Dynamic Load Carrying Capacity of Mobile-Base Flexible-Link Manipulators: Feedback Linearization Control Approach

Document Type: Original Article


Iran University of Science and Technology


This paper focuses on the effects of closed- control on the calculation of the dynamic load carrying capacity (DLCC) for mobile-base flexible-link manipulators. In previously proposed methods in the literature of DLCC calculation in flexible robots, an open-loop control scheme is assumed, whereas in reality, robot control is achieved via closed loop approaches which could render the calculated DLCC value inaccurate. The aim of this research is to investigate the necessity of considering the effect of closed loop control in the calculation of the DLCC of mobile-based flexible link manipulators. Finite elements modeling and the Lagrange method have been used for modeling a mobile-base manipulator with two flexible links link. After that, a control scheme based on the feedback linearization method has been devised. A method for calculating the DLCC from a previously published study has then been utilized, with the difference that closed-loop motion control has been assumed as opposed to open-loop control. Finally, three simulation case studies have been presented for which the results have been compared with those reported in a previously published study which ignores the closed-loop control effects. The comparisons show that the effect of closed-loop control on the DLCC needs to be taken into account.


Thomas M, Yuan-Chou HC, Tesar D., “Optimal Actuator Sizing for Robotic Manipulators Based on Local Dynamic Criteria” J. of Mechanisms Transmission Automation in Design, Vol.107, 1985, pp. 163– 169.

Wang LT, Ravani B (1988) “Dynamic load carrying capacity of mechanical manipulators”, Part I, problem formulation. J Dyn Syst Meas Control 110:46–52.

Korayem M. H., Basu A. “Formulation and Numerical Solution of Elastic Robot Dynamic Motion with Maximum Load Carrying Capacity” Robotica, Vol.12, 1994, pp. 253– 261.

M. H. Korayem, A. Basu, “Mathematical Modeling and Simulation of Differentially Wheeled Mobile Robots Dynamic Equations,” Int. Journal of Applied Science and Computations, Vol. 10, 2003, PP. 30-37.

M. H. Korayem, A. Basu, “Dynamic load carrying capacity of robotic manipulators with joint elasticity imposing accuracy constraints”, Robotics and Autonomous Systems 13 (1994) 219-229.

Yue S., Tso S. K., Xu W. L., “Maximum Dynamic Payload Trajectory for Flexible Robot Manipulators with Kinematic Redundancy” Mechanism and Machine theory, Vol. 36, 2001, PP. 785-800.

Korayem M. H., Ghariblu H., “Maximum Allowable Load on Wheeled Mobile Manipulators Imposing Redundancy Constraints” J. of Robotic and Autonomous Systems, Vol.44, No.2, 2003, PP. 151–159.

M. H. Korayem, F. Davarpanah, H.Ghariblu, “Load carrying Capacity of Flexible-Joint Manipulators with Feedback Linearization”, International Journal of Advanced Manufacturing Technology, Vol. 29, No. 3 and 4, 2006.

M. H. Korayem, A. Heidari, A. Nikoobin, “Maximum Dynamic Allowable Load of Flexible Mobile Manipulators Using Finite Element Approach”, International Journal of Advanced Manufacturing Technology, Vol. 36, No.5-6, 2008, PP. 606-617.

Swee P. Goh, Andrew R. Plummer and Michael D. Brown,” Digital Control of a Flexible Manipulator”, Proceedings of the American Control Conference, Chicago, Illinois, June 2000.

Kuldip S. Rattan and vincente Feliu, “Feedforward Control of Flexible Manipulators”, Proceedings of the 1992 IEEE, International Conference On Robotics and Automation, Nice, France-May 1992.

H. Geniele, R. V. Patel, Fellow, IEEE, and K. Khorasani, “End-point Control of a Flexible – link manipulator: theory and Experiments”, IEEE Transactions on Control Systems Technology, Vol. 5, No. 6, November 1997.

Alessandro De Luca, Stefano Panzieri, Giovanni Ulivi, “Stable Inversion Control for Flexible Link Manipulators”, Proceedings of the IEEE, International Conference on Robotics and Automation, Leuven, Belgium, May 1998.

Xu Bo, Kenji Fujimoto, Yoshikazu Hayakawa, “Control of Two Link Flexible Manipulators via Generalized Canonical Transformation”, Proceedings of the 2004 IEEE, International Conference on Robotics , Automation and Mechatronics, Singapore,1-3 December, 2004.

Yuchen Zhou, “Tracking Control of Multiple Flexible Link Robots”, Proceedings of the 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems, Yokohama, Japan July 26-30, 1993.

Liu Yan, Gao Yanmei, Wang Dalong, Lu Youfang, Liu Yu, “Variable Structure Controller Design of a Two-Link RigidFlexible Robotic Manipulator”, 1997 IEEE International Conference on Intelligent Processing Systems, October 28-31, Beijing, China.

A. A. Loukianov, Y.Q. Dai, M. Uchiama, “Trajectory Tracking of Spatial Flexible Link Manipulators Using Inverse Kinematics Solution and Vibration Suppression”, ICAR ’97, Monterey, CA, July 7-9, 1997.

Rong-Jong Wai, Member, IEEE, and MengChang Lee, “Intelligent Optimal Control of Single-Link Flexible Robot Arm”, IEEE Transactions of Industrial Electronics, Vol. 51, No, 1, February 2004.

D. A. Fresonke, E. Hernandez and D. Tesar, “Deflection prediction for serial manipulators”, Proc. IEEE Int. Conf. Robotics and Automation (1988) 482-487.

Alessandro De Luca, Bruno Siciliano, “Inversion-Based Nonlinear Control of Robot Arms with Flexible Links”, AIAA J. of Guidance, Control, and Dynamics, vol. 16, pp. 1169--1176, 1993.

Jean-Jacques E. Slotine, Weiping Li, “Applied Nonlinear Control”, Prentice Hall, 1991.

Wang Dalong, Lu Youfang, Liu Yan,* Li Xiaoguang, “Dynamic Model and Tip Trajectory Tracking Control for a Two-Link Flexible Robotic Manipulator”, IEEE International Conference on Systems, Man, and Cybernetics, 1996.

Arisoy, A.; Gokasan, M.; Bogosyan, O, “Partial Feedback Linearization Control of a Single Flexible Link Robot Manipulator”, proceedings of 2nd International Conference on Recent Advances in Space Technologies, 2005. RAST 2005.