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Stable assist-as-needed controller design for a planar cable-driven robotic system

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Abstract

Robot-assisted rehabilitation systems have shown promising advantages over traditional therapist-based methods. The type of the controller has an important role in the efficiency of such systems. In this regard, this paper presents a new assist-as-needed (AAN) controller for 4-cable planar robots. The main purpose is to design a bounded-input AAN controller with an adjustable assistance level and a guaranteed closed-loop stability. The proposed controller involves the advantages of both the model-based and non-model-based AAN controllers, and in this way can increase the efficiency of rehabilitation. The controller aims to follow a desired trajectory by allowing an adjustable tracking error, which enables the human subject to freely move the target limb inside this error area. This feature of the controller gives an important advantage over the existing model-based controllers. The controller also compensates for the dynamic modeling uncertainties of the system through an adaptive neural network. The adaptive term includes a forgetting factor to adjust the assistance level of neural network term. The stability of the closed-loop system is analysed, and the uniformly ultimately bounded stability is proven. The effectiveness of the proposed control scheme is validated through simulations conducted for gait rehabilitation.

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References

  1. C. Bütefisch, H. Hummelsheim, P. Denzler, and K.–H. Mauritz, “Repetitive training of isolated movements improves the outcome of motor rehabilitation of the centrally paretic hand,” Journal of the Neurological Sciences, vol. 130, no. 1, pp. 59–68, 1995. [click]

    Article  Google Scholar 

  2. R. Riener, T. Nef, and G. Colombo, “Robot–aided neurorehabilitation of the upper extremities,” Medical and Biological Engineering and Computing, vol. 43, no. 1, pp. 2–10, 2005.[click]

    Article  Google Scholar 

  3. L. Marchal-Crespo and D. J. Reinkensmeyer, “Review of control strategies for robotic movement training after neurologic injury,” Journal of Neuroengineering and Rehabilitation, vol. 6, no. 1, 2009.

    Google Scholar 

  4. Y. Mao and S. K. Agrawal, “Design of a cable–driven arm exoskeleton (carex) for neural rehabilitation,” IEEE Transactions on Robotics, vol. 28, no. 4, pp. 922–931, 2012. [click]

    Article  Google Scholar 

  5. S. K. Banala, S. K. Agrawal, and J. P. Scholz, “Active leg exoskeleton (alex) for gait rehabilitation of motor–impaired patients,” Proc. of IEEE 10th International Conference on Rehabilitation Robotics, pp. 401–407, 2007. [click]

    Google Scholar 

  6. G. Colombo, M. Joerg, R. Schreier, and V. Dietz, “Treadmill training of paraplegic patients using a robotic orthosis,” Journal of Rehabilitation Research and Development, vol. 37, no. 6, p. 693, 2000.

    Google Scholar 

  7. R. Riener, L. Lunenburger, S. Jezernik, M. Anderschitz, G. Colombo, and V. Dietz, “Patient–cooperative strategies for robot–aided treadmill training: first experimental results,” IEEE Transactions on Neural Systems and Rehabilitation Engineering, vol. 13, no. 3, pp. 380–394, 2005. [click]

    Article  Google Scholar 

  8. E. T. Wolbrecht, J. Leavitt, D. J. Reinkensmeyer, and J. E. Bobrow, “Control of a pneumatic orthosis for upper extremity stroke rehabilitation,” Proc. of 28th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2006, pp. 2687–2693.

    Google Scholar 

  9. N. Hogan, H. I. Krebs, B. Rohrer, J. J. Palazzolo et al., “Motions or muscles? some behavioral factors underlying robotic assistance of motor recovery,” Journal of rehabilitation research and development, vol. 43, no. 5, pp. 605–618, 2006. [click]

    Article  Google Scholar 

  10. J. L. Emken, J. E. Bobrow, and D. J. Reinkensmeyer, “Robotic movement training as an optimization problem: designing a controller that assists only as needed,” in 9th International Conference on Rehabilitation Robotics, pp. 307–312.

  11. D. J. Reinkensmeyer, D. Aoyagi, J. L. Emken, J. A. Galvez et al., “Tools for understanding and optimizing robotic gait training,” Journal of Rehabilitation Research and Development, vol. 43, no. 5, p. 657, 2006. [click]

    Article  Google Scholar 

  12. L. L. Cai, A. J. Fong, C. K. Otoshi, Y. Liang, J.W. Burdick, R. R. Roy, and V. R. Edgerton, “Implications of assist–asneeded robotic step training after a complete spinal cord injury on intrinsic strategies of motor learning,” The Journal of Neuroscience, vol. 26, no. 41, pp. 10 564–10 568, 2006.

