Sumi Phukan, Chitralekha Mahanta. A Position Synchronization Controller for Co-ordinated Links (COOL) Dual Robot Arm Based on Integral Sliding Mode: Design and Experimental Validation. International Journal of Automation and Computing, vol. 18, no. 1, pp.110-123, 2021.
Citation: Sumi Phukan, Chitralekha Mahanta.

A Position Synchronization Controller for Co-ordinated Links (COOL) Dual Robot Arm Based on Integral Sliding Mode: Design and Experimental Validation

. International Journal of Automation and Computing, vol. 18, no. 1, pp.110-123, 2021.

A Position Synchronization Controller for Co-ordinated Links (COOL) Dual Robot Arm Based on Integral Sliding Mode: Design and Experimental Validation

doi: 10.1007/s11633-020-1242-3
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  • Author Bio:

    Sumi Phukan received the B. Eng. degree from Electrical and Electronics Engineering Department, NETES (North East Technical Education Society) Institute of Technology and Science Mirza, India in 2013. Currently, she is a Ph. D. degree candidate in Electronics and Electrical Engineering Department, Indian Institute of Technology Guwahati, India. Her research interests include sliding mode control and controller design for robotic manipulators. E-mail: (Corresponding author) ORCID iD: 0000-0003-4990-5356

    Chitralekha Mahanta received the Ph. D. degree in control from Indian Institute of Technology (IIT) Delhi, India in 2000. She joined as an assistant professor in Department of Electronics and Communication Engineering (ECE), IIT Guwahati, India in 2000. Since then, she has been involved in active research in the area of control theory and its applications. She has offered a variety of courses in undergraduate and post graduate studies in the field of control systems at IIT Guwahati, India. She has been a full time professor in Department of Electronics and Electrical Engineering (EEE), IIT Guwahati since April 2012, starting her research at IIT Guwahati, India in the field of intelligent control. Currently, she is involved in the areas of robust and adaptive control with applications in robotics and flight control. She is a senior member of IEEE and a fellow of the Institution of Electronics and Telecommunication Engineers (IETE). Her research interests include control of nonlinear uncertain systems, sliding mode control of underactuated systems specific to humanoid robot arm, actuator failure tolerant control design for nonlinear systems with application in aircraft control. E-mail:

  • Received Date: 2020-03-11
  • Accepted Date: 2020-06-16
  • Publish Online: 2020-10-21
  • Publish Date: 2021-02-18
  • In this study, a simple position synchronization control algorithm based on an integral sliding mode is developed for dual-arm robotic manipulator systems. A first-order sliding surface is designed using cross-coupling error in order to ensure position synchronization of dual-arm manipulators. The design objective of the proposed controller is to ensure stability as well as to synchronize the movement of both arms while maintaining the trajectory as desired. The integral sliding mode eliminates the reaching phase and guarantees robustness throughout the whole operating period. Additionally, a low pass filter is used to smoothen the discontinuous element and minimize unwanted chattering. Lyapunov stability theory is utilized to prove the asymptotic stability of the controlled system. Simulation studies are performed to validate the proposed controller′s effectiveness. Also, to investigate the possibility of realizing the proposed dynamic control method in practical applications, experiments are conducted on a 14DoF coordinated links (COOL) dual-arm robotic manipulator system. Experimental evidence indicates adequate efficiency in trajectory tracking and guarantees robustness in the presence of parametric uncertainty and external disturbance.


