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Original Articles

Jerk-level synchronous repetitive motion scheme with gradient-type and zeroing-type dynamics algorithms applied to dual-arm redundant robot system control

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Pages 2713-2727 | Received 01 Nov 2016, Accepted 30 Jul 2017, Published online: 10 Aug 2017

References

  • Boe, F., & Hannaford, B. (1998). On-line improvement of speed and tracking performance on repetitive paths. IEEE Transactions on Control Systems Technology, 6(3), 350–358.
  • Broquère, X., Sidobre, D., & Nguyen, K. (2010). From motion planning to trajectory control with bounded jerk for service manipulator robots. In Proceedings of the IEEE International Conference on Robotics and Automation (pp. 4505–4510). Anchorage, AK.
  • Chen, D., , & Zhang, Y., (2017). A hybrid multi-objective scheme applied to redundant robot manipulators. IEEE Transactions on Automation Science and Engineering, 14 (3), 1337–1350. doi:10.1109/TASE.2015.2474157
  • Chen, D., & Zhang, Y. (2016). Minimum jerk norm scheme applied to obstacle avoidance of redundant robot arm with jerk bounded and feedback control. IET Control Theory & Applications, 10(15), 1896–1903.
  • Colomé, A., & Torras, C. (2015). Closed-loop inverse kinematics for redundant robots: Comparative assessment and two enhancements. IEEE/ASME Transactions on Mechatronics, 20(2), 944–955.
  • Culmer, P. R., Jackson, A. E., Makower, S., Richardson, R., Cozens, J. A., Levesley, M. C., & Bhakta, B.B. (2010). A control strategy for upper limb robotic rehabilitation with a dual robot system. IEEE/ASME Transactions on Mechatronics, 15(4), 575–585.
  • Fateh, M. M., Tehrani, H. A., & Karbassi, S.M. (2013). Repetitive control of electrically driven robot manipulators. International Journal of Systems Science, 44(4), 775–785.
  • Flash, T., & Hogan, N. (1985). The coordination of arm movements: An experimentally confirmed mathematical model. The Journal of Neuroscience, 5(7), 1688–1703.
  • Gasparetto, A., & Zanotto, V. (2007). A new method for smooth trajectory planning of robot manipulators. Mechanism and Machine Theory, 42(4), 455–471.
  • Gasparetto, A., & Zanotto, V. (2008). A technique for time-jerk optimal planning of robot trajectories. Robotics and Computer-Integrated Manufacturing, 24(3), 415–426.
  • Guo, D., & Zhang, Y. (2012). A new inequality-based obstacle-avoidance MVN scheme and its application to redundant robot manipulators. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews, 42(6), 1326–1340.
  • Guo, D., & Zhang, Y. (2014a). Simulation and experimental verification of weighted velocity and acceleration minimization for robotic redundancy resolution. IEEE Transactions on Automation Science and Engineering, 11(4), 1203–1217.
  • Guo, D., & Zhang, Y. (2014b). Acceleration-level inequality-based MAN scheme for obstacle avoidance of redundant robot manipulators. IEEE Transactions on Industrial Electronics, 61(12), 6903–6914.
  • Gyorfi, J. S., & Wu, C.-H. (2006). A minimum-jerk speed-planning algorithm for coordinated planning and control of automated assembly manufacturing. IEEE Transactions on Automation Science and Engineering, 3(4), 454–462.
  • Hopfield, J. J., & Tank, D.W. (1986). Computing with neural circuits: A model. Science, 233(4764), 625–633.
  • Ismail, Z. H., & Dunnigan, M.W. (2011). Tracking control scheme for an underwater vehicle-manipulator system with single and multiple sub-regions and sub-task objectives. IET Control Theory & Applications, 5(5), 721–735.
  • Jaafar, J., & Shauri, R.L.A. (2013). Three-fingered robot hand for assembly works. In Proceedings of the IEEE International Conference on System Engineering and Technology (pp. 19–20). Shah Alam.
  • Jin, L., Li, S., La, H. M., & Luo, X., (2017). Manipulability optimization of redundant manipulators using dynamic neural networks. IEEE Transactions on Industrial Electronics, 64(6), 4710–4720. doi:10.1109/TIE.2017.2674624
  • Jin, L., & Zhang, Y. (2015). G2-type SRMPC scheme for synchronous manipulation of two redundant robot arms. IEEE Transactions on Cybernetics, 45(2), 153–164.
  • Jin, M., Zhang, Z., Ni, F., & Liu, H. (2014). Cartesian space synchronous impedance control of two 7-DOF robot arm manipulators. In Proceedings of the IEEE/RSJ International Conference on Intelligence Robotics Systems (pp. 4750–4756). Chicago, IL.
