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Optimal Control of a Wheeled Mobile Cable-Driven Parallel Robot ICaSbot with Viscoelastic Cables

Published online by Cambridge University Press:  14 November 2019

Moharam Habibnejad Korayem Open the ORCID record for Moharam Habibnejad Korayem [Opens in a new window] ,
Mahdi Yousefzadeh  and
Hami Tourajizadeh Open the ORCID record for Hami Tourajizadeh [Opens in a new window]
Moharam Habibnejad Korayem*
Affiliation:
Robotic Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
Mahdi Yousefzadeh
Affiliation:
Mechanical Engineering Department, Mazandaran University of Science and Technology, Babol, Iran. E-mail: ma.yousef@gmail.com
Hami Tourajizadeh
Affiliation:
Mechanical Engineering Department, Faculty of Engineering, Kharazmi University, Tehran, Iran. E-mail: Tourajizadeh@khu.ac.ir
*
*Corresponding author. E-mail: hkorayem@iust.ac.ir
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Summary

In this paper, a new mobile cable-driven parallel robot is proposed by mounting a spatial cable robot on a wheeled mobile robot. This system includes all the advantages of cable robots such as high ratio of payload to weight and good stiffness and accuracy while its deficiency of limited workspace is eliminated by the aid of its mobile chassis. The combined system covers a vast workspace area whereas it has negligible vibrations and cable sag due to using shorter cables. The dynamic equations are derived using Gibbs–Appell formulation considering viscoelasticity of the cables. Therefore, the more realistic viscoelastic cable model of the robot reveals the system flexibility effect and shows the requirements needed to control the end-effector in the conditions with cable elasticity. The viscoelastic system stability is investigated based on the input–output feedback linearization and using only the actuators feedback data. Feedback linearization controller is equipped by two additional controllers, that is, the optimal controller based on Linear Quadratic Regulator (LQR) method and finite horizon model predictive approach. They are used to control the system compromising between the control effort and error signals of the feedback linearized system. The applied control input to the robot plant is the voltage signal limited to a specified band. The validity of modeling and the designed controller efficiency are investigated using MATLAB simulation and its verification is accomplished by experimental tests conducted on the manufactured cable robot, ICaSbot.

Keywords

Cable-driven parallel robotWheeled mobile robotGibbs–AppellNon-holonomicFeedback linearizationLQR
Type
Articles
Information
Robotica , Volume 38 , Issue 8 , August 2020 , pp. 1513 - 1537
Copyright
© Cambridge University Press 2019

