Volume 15, Issue 1 (Journal of Control, V.15, N.1 Spring 2021)                   JoC 2021, 15(1): 93-112 | Back to browse issues page

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Kazemipour M, Shojaei K. Nonlinear Disturbance Observer-Based Fuzzy Adaptive Finite-Time Dynamic Surface Formation Control of Tractor–Trailer Wheeled Mobile Robots. JoC. 2021; 15 (1) :93-112
URL: http://joc.kntu.ac.ir/article-1-767-en.html
1- Najafabad Branch, Islamic Azad University
Abstract:   (1067 Views)
In this paper, the trajectory tracking control problem for a team of nonholonomic tractor-trailer wheeled mob­ile robots has been investigated based on the leader-follower strategy in the presence of structural uncertainties and external disturbances. For this purpose, the kinematic and dynamic equations of the formation of tractor-trailer robots are presented and leader-followerchr('39')s model is produced by defining the state error vector at first. Then, a nonlinear disturbance observer is designed by using the formation dynamic model to estimate and compensate the external disturbance and a new model of the system is obta­ined. In the following, a finite-time dynamic surface controller has been designed and presented by con­sidering an observer-based model. The proposed scheme ensures closed-loop signals boundedness and fast c­o­n­v­er­gence of tracking errors in a limited time. Furthermore, the par­a­m­etric uncertainties are estimated by using a fuzzy adaptive estimator with a great accuracy. Finally, the finite time stability of the closed-loop control system is proved by Lyapunov theory and the effectiveness of proposed algorithm is sho­w­n by simula­tions.
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Type of Article: Research paper | Subject: Special
Received: 2020/06/2 | Accepted: 2020/12/27 | ePublished ahead of print: 2021/02/27 | Published: 2021/05/22