    Article  Google Scholar 

  13. S. Srivastava, P.–C. Kao, S. H. Kim, P. Stegall, D. Zanotto, J. S. Higginson, S. K. Agrawal, and J. P. Scholz, “Assistas–needed robot–aided gait training improves walking function in individuals following stroke,” IEEE Transactions on Neural Systems and Rehabilitation Engineering, vol. 23, no. 6, pp. 956–963, 2015. [click]

    Article  Google Scholar 

  14. A. Duschau–Wicke, J. von Zitzewitz, A. Caprez, L. Lunenburger, and R. Riener, “Path control: a method for patientcooperative robot–aided gait rehabilitation,” IEEE Transactions on Neural Systems and Rehabilitation Engineering, vol. 18, no. 1, pp. 38–48, 2010. [click]

    Article  Google Scholar 

  15. E. T. Wolbrecht, V. Chan, D. J. Reinkensmeyer, and J. E. Bobrow, “Optimizing compliant, model–based robotic assistance to promote neurorehabilitation,” IEEE Transactions on Neural Systems and Rehabilitation Engineering, vol. 16, no. 3, pp. 286–297, 2008. [click]

    Article  Google Scholar 

  16. A. U. Pehlivan, F. Sergi, and M. K. O’Malley, “A subject–adaptive controller for wrist robotic rehabilitation,” IEEE/ASME Transactions on Mechatronics, vol. 20, no. 3, pp. 1338–1350, 2015. [click]

    Article  Google Scholar 

  17. S. Fang, D. Franitza, M. Torlo, F. Bekes, and M. Hiller, “Motion control of a tendon–based parallel manipulator using optimal tension distribution,” IEEE/ASME Transactions on Mechatronics, vol. 9, no. 3, pp. 561–568, 2004. [click]

    Article  Google Scholar 

  18. S. Kawamura, H. Kino, and C. Won, “High–speed manipulation by using parallel wire–driven robots,” Robotica, vol. 18, no. 01, pp. 13–21, 2000. [click]

    Article  Google Scholar 

  19. G. Abbasnejad, J. Yoon, and H. Lee, “Optimum kinematic design of a planar cable–driven parallel robot with wrenchclosure gait trajectory,” Mechanism and Machine Theory, vol. 99, pp. 1–18, 2016. [click]

    Article  Google Scholar 

  20. K. Homma, O. Fukuda, J. Sugawara, Y. Nagata, and M. Usuba, “A wire–driven leg rehabilitation system: development of a 4–dof experimental system,” Proc. of IEEE/ASME International Conference on Advanced Intelligent Mechatronics, vol. 2, pp. 908–913, 2003. [click]

    Google Scholar 

  21. M. Wu, T. G. Hornby, J. M. Landry, H. Roth, and B. D. Schmit, “A cable–driven locomotor training system for restoration of gait in human sci,” Gait & posture, vol. 33, no. 2, pp. 256–260, 2011. [click]

    Article  Google Scholar 

  22. X. Jin, X. Cui, and S. K. Agrawal, “Design of a cabledriven active leg exoskeleton (c–alex) and gait training experiments with human subjects,” Proc. of IEEE International Conference on Robotics and Automation, pp. 5578–5583, 2015.

    Google Scholar 

  23. J. Yang, H. Su, Z. Li, D. Ao, and R. Song, “Adaptive control with a fuzzy tuner for cable–based rehabilitation robot,” International Journal of Control, Automation and Systems, vol. 14, no. 3, pp. 865–875, 2016. [click]

    Article  Google Scholar 

  24. P. Bosscher, A. T. Riechel, and I. Ebert–Uphoff, “Wrenchfeasible workspace generation for cable–driven robots,” IEEE Transactions on Robotics, vol. 22, pp. 890–902, 2006. [click]

    Article  Google Scholar 

  25. M. Gouttefarde and C. M. Gosselin, “Analysis of the wrench–closure workspace of planar parallel cable–driven mechanisms,” IEEE Transactions on Robotics, vol. 22, no. 3, pp. 434–445, 2006. [click]

    Article  Google Scholar 

  26. R. L. Williams, P. Gallina, and J. Vadia, “Planar translational cable–direct–driven robots,” Journal of Robotic Systems, vol. 20, no. 3, pp. 107–120, 2003. [click]

    Article  MATH  Google Scholar 

  27. M. A. Khosravi and H. D. Taghirad, “Robust PID control of fully–constrained cable driven parallel robots,” Mechatronics, vol. 24, no. 2, pp. 87–97, 2014.

    Article  Google Scholar 

  28. J. Seok, W. Yoo, and S. Won, “Inertia–related coupling torque compensator for disturbance observer based position control of robotic manipulators,” International Journal of Control, Automation and Systems, vol. 10, no. 4, pp. 753–760, 2012. [click]

    Article  Google Scholar 

  29. X.–Y. Wen, L. Guo, and P. Yan, “Composite hierarchical anti–disturbance control for robotic systems with multiple disturbances,” International Journal of Control, Automation and Systems, vol. 12, no. 3, pp. 541–551, 2014. [click]

    Article  Google Scholar 

  30. H. Medellin, J. Corney, J. Ritchie, and T. Lim, “Automatic generation of robot and manual assembly plans using octrees,” Assembly Automation, vol. 30, no. 2, pp. 173–183, 2010.

    Article  Google Scholar 

  31. S.–I. Han and J.–M. Lee, “Adaptive fuzzy backstepping dynamic surface control for output–constrained non–smooth nonlinear dynamic system,” International Journal of Control, Automation and Systems, vol. 10, no. 4, pp. 684–696, 2012.