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References

Korayem, M. H. and Shafei, A. M., “A new approach for dynamic modeling of n-viscoelastic-link robotic manipulators mounted on a mobile base,” Nonlinear Dyn . 79(4), 2767–2786 (2015). doi: 10.1007/s11071-014-1845-8CrossRefGoogle Scholar
Korayem, M. H., Esfeden, R. A. and Nekoo, S. R., “Path planning algorithm in wheeled mobile manipulators based on motion of arms,” J. Mech. Sci. Technol. 29(4), 1753–1763 (2015). doi: 10.1007/s12206-015-0349-xCrossRefGoogle Scholar
Fujita, T. and Sugawara, H., “Development of a Parallel Link Arm for Object Handling by Wheeled Mobile Robot,” 2014 11th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Vienna, Austria, vol. 2 (2014) pp. 592–598. doi: 10.5220/0005116905920598CrossRefGoogle Scholar
Moosavian, S. A. A., Pourreza, A. and Alipour, K., “Dynamics and stability of a hybrid serial-parallel mobile robot,” Math. Comput. Modell. Dyn. Syst. 16(1), 35–56 (2010). doi: 10.1080/13873951003676518CrossRefGoogle Scholar
Liu, Z. H., Tang, X. I. and Wang, L., “Research on the dynamic coupling of the rigid-flexible manipulator,” Rob. Comput. Integr. Manuf. 32, 72–82 (2015). doi: 10.1016/j.rcim.2014.10.001CrossRefGoogle Scholar
Santos, J. C., Chemori, A. and Gouttefarde, M., “Model Predictive Control of Large-Dimension Cable-Driven Parallel Robots,” >In:International Conference on Cable-Driven Parallel Robots (Springer, Cham, 2019) pp. 221–232.CrossRefGoogle Scholar
Hwang, S., Bak, J., Yoon, J. and Park, J., “Oscillation reduction and frequency analysis of under-constrained cable-driven parallel robot with three cables,” Robotica, 1–21 (2019). doi: 10.1017/S0263574719000687CrossRefGoogle Scholar
Diao, X. and Ma, O., “Vibration analysis of cable-driven parallel manipulators,” Multibody Sys. Dyn . 21(4), 347–360 (2009). doi: 10.1007/s11044-008-9144-0CrossRefGoogle Scholar
Shiang, W. J., Cannon, D. and Gorman, J., “Dynamic Analysis of the Cable Array Robotic Crane,” IEEE International Conference Robotics and Automation, Detroit, MI, USA, vol. 4 (1999) pp. 2495–2500. doi: 10.1109/ROBOT.1999.773972Google Scholar
Zhang, Y., Agrawal, S. K. and Piovoso, M. J., “Coupled Dynamics of Flexible Cables and Rigid End-Effector for a Cable Suspended Robot,” American Control Conference, Minneapolis, MN, USA (2006) pp. 3880–3885. doi: 10.1109/ACC.2006.1657324CrossRefGoogle Scholar
Laroche, E., Chellal, R., Cuvillon, L. and Gangloff, J., “A preliminary study for H-inf control of parallel cable-driven manipulators,” Cable-Driven Parallel Robots, Mech. Mach. Sci . 12, 353–369 (2013). doi: 10.1007/978-3-642-31988-4_22Google Scholar
Khosravi, M. A. and Taghirad, H. D., “Dynamic analysis and control of cable driven robots with elastic cables,” Trans. Can. Soc. for Mech. Eng. 35(4), 543–558 (2011).CrossRefGoogle Scholar
Korayem, M. H., Tourajizadeh, H., Taherifar, M. and Korayem, A. H., “Optimal feedback linearization control of a flexible cable robot,” Lat. Am. Appl. Res. 44(3), 259–265 (2014).Google Scholar
Korayem, M. H., Taherifar, M. and Tourajizadeh, H., “Compensating the flexibility uncertainties of a cable suspended robot using SMC approach,” Robotica 33(3), 578–598 (2015). doi: 10.1017/S0263574714000472.CrossRefGoogle Scholar
Bostelman, R., Albus, J., Dagalakis, N., Jacoff, A. and Gross, J., “Applications of the NIST RoboCrane,” Proceedings 5th International Symposium on Robotics and Manufacturing, Maui, Hawaii (1994) pp. 14–18.Google Scholar
Oh, S. R., Ryu, J. C. and Agrawal, S. K., “Dynamics and control of a helicopter carrying a payload using a cable-suspended robot,” J. Mech. Des. 125(5), 1113–1121 (2006). doi: 10.1115/1.2218882CrossRefGoogle Scholar
Oh, S. R., Mankala, K. K., Agrawal, S. K. and Albus, J. S., “Dynamic modeling and robust controller design of a two-stage parallel cable robot,” Multibody Sys. Dyn . 13(4), 385–399 (2005). doi: 10.1007/s11044-005-2517-8CrossRefGoogle Scholar
Yamamoto, Y. and Yun, X., “Coordinating Locomotion and Manipulation of a Mobile Manipulator,” Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, AZ, USA (1992) pp. 2643–2648.Google Scholar
Kokotovic, P., Khalil, H. K. and O’Reilly, J., Singular Perturbation Methods in Control: Analysis and Design, vol. 25 (Siam Academic Press, London, 1999).CrossRefGoogle Scholar
Fahham, H. R., Farid, M. and Khooran, M., “Time optimal trajectory tracking of redundant planar cable-suspended robots considering both tension and velocity constraints,” ASME J. Dyn. Syst.-T 133(1), 011004 (2011). doi: 10.1016/j.finel.2010.10.005CrossRefGoogle Scholar
Barnett, E. and Gosselin, C., “Time-optimal trajectory planning of cable-driven parallel mechanisms for fully specified paths with G1-discontinuities,” ASME J. Dyn. Syst-T 137(7), 071007 (2015). doi: 10.1115/1.4029769CrossRefGoogle Scholar
Thai, H. T. and Kim, S. E., “Nonlinear static and dynamic analysis of cable structures,” Finite Elem. Anal. Des. 47(3), 237–246 (2011). doi: 10.1016/j.finel.2010.10.005CrossRefGoogle Scholar