  • Kaneko, K., & Horowitz, R. (1997). Repetitive and adaptive control of robot manipulators with velocity estimation. IEEE Transactions on Robotics and Automation, 13(2), 204–217.
  • Kasac, J., Novakovic, B., Majetic, D., & Brezak, D. (2008). Passive finite-dimensional repetitive control of robot manipulators. IEEE Transactions on Control Systems Technology, 16(3), 570–576.
  • Klein, C. A., & Huang, C.H. (1983). Review of pseudoinverse control for use with kinematically redundant manipulators. IEEE Transactions on Systems, Man, and Cybernetics, 13(2), 245–250.
  • Kruse, D., Wen, J. T., & Radke, R.J. (2015). A sensor-based dual-arm tele-robotic system. IEEE Transactions on Automation Science and Engineering, 12(1), 4–18.
  • Kyriakopoulos, K. J., & Saridis, G.N. (1988). Minimum jerk path generation. In Proceedings of the IEEE International Conference on Robotics and Aautomation (pp. 364–369). Philadelphia, PA.
  • Li, S., Chen, S., Liu, B., Li, Y., & Liang, Y. (2012). Decentralized kinematic control of a class of collaborative redundant manipulators via recurrent neural networks. Neurocomputing, 91, 1–10.
  • Li, Z., Yang, C., & Tang, Y. (2013). Decentralised adaptive fuzzy control of coordinated multiple mobile manipulators interacting with non-rigid environments. IET Control Theory & Applications, 7(3), 397–410.
  • Liu, H., Lai, X., Zhu, S., & Liao, X. (2011). Jerk-bounded and -continuous trajectory planning for a 6-DOF serial robot manipulator with revolute joints. In Proceedings of the Chinese Control Conference (pp. 3462–3466). Yantai.
  • Liu, Z., Chen, C., Zhang, Y., & Chen, C.L.P. (2015). Adaptive neural control for dual-arm coordination of humanoid robot with unknown nonlinearities in output mechanism. IEEE Transactions on Cybernetics, 45(3), 521–532.
  • Macfarlane, S., & Croft, E.A. (2003). Jerk-bounded manipulator trajectory planning: Design for real-time applications. IEEE Transactions on Robotics and Automation, 19(1), 42–52.
  • Mead, C. (1989). Analog VLSI and neural systems. Reading, MA: Addison-Wesley.
  • Mohammed, A. M., & Li, S. (2015). Dynamic neural networks for kinematic redundancy resolution of parallel Stewart platforms. IEEE Transactions on Cybernetics, 17(3), 1400–1410.
  • Na, J., Chen, Q., Ren, X., & Guo, Y. (2014). Adaptive prescribed performance motion control of servo mechanisms with friction compensation. IEEE Transactions on Industrial Electronics, 61(1), 486–494.
  • Na, J., Ren, X., & Zheng, D. (2013). Adaptive control for nonlinear pure-feedback systems with high-order sliding mode observer. IEEE Transactions on Neural Networks and Learning Systems, 24(3), 128–135.
  • Patchaikani, P. K., Behera, L., & Prasad, G. (2012). A single network adaptive critic-based redundancy resolution scheme for robot manipulators. IEEE Transactions on Industrial Electronics, 59(8), 3241–3253.
  • Qiao, Y., Wu, N., & Zhou, M. (2014). Scheduling of dual-arm cluster tools with wafer revisiting and residency time constraints. IEEE Transactions on Industrial Informatics, 10(1), 286–300.
  • Seki, H., & Tadakuma, S. (2004). Minimum jerk control of power assisting robot based on human arm behavior characteristic. In Proceedings of the IEEE International Conference on Systems, Man, & Cybernetics (pp. 722–727). The Hague.
  • Shin, S. Y., & Kim, C. (2015). Human-like motion generation and control for humanoid's dual arm object manipulation. IEEE Transactions on Industrial Electronics, 62(4), 2265–2276.
  • Tan, M., & Tian, W. (2015). Finite-time stabilization and synchronization of complex dynamical networks with nonidentical nodes of different dimensions. Nonlinear Dynamics, 79(1), 731–741.
  • Tank, D. W., & Hopfield, J.J. (1986). Simple ‘neural’ optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit. IEEE transactions on circuits and systems, 33(5), 533–541.
  • Xiang, J., Zhong, C., & Wei, W. (2012). A varied weights method for the kinematic control of redundant manipulators with multiple constraints. IEEE Transactions on Robotics, 28(2), 330–340.
  • Xiao, L. (2016). A nonlinearly-activated neurodynamic model and its finite-time solution to equality-constrained quadratic optimization with nonstationary coefficients. Applied Soft Computing, 40, 252–259.
  • Xiao, L., & Lu, R. (2015). Finite-time solution to nonlinear equation using recurrent neural dynamics with a specially-constructed activation function. Neurocomputing, 151(1), 246–251.