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  • [1]
    R. Saravanan, S. Ramabalan, C. Balamurugan, A. Subash. Evolutionary trajectory planning for an industrial robot. International Journal of Automation and Computing, vol. 7, no. 2, pp. 190–198, 2010. DOI: 10.1007/s11633-010-0190-8.
    L. Xie, Z. L. Wang, W. Wang, G. C. Yu. Emotional gait generation for a humanoid robot. International Journal of Automation and Computing, vol. 7, no. 1, pp. 64–69, 2010. DOI: 10.1007/s11633-010-0064-0.
    T. M. Wang, Y. Tao, H. Liu. Current researches and future development trend of intelligent robot: A review. International Journal of Automation and Computing, vol. 15, no. 5, pp. 525–546, 2018. DOI: 10.1007/s11633-018-1115-1.
    A. Kumar, A. Ojha. Experimental evaluation of certain pursuit and evasion schemes for wheeled mobile robots. International Journal of Automation and Computing, vol. 16, no. 4, pp. 491–510, 2019. DOI: 10.1007/s11633-018-1151-x.
    G. Beni. The concept of cellular robotic system. In Proceedings of IEEE International Symposium on Intelligent Control, IEEE, Arlington, USA, pp. 57–62, 1988. DOI: 10.1109/ISIC.1988.65405.
    W. Hong, Y. Wang, X. Q. Mu, Y. Wu. A cooperative fuzzy control method for traffic lights. In Proceedings of IEEE Intelligent Transportation Systems, IEEE, Oakland, USA, pp. 185–188, 2001. DOI: 10.1109/ITSC.2001.948653.
    S. Liu, D. Sun, C. Zhu. Coordinated motion planning for multiple mobile robots along designed paths with formation requirement. IEEE/ASME Transactions on Mechatronics, vol. 16, no. 6, pp. 1021–1031, 2011. DOI: 10.1109/TMECH.2010.2070843.
    P. Cheng, J. Fink, V. Kumar, J. S. Pang. Cooperative towing with multiple robots. Journal of Mechanisms and Robotics, vol. 1, no. 1, Article number 011008, 2009. DOI: 10.1115/1.2960539.
    D. Sun. Position synchronization of multiple motion axes with adaptive coupling control. Automatica, vol. 39, no. 6, pp. 997–1005, 2003. DOI: 10.1016/S0005-1098(03)00037-2.
    H. Nijmeijer, A. Rodriguez-Angeles. Synchronization of Mechanical Systems, Singapore: World Scientific, 2003. DOI: 10.1142/5391.
    D. Zhao, S. Li, F. Gao, Q. Zhu. Robust adaptive terminal sliding mode-based synchronised position control for multiple motion axes systems. IET Control Theory &Applications, vol. 3, no. 1, pp. 136–150, 2009. DOI: 10.1049/iet-cta:20070272.
    D. Sun. Synchronization and Control of Multiagent Systems, London, UK: Taylor & Francis, 2010.
    D. Sun, J. K. Mills. Adaptive synchronized control for coordination of multirobot assembly tasks. IEEE Transactions on Robotics and Automation, vol. 18, no. 4, pp. 498–510, 2002. DOI: 10.1109/TRA.2002.802229.
    A. Rodriguez-Angeles, H. Nijmeijer. Mutual synchronization of robots via estimated state feedback: A cooperative approach. IEEE Transactions on Control Systems Technology, vol. 12, no. 4, pp. 542–554, 2004. DOI: 10.1109/TCST.2004.825065.
    W. H. Zhu. On adaptive synchronization control of coordinated multirobots with flexible/rigid constraints. IEEE Transactions on Robotics, vol. 21, no. 3, pp. 520–525, 2005. DOI: 10.1109/TRO.2004.839219.
    G. L. Sun, X. Li, P. Li, Y. Meng, Y. Zhou, E. Z. Xu, Y. H. Liu. A synchronization scheme for position control of multiple rope-climbing robots. In Proceedings of IEEE International Conference on Robotics and Automation, IEEE, Brisbane, Australia, pp. 736–3741, 2018. DOI: 10.1109/ICRA.2018.8460484.
    W. W. Shang, B. Y. Zhang, B. Zhang, F. Zhang, S. Cong. Synchronization control in the cable space for cable-driven parallel robots. IEEE Transactions on Industrial Electronics, vol. 66, no. 6, pp. 4544–4554, 2019. DOI: 10.1109/TIE.2018.2864512.