References
1. [1] B. Deepak, D. R. Parhi, and A. K. Jha, "Kinematic Model of Wheeled Mobile Robots," Int. J. on Recent Trends in Engineering & Technology, vol. 5, no. 4, pp. 5-10, 2011.
2. [2] J. Cheng, B. Wang, Y. Zhang, and Z. Wang, "Backward orientation tracking control of mobile robot with N trailers," International Journal of Control, Automation and Systems, vol. 15, no. 2, pp. 867-874, 2017. [DOI:10.1007/s12555-015-0382-7]
3. [3] J. L. Martínez, J. Morales, A. Mandow, and A. García-Cerezo, "Steering limitations for a vehicle pulling passive trailers," IEEE Transactions on Control Systems Technology, vol. 16, no. 4, pp. 809-818, 2008. [DOI:10.1109/TCST.2007.916293]
4. [4] C. Altafini, "Some properties of the general n-trailer," International Journal of Control, vol. 74, no. 4, pp. 409-424, 2001. [DOI:10.1080/00207170010010579]
5. [5] J. David and P. Manivannan, "Control of truck-trailer mobile robots: a survey," Intelligent Service Robotics, vol. 7, no. 4, pp. 245-258, 2014. [DOI:10.1007/s11370-014-0152-z]
6. [6] J. Morales, J. L. Martínez, A. Mandow, and A. J. García-Cerezo, "Steering the last trailer as a virtual tractor for reversing vehicles with passive on-and off-axle hitches," IEEE Transactions on Industrial Electronics, vol. 60, no. 12, pp. 5729-5736, 2013. [DOI:10.1109/TIE.2013.2240631]
7. [7] J. Yuan, F. Sun, and Y. Huang, "Trajectory generation and tracking control for double-steering tractor-trailer mobile robots with on-axle hitching," IEEE Transactions on Industrial Electronics, vol. 62, no. 12, pp. 7665-7677, 2015. [DOI:10.1109/TIE.2015.2455016]
8. [8] J. Yuan, "Hierarchical motion planning for multisteering tractor-trailer mobile robots with on-axle hitching," IEEE/ASME Transactions on Mechatronics, vol. 22, no. 4, pp. 1652-1662, 2017. [DOI:10.1109/TMECH.2017.2695651]
9. [9] E. Kayacan, E. Kayacan, H. Ramon, and W. Saeys, "Learning in centralized nonlinear model predictive control: Application to an autonomous tractor-trailer system," IEEE Transactions on Control Systems Technology, vol. 23, no. 1, pp. 197-205, 2014. [DOI:10.1109/TCST.2014.2321514]
10. [10] E. Kayacan, H. Ramon, and W. Saeys, "Robust trajectory tracking error model-based predictive control for unmanned ground vehicles," IEEE/ASME Transactions on Mechatronics, vol. 21, no. 2, pp. 806-814, 2015. [DOI:10.1109/TMECH.2015.2492984]
11. [11] P. Kassaeiyan, B. Tarvirdizadeh, and K. Alipour, "Control of tractor-trailer wheeled robots considering self-collision effect and actuator saturation limitations," Mechanical Systems and Signal Processing, vol. 127, pp. 388-411, 2019. [DOI:10.1016/j.ymssp.2019.03.016]
12. [12] A. K. Khalaji and S. A. A. Moosavian, "Stabilization of a tractor-trailer wheeled robot," Journal of Mechanical Science and Technology, vol. 30, no. 1, pp. 421-428, 2016. [DOI:10.1007/s12206-015-1246-z]
13. [13] A. K. Khalaji and S. A. A. Moosavian, "Switching control of a Tractor-Trailer wheeled robot," International Journal of Robotics and Automation, vol. 30, no. 2, p. 10.2316, 2015. [DOI:10.2316/Journal.206.2015.2.206-4068]
14. [14] A. K. Khalaji and S. A. A. Moosavian, "Modified transpose Jacobian control of a tractor-trailer wheeled robot," Journal of Mechanical Science and Technology, vol. 29, no. 9, pp. 3961-3969, 2015. [DOI:10.1007/s12206-015-0841-3]
15. [15] K. Alipour, A. B. Robat, and B. Tarvirdizadeh, "Dynamics modeling and sliding mode control of tractor-trailer wheeled mobile robots subject to wheels' slip," Mechanism and Machine Theory, vol. 138, pp. 16-37, 2019. [DOI:10.1016/j.mechmachtheory.2019.03.038]
16. [16] A. Keymasi Khalaji and S. A. A. Moosavian, "Adaptive sliding mode control of a wheeled mobile robot towing a trailer," Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 229, no. 2, pp. 169-183, 2015. [DOI:10.1177/0959651814550539]
17. [17] A. Keymasi Khalaji and S. A. A. Moosavian, "Design and implementation of a fuzzy sliding mode control law for a wheeled robot towing a trailer," Modares Mechanical Engineering, vol. 14, no. 4, pp. 91-98, 2014.
18. [18] N. T. Binh, N. A. Tung, D. P. Nam, and N. H. Quang, "An adaptive backstepping trajectory tracking control of a tractor trailer wheeled mobile robot," International Journal of Control, Automation and Systems, vol. 17, no. 2, pp. 465-473, 2019. [DOI:10.1007/s12555-017-0711-0]
19. [19] A. K. Khalaji and S. A. A. Moosavian, "Robust adaptive controller for a tractor-trailer mobile robot," IEEE Transactions on Mechatronics, vol. 19, no. 3, pp. 943-953, 2013. [DOI:10.1109/TMECH.2013.2261534]
20. [20] M. Yue, X. Hou, R. Gao, and J. Chen, "Trajectory tracking control for tractor-trailer vehicles: a coordinated control approach," Nonlinear Dynamics, vol. 91, no. 2, pp. 1061-1074, 2018. [DOI:10.1007/s11071-017-3928-9]
21. [21] S. Peng and W. Shi, "Adaptive fuzzy integral terminal sliding mode control of a nonholonomic wheeled mobile robot," Mathematical Problems in Engineering, vol. 2017, 2017. [DOI:10.1155/2017/3671846]
22. [22] K. Shojaei, "Neural adaptive PID formation control of car-like mobile robots without velocity measurements," Advanced Robotics, vol. 31, no. 18, pp. 947-964, 2017. [DOI:10.1080/01691864.2017.1368413]
23. [23] N. Lashkari, M. Biglarbegian, and S. X. Yang, "Optimal design of formation tracking control for a tractor-trailer robotic system with omni-directional wheels," in 2016 IEEE 19th International Conference on Intelligent Transportation Systems (ITSC), 2016: IEEE, pp. 1826-1831. [DOI:10.1109/ITSC.2016.7795806]
24. [24] K. Shojaei, "Neural network formation control of a team of tractor-trailer systems," Robotica, vol. 36, no. 1, p. 39, 2018. [DOI:10.1017/S0263574717000145]
25. [25] J. Huang, S. Ri, L. Liu, Y. Wang, J. Kim, and G. Pak, "Nonlinear disturbance observer-based dynamic surface control of mobile wheeled inverted pendulum," IEEE Transactions on Control Systems Technology, vol. 23, no. 6, pp. 2400-2407, 2015. [DOI:10.1109/TCST.2015.2404897]
26. [26] S. Luo, S. Wu, Z. Liu, and H. Guan, "Wheeled mobile robot RBFNN dynamic surface control based on disturbance observer," International Scholarly Research Notices, vol. 2014, 2014. [DOI:10.1155/2014/634936]
27. [27] M. Galicki, "Robust task space finite-time chattering-free control of robotic manipulators," Journal of Intelligent & Robotic Systems, vol. 85, no. 3, pp. 471-489, 2017. [DOI:10.1007/s10846-016-0387-3]
28. [28] M. Cai, Z. Xiang, and J. Guo, "Adaptive finite-time consensus protocols for multi-agent systems by using neural networks," IET Control Theory & Applications, vol. 10, no. 4, pp. 371-380, 2016. [DOI:10.1049/iet-cta.2015.0915]
29. [29] J. Wu, J. Huang, Y. Wang, and K. Xing, "Nonlinear disturbance observer-based dynamic surface control for trajectory tracking of pneumatic muscle system," IEEE Transactions on Control Systems Technology, vol. 22, no. 2, pp. 440-455, 2013. [DOI:10.1109/TCST.2013.2262074]
30. [30] S. Yu, X. Yu, B. Shirinzadeh, and Z. Man, "Continuous finite-time control for robotic manipulators with terminal sliding mode," Automatica, vol. 41, no. 11, pp. 1957-1964, 2005. [DOI:10.1016/j.automatica.2005.07.001]
31. [31] H. Fallah Ghavidel, A. Akbarzadeh Kalat, and V. Ghorbani, "Observer-Based robust adaptive fuzzy approach for current control of robot manipulators by estimation of uncertainties," Modares Mechanical Engineering, vol. 17, no. 6, pp. 286-294, 2017.

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