Adaptive control of a cable-actuated parallel manipulator mounted on a platform with differential wheels under payload uncertainty

Document Type : Article

Authors

Robotic Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran.

Abstract

Cable-actuated parallel Manipulators (CPMs) are widely employed for object handling applications. In order to displace the carried object along the ground to an unlimited distance, the CPMs can be mounted on wheeled mobile robots (WMRs). The derivation of the dynamic equations of motion for this integrated system is presented using Lagrange method. Since in load carrying task, the inertia of the moving load is the main source of uncertainty, an adaptive control approach is considered for the CPM, whereas the WMR uses a feedback linearized sliding mode approach. In order to maintain the end-effector of the CPM in within its relative workspace in the WMR frame, the convergence rate in the two controllers should be similar. Decentralization of the control law can be accomplished if the inertia of the CPM motors are negligible compared with the other inertias of the system. This assumption is shown to be applicable if an introduced index is small enough to have noticeable effect on the tracking error.
 

Keywords

Main Subjects


References:
1. Korayem, M.H., Yousefzadeh, M., and Manteghi, S."Tracking control and vibration reduction of exible cable-suspended parallel robots using a robust input shaper", Scientia Iranica, 25(1), pp. 230-252 (2017).
2. Oh, S.-R., Ryu, J.-C., and Agrawal, S.K. "Dynamics and control of a helicopter carrying a payload using a cable-suspended robot", Journal of Mechanical Design, 128(5), pp. 1113-1121 (2006).
3. Korayem, M.H., Yousefzadeh, M., and Manteghi, S. "Dynamics and input-output feedback linearization control of a wheeled mobile cable-driven parallel robot", Multibody System Dynamics, 40(1), pp. 55-73 (2017).
4. Korayem, M.H., Yousefzadeh, M., and Susani, S. "Dynamic modeling and feedback linearization control of wheeled mobile cable-driven parallel robot considering cable sag", Arabian Journal of Science and Engineering, 42(11), pp. 4779-4788 (2017).
5. Hu, Y., Zhang, J., Wan, Z., et al. "Design and analysis of a 6-DOF mobile parallel robot with 3 limbs", Journal of Mechanical Science and Technology, 25(12), pp. 3215-3222 (2011).
6. Shao, Z.-F., Tang, X., Wang, L.-P., et al. "Dynamic modeling and wind vibration control of the feed support system in FAST", Nonlinear Dynamics, 67(2), pp. 965-985 (2012).
7. Singh, Y. and Santhakumar, M. "Inverse dynamics and robust sliding mode control of a planar parallel (2-PRP and 1-PPR) robot augmented with a nonlinear disturbance observer", Mechanism and Machine Theory, 92, pp. 29-50 (2015).
8. Asl, R.M., Hagh, Y.Sh., and Palm, R. "Robust control by adaptive non-singular terminal sliding mode", Engineering Applications of Artificial Intelligence, 59, pp. 205-217 (2017).
9. Yang, J., Su, H., Li, Z., et al. "Adaptive control with a fuzzy tuner for cable-based rehabilitation robot", International Journal of Control, Automation and Systems, 14(3), pp. 865-875 (2016).
10. Tuan, L.A., Lee, S.G., Nho, L.C., and Kim, D.H. "Model reference adaptive sliding mode control for three dimensional overhead cranes", International Journal of Precision Engineering and Manufacturing, 14(8), pp. 1329-1338 (2013).
11. Sun, G. and Ma, Zh. "Practical tracking control of linear motor with adaptive fractional order terminal sliding mode control", IEEE/ASME Transactions on Mechatronics, 22(6), pp. 2643-2653 (2017).
12. Roy, S., Roy, S.B., and Kar, I.N. "Adaptiverobust control of Euler-Lagrange systems with linearly parametrizable uncertainty bound", IEEE Transactions on Control Systems Technology, 26(5), pp. 1842- 1850 (2017).
13. Babaghasabha, R., Khosravi, M.A., and Taghirad,  H.D. "Adaptive robust control of fully constrained cable robots: singular perturbation approach", Nonlinear Dynamics, 85(1), pp. 607-620 (2016).
14. Utkin, V.I. and Poznyak, A.S. "Adaptive sliding mode control", In Aadvances in Sliding Mode Control, pp. 21-53, Springer, Berlin, Heidelberg (2013).
15. Qian, Y., Fang, Y., and Lu, B. "Adaptive robust tracking control for an offshore ship-mounted crane subject to unmatched sea wave disturbances", Mechanical Systems and Signal Processing, 114, pp. 556-570 (2019).
16. Qi, Z., McInroy, J.E., and Jafari, F. "Trajectory tracking with parallel robots using low chattering, fuzzy sliding mode controller", Journal of Intelligent & Robotic Systems, 48(3), pp. 333-356 (2007).
17. El-Ghazaly, G., Gouttefarde, M., and Creuze, V. "Adaptive terminal sliding mode control of a redundantly-actuated cable-driven parallel manipulator, cogiro", In Cable-Driven Parallel Robots, pp. 179- 200, Springer International Publishing (2015).
18. Schenk, Ch., Bulthoff, H.H., and Masone, C. "Robust adaptive sliding mode control of a redundant cable driven parallel robot", 19th International IEEE Conference in System Theory, Control and Computing (ICSTCC), pp. 427-434 (2015).
19. Torabi, M., Sharifi, M., and Vossoughi, Gh. "Robust adaptive sliding mode admittance control of exoskeleton rehabilitation robots", Scientia Iranica, 25(5), pp. 2628-2642 (2018).
20. Yamamoto, Y. "Control and coordination of locomotion and manipulation of a wheeled mobile manipulator", PhD Thesis, University of Pennsylvania, Philadelphia, PA (1994).
Volume 27, Issue 1
Transactions on Mechanical Engineering (B)
January and February 2020
Pages 273-286
  • Receive Date: 19 December 2017
  • Revise Date: 17 July 2018
  • Accept Date: 01 October 2018