    C. Edwards, S. K. Spurgeon. Sliding Mode Control: Theory and Applications, Boca Raton, USA: CRC Press, 1998.
    V. Utkin, J. Guldner, J. X. Shi. Sliding Mode Control in Electromechanical Systems. London, UK: Taylor & Francis, 1999.
    D. Zhao, C. Li, Q. Zhu. Low-pass-filter-based position synchronization sliding mode control for multiple robotic manipulator systems. In Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 225, no. 8, pp. 1136–1148, 2011. DOI: 10.1177/0959651811401303.
    L. B. Li, L. L. Sun, S. Z. Zhang. Mean deviation coupling synchronous control for multiple motors via second-order adaptive sliding mode control. ISA Transactions, vol. 62, pp. 222–235, 2016. DOI: 10.1016/j.isatra.2016.01.015.
    M. L. Wang, X. M. Ren, Q. Chen. Robust tracking and distributed synchronization control of a multi-motor servomechanism with H-infinity performance. ISA Transactions, vol. 72, pp. 147–160, 2018. DOI: 10.1016/j.isatra.2017.09.018.
    M. Fathallah, F. Abdelhedi, N. Derbel. Synchronization of multi-robot manipulators based on high order sliding mode control. In Proceedings of International Conference on Smart, Monitored and Controlled Cities, IEEE, Sfax, Tunisia, pp. 138–142, 2017. DOI: 10.1109/SM2C.2017.8071835.
    Y. C. Liu, N. Chopra. Controlled synchronization of heterogeneous robotic manipulators in the task space. IEEE Transactions on Robotics, vol. 28, no. 1, pp. 268–275, 2012. DOI: 10.1109/TRO.2011.2168690.
    H. L. Wang. Passivity based synchronization for networked robotic systems with uncertain kinematics and dynamics. Automatica, vol. 49, no. 3, pp. 755–761, 2013. DOI: 10.1016/j.automatica.2012.11.003.
    D. Y. Zhao, S. Y. Li, Q. M. Zhu. Adaptive synchronised tracking control for multiple robotic manipulators with uncertain kinematics and dynamics. International Journal of Systems Science, vol. 47, no. 4, pp. 791–804, 2016. DOI: 10.1080/00207721.2014.906681.
    Q. Khan, A. I. Bhatti, S. Iqbal, M. Iqbal. Dynamic integral sliding mode for MIMO uncertain nonlinear systems. International Journal of Control,Automation and Systems, vol. 9, no. 1, pp. 151–160, 2011. DOI: 10.1007/s12555-011-0120-8.
    V. Utkin, J. X. Shi. Integral sliding mode in systems operating under uncertainty conditions. In Proceedings of the 35th IEEE Conference on Decision and Control, IEEE, Kobe, Japan, vol. 4, pp. 4591–4596, 1996. DOI: 10.1109/CDC.1996.577594.
    W. M. Bessa. Some remarks on the boundedness and convergence properties of smooth sliding mode controllers. International Journal of Automation and Computing, vol. 6, no. 2, pp. 154–158, 2009. DOI: 10.1007/s11633-009-0154-z.
    I. M. Boiko. Chattering in sliding mode control systems with boundary layer approximation of discontinuous control. International Journal of Systems Science, vol. 44, no. 6, pp. 1126–1133, 2013. DOI: 10.1080/00207721.2011.652233.
    P. V. Suryawanshi, P. D. Shendge, S. B. Phadke. A boundary layer sliding mode control design for chatter reduction using uncertainty and disturbance estimator. International Journal of Dynamics and Control, vol. 4, no. 4, pp. 456–465, 2016. DOI: 10.1007/s40435-015-0150-9.
    S. Mahjoub, F. Mnif, N. Derbel. Second-order sliding mode approaches for the control of a class of underactuated systems. International Journal of Automation and Computing, vol. 12, no. 2, pp. 134–141, 2015. DOI: 10.1007/s11633-015-0880-3.
    S. Mondal, J. Ghommam, M. Saad. An adaptive full order sliding mode controller for mismatched uncertain systems. International Journal of Automation and Computing, vol. 14, no. 2, pp. 191–201, 2017. DOI: 10.1007/s11633-017-1057-z.
    J. J. E. Slotine, W. P. Li. Applied Nonlinear Control, New Jersey, USA: Prentice Hall, 1991.
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