Abstract
This paper addresses the task-space robust trajectory tracking control problem for robot manipulators in the presence of uncertainties and external disturbances. First, a discontinuous sliding-mode controller-based inverse dynamics control strategy (IDSMC) with discontinuous robust control action is synthesized. Second, an adaptive inverse dynamics controller based on continuous sliding-mode control (AIDCSMC) is designed, in which the adaptation laws are addressed to compensate for the unknown parameters of the dynamical model of robot manipulators. The global stability of the closed-loop control system is proven using the Lyapunov theorem and the proposed AIDCSMC controller is further proven to guarantee convergence to zero of both trajectory tracking error and error rate. Finally, a hybrid intelligent neuro-fuzzy adaptive fuzzy inference system (ANFIS)-based adaptive inverse dynamics controller with continuous sliding-mode control (ANFIS-AIDCSMC) is adopted. Numerical simulations using the dynamic model of rigid robot manipulators with uncertainties show the effectiveness of the presented approach in simple and complex trajectory tracking problems. The simulation results indicate that the control performance of the robot system is satisfactory, and the proposed approach can achieve favorable tracking performance and it is robust with regard to uncertainties.
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References
Alavandar, S., Nigam, M.J.: Comparative analysis of conventional and soft computing based control strategies for robot manipulators with uncertainties. Int. J. Comput. Cogn. 7(1), 52–61 (2009)
Barambones, O., Etxebarria, V.: Robust adaptive control for robot manipulator with un-modeled dynamics. Int. J. Cybern. Syst. 31(1), 67–86 (2000)
Barambones, O., Etxebarria, V.: Robust neural control of robot manipulators. Automatica 38(2), 235–242 (2002)
Capisani, L., Ferrara, A., Magnani, L.: Second order sliding mode motion control of rigid robot manipulators. In: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, pp. 12–14 (2007)
Cheah, C., Kawamura, S., Arimoto, S.: Stability of hybrid position and force control for robotic manipulator with kinematics and dynamics uncertainties. Automatica 39(5), 847–855 (2003)
Cheah, C., Liu, C., Slotine, J.: Approximate Jacobian adaptive control for robot manipulators. In: Proceedings of the IEEE International Conference on Robotics and Automation, New Orleans, LA, pp. 3075–3080 (2004)
Cheah, C., Liaw, H.: Inverse Jacobian regulator with gravity compensation: stability and experiment. IEEE Trans. Robot. 21(4), 741–747 (2005)
Cheah, C., Hirano, M., Kawamura, S., Arimoto, S.: Approximate Jacobian control for robots with uncertain kinematics and dynamics. IEEE Trans. Robot. Autom. 19(4), 692–702 (2003)
Cheng, L., Hou, Z., Tan, M.: Adaptive neural network tracking control for manipulators with uncertain kinematics, dynamics and actuator model. Automatica 45(10), 2312–2318 (2009)
Edwards, C., Spurgeon, S.: Sliding Mode Control: Theory and Applications, 1st edn. Taylor & Francis, London (1998)
Hacioglu, Y., Arslan, Y., Yazig, N.: MIMO fuzzy sliding mode controlled dual arm robot in load transportation. J. Franklin Inst. 348(8), 1886–1902 (2011)
Ho, H., Wong, Y., Rad, A.: Robust fuzzy tracking control for robotic manipulators. Simul. Model. Pract. Theory 15(7), 801–816 (2007)
Kara, S., Dasb, S., Ghosh, P.: Applications of neuro fuzzy systems: a brief review and future outline. Appl. Soft Comput. 15(20), 243–259 (2014)
Lian, R.: Enhanced adaptive grey-prediction self-organizing fuzzy sliding-mode controller for robotic systems. Inf. Sci. 236(14), 186–204 (2013)
Liu, H., Zhang, T.: Adaptive neural network finite-time control for uncertain robotic manipulators. J. Intell. Robot. Syst. 134(6), 1–15 (2012)
Liu, H., Zhang, T.: Fuzzy sliding mode control of robotic manipulators with kinematic and dynamic uncertainties. J. Dyn. Syst. Meas. Control 134(6), 061007 (2012)
Luca, M., Antonella, F., Lorenza, M.: Second order sliding mode motion control of rigid robot manipulators. In: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, December 12–14, 2007, pp. 3883–3888 (2007).
Melin, P., Castillo, O.: Intelligent control of a stepping motor drive using an adaptive neuro-fuzzy inference system. Inf. Sci. 170(8), 133–150 (2005)
Moreno-Valenzuela, J., Gonzlez-Hernndez, L.: Operational space trajectory tracking control of robot manipulators endowed with a primary controller of synthetic joint velocity. ISA Trans. 50(1), 131–140 (2010)
Siciliano, B., Sciavicco, L., Khatib, O.: Springer Handbook of Robotics. Springer, Berlin/Heidelberg (2008)
Siciliano, B., Sciavicco, L., Villani, L., Oriolo, G.: Robotics Modelling, Planning and Control. Springer, London (2009)
Sun, T., Pei, H., Pan, Y., Zhou, H., Zhang, C.: Neural network-based sliding mode adaptive control for robot manipulators. Neurocomputing 74(14), 2377–2384 (2011)
Torres, S., Méndez, J., Acosta, L., Becerra, V.: On improving the performance in robust controllers for robot manipulators with parametric disturbances. Control Eng. Pract. 15(5), 557–566 (2007)
Utkin, V., Guldner, J., Shi, J.: Sliding Mode Control in Electro-Mechanical Systems, 2nd edn. CRC press/Taylor & Francis, Boca Raton/London (2017)
Wang, W., Xie, Y.: Adaptive inverse dynamics control of robots with uncertain kinematics and dynamics. Automatica 45(9), 2114–2119 (2009)
Yazarel, Y., Cheah, C.: Task-space adaptive control of robotic manipulators with uncertainties in gravity regressor matrix and kinematics. IEEE Trans. Autom. Control 47(9), 1580–1585 (2002)
Yuzheng, G., Peng-Yung, W.: An adaptive fuzzy sliding mode controller for robotic manipulators. IEEE Trans. Syst. Man Cybern., Part A, Syst. Hum. 33(2), 149–159 (2003)
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Currently, Wael M. Elawady is lecturer in the Higher Institute of Engineering and Technology in Kafr Elsheikh (HIET)
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Asar, M.F., Elawady, W.M. & Sarhan, A.M. ANFIS-based an adaptive continuous sliding-mode controller for robot manipulators in operational space. Multibody Syst Dyn 47, 95–115 (2019). https://doi.org/10.1007/s11044-019-09681-5
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DOI: https://doi.org/10.1007/s11044-019-09681-5