    Article  MathSciNet  Google Scholar 

  32. S. M. Tabatabaei and M. M. Arefi, “Adaptive neural control for a class of uncertain non–affine nonlinear switched systems,” Nonlinear Dynamics, vol. 83, no. 3, pp. 1773–1781, 2016. [click]

    Article  MathSciNet  MATH  Google Scholar 

  33. F. Lewis, S. Jagannathan, and A. Yesildirak, Neural Network Control of Robot Manipulators and Non–linear Systems, CRC Press, 1998.

    Google Scholar 

  34. M. M. Arefi and M. R. Jahed–Motlagh, “Observer–based adaptive neural control for a class of nonlinear non–affine systems with unknown gain sign,” IFAC Proceedings Volumes, vol. 44, no. 1, pp. 2644–2649, 2011.

    Article  Google Scholar 

  35. S.–I. Han and J.–M. Lee, “Decentralized neural network control for guaranteed tracking error constraint of a robot manipulator,” International Journal of Control, Automation and Systems, vol. 13, no. 4, pp. 906–915, 2015. [click]

    Article  Google Scholar 

  36. E. Aguiñaga–Ruiz, A. Zavala–Río, V. Santibáñez, and F. Reyes, “Global trajectory tracking through static feedback for robot manipulators with bounded inputs,” IEEE Transactions on Control Systems Technology, vol. 17, pp. 934–944, 2009. [click]

    Article  MATH  Google Scholar 

  37. H. Jabbari Asl, G. Oriolo, and H. Bolandi, “An adaptive scheme for image–based visual servoing of an underactuated Uav,” International Journal of Robotics and Automation, vol. 29, 2014.

  38. H. J. Asl and J. Yoon, “Adaptive vision–based control of an unmanned aerial vehicle without linear velocity measurements,” ISA Transactions, vol. 65, pp. 296–306, 2016.

    Article  Google Scholar 

  39. P. M. Patre, W. MacKunis, K. Kaiser, and W. E. Dixon, “Asymptotic tracking for uncertain dynamic systems via a multilayer neural network feedforward and rise feedback control structure,” IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2180–2185, 2008. [click]

    Article  MathSciNet  MATH  Google Scholar 

  40. N. Fischer, A. Dani, N. Sharma, and W. Dixon, “Saturated control of an uncertain nonlinear system with input delay,” Automatica, vol. 49, no. 6, pp. 1741–1747, 2013. [click]

    Article  MathSciNet  MATH  Google Scholar 

  41. W. E. Dixon, M. S. de Queiroz, F. Zhang, and D. M. Dawson, “Tracking control of robot manipulators with bounded torque inputs,” Robotica, vol. 17, no. 02, pp. 121–129, 1999.

    Article  Google Scholar 

  42. C. L. Vaughan and B. L. Davis, Dynamics of Human Gait.

  43. R. Babaghasabha, M. A. Khosravi, and H. D. Taghirad, “Adaptive robust control of fully–constrained cable driven parallel robots,” Mechatronics, vol. 25, pp. 27–36, 2015. [click]

    Article  MATH  Google Scholar 

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Correspondence to Jungwon Yoon.

Additional information

Recommended by Associate Editor Changchun Hua under the direction of Editor Fuchun Sun. This work was supported by the National Research Foundation Korea (NRF) (2014R1A2A1A11053989 & 2017R1A2B4011704) and Dual Use Technology Program of Civil and Military.

Hamed Jabbari Asl received the Ph.D. in Electrical Engineering in 2013 from Iran University of Science and Technology. In 2011-2012 he was a visiting scholar at the Dipartimento di Informatica e Sistemistica, Universita di Roma “La Sapienza”, and in 2015–2016 he was a Senior Researcher at Robots & Intelligent Systems Lab, Gyeongsang National University. Currently, he is postdoctoral fellow at Toyota Technological Institute. His research interests include robot-aided rehabilitation, and nonlinear control applications.

Jungwon Yoon received the Ph.D. degree in the Department of Mechatronics, Gwangju Institute of Science and Technology (GIST), Gwangju, Korea, in 2005. He was a Senior Researcher in Electronics Telecommunication Research Institute (ETRI), Daejeon, Korea. From 2001 to 2002, he was a Visiting Researcher at Virtual Reality Lab, Rutgers University, Piscataway, NJ, USA, and was a Visiting Fellow at Functional and Applied Biomechanics Section, Rehabilitation Medicine of Department, Clinical Center, National Institutes of Health, Bethesda, MD, USA, from 2010 to 2011. From 2005 to 2017, he was a professor in the School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju, Korea. In 2017, he joined the School of Integrated Technology, Gwangju Institute of Science and Technology, Gwangju, Korea, where he is currently an Associate Professor. His current research interests include bio-nano robot control, virtual reality haptic devices, and rehabilitation robots. He has authored or coauthored more than 70 peer-reviewed journal articles and patents.

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Asl, H.J., Yoon, J. Stable assist-as-needed controller design for a planar cable-driven robotic system. Int. J. Control Autom. Syst. 15, 2871–2882 (2017). https://doi.org/10.1007/s12555-016-0492-x

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