Chen X., Jia Y., Matsuno F. Tracking control for differential-drive mobile robots with diamond-shaped input constraints. IEEE Transactions on Control Systems Technology, 2014, vol. 22, no. 5, pp. 1999–2006. https://doi.org/10.1109/TCST.2013.2296900
Yang C., Huang D., He W., Cheng L. Neural control of robot manipulators with trajectory tracking constraints and input saturation. IEEE Transactions on Neural Networks and Learning Systems, 2021, vol. 32, no. 9, pp. 4231–4242. https://doi.org/10.1109/TNNLS.2020.3017202
Gao Y.-F., Sun X.-M., Wen C., Wang W. Adaptive tracking control for a class of stochastic uncertain nonlinear systems with input saturation. IEEE Transactions on Automatic Control, 2017, vol. 62, no. 5, pp. 2498–2504. https://doi.org/10.1109/TAC.2016.2600340
Levant A. Higher-order sliding modes, differentiation and output-feedback control. International Journal of Control, 2003, vol. 76, no. 9-10, pp. 924–941. https://doi.org/10.1080/0020717031000099029

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