  • Xu, W., Liang, B., & Xu, Y. (2011). Practical approaches to handle the singularities of a wrist-partitioned space manipulator. Acta Astronautica, 68(1–2), 269–300.
  • Xu, W., Liu, Y., & Xu, Y. (2012). The coordinated motion planning of a dual-arm space robot for target capturing. Robotica, 30(5), 755–771.
  • Xu, W., Yan, L., Mu, Z., & Wang, Z. (2016). Dual arm-angle parameterisation and its applications for analytical inverse kinematics of redundant manipulators. Robotica, 34(12), 2669–2688.
  • Xu, W., Zhang, J., Liang, B., & Li, B. (2016). Singularity analysis and avoidance for robot manipulators with non-spherical wrists. IEEE Transactions on Industrial Electronics, 63(1), 277–290.
  • Yang, C., Li, Z., & Li, J. (2013). Trajectory planning and optimized adaptive control for a class of wheeled inverted pendulum vehicle models. IEEE Transactions on Cybernetics, 43(1), 24–36.
  • Yang, N., Duan, F., Wei, Y., Liu, C., Tan, J. T. C, Xu, B., & Zhang, J. (2013). A study of the human-robot synchronous control system based on skeletal tracking technology. In Proceedings of the IEEE International Conference on Robotics Biomimetics (pp. 2191–2196). Shenzhen.
  • Yi, C., Chen, Y., & Lu, Z. (2011). Improved gradient-based neural networks for online solution of Lyapunov matrix equation. Information Processing Letters, 111(16), 780–786.
  • Yun, X., & Kumar, V.R. (1991). An approach to simultaneous control of trajectory and interaction forces in dual-arm configurations. IEEE Transactions on Robotics and Automation, 7(5), 618–625.
  • Zhang, B., Jia, Y., Du, J., & Zhang, J. (2014). Finite-time synchronous control for multiple manipulators with sensor saturations and a constant reference. IEEE Transactions on Control Systems Technology, 22(3), 1159–1165.
  • Zhang, Y., Chen, D., Guo, D., Liao, B., & Wang, Y. (2015). On exponential convergence of nonlinear gradient dynamics system with application to square root finding. Nonlinear Dynamics, 79(2), 983–1003.
  • Zhang, Y., & Guo, D. (2015). Zhang functions and various models. Berlin: Springer-Verlag.
  • Zhang, Y., Li, J., & Zhang, Z. (2013). A time-varying coefficient-based manipulability-maximizing scheme for motion control of redundant robots subject to varying joint-velocity limits. Optimal Control Applications and Methods, 34(2), 202–215.
  • Zhang, Y., Tan, Z., Chen, K., Yang, Z., & Lv, X. (2009). Repetitive motion of redundant robots planned by three kinds of recurrent neural networks and illustrated with a four-link planar manipulator's straight-line example. Robotics and Autonomous Systems, 57(6–7), 645–651.
  • Zhang, Y., Wu, H., Zhang, Z., Xiao, L., & Guo, D. (2013). Acceleration-level repetitive motion planning of redundant planar robots solved by a simplified LVI-based primal-dual neural network. Robotics and Computer-Integrated Manufacturing, 29(2), 328–343.
  • Zhang, Y., Xiao, L., Xiao, Z., & Mao, M. (2015). Zeroing dynamics, gradient dynamics, & newton iterations. Boca Raton, FL: CRC Press.
  • Zhang, Y., Yan, X., Chen, D., Guo, D., & Li, W. (2016). QP-based refined manipulability-maximizing scheme for coordinated motion planning and control of physically constrained wheeled mobile redundant manipulators. Nonlinear Dynamics, 85(1), 245–261.
  • Zhang, Y., Zhang, Y., Chen, D., Xiao, Z., & Yan, X. (2017). Division by zero, pseudo-division by zero, Zhang dynamics method and Zhang-gradient method about control singularity conquering. International Journal of Systems Science, 48(1), 1–12.
  • Zhang, Y., & Zhang, Z. (2013). Repetitive motion planning and control of redundant robot manipulators. New York, NY: Springer-Verlag.
  • Zhang, Z., Li, Z., Zhang, Y., Luo, Y., & Li, Y. (2015). Neural-dynamic-method-based dual-arm CMG scheme with time-varying constraints applied to humanoid robots. IEEE Transactions on Neural Networks and Learning Systems, 26(12), 3251–3262.
  • Zhang, Z., & Zhang, Y. (2012a). Repetitive motion planning and control on redundant robot manipulators with push-rod-type joints. ASME Journal of Dynamic Systems, Measurement, and Control, 135(2), 024502.
  • Zhang, Z., & Zhang, Y. (2012b). Acceleration-level cyclic-motion generation of constrained redundant robots tracking different paths. IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics, 42(4), 1257–1269.

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