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Comparison of SMC and PID Controllers for Pneumatically Powered Knee Orthosis

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Abstract

The study aims in the design and implementation of suitable controllers for the knee joint of a pneumatically actuated orthosis, which is intended for rehabilitation and assistive purposes. Pneumatically powered orthosis, when compared with electrically driven orthosis, is lightweight in structure and also cost-effective. The knee and hip joints of the orthosis should follow the desired angle trajectory so that subject can move and stabilize efficiently. The role of controllers is crucial for the effective functioning of the limb to achieve the desired angle and velocity. Controllers like SMC and PID are integrated in the driving mechanism of the limb, and the characteristics are determined. The gain constants of proportional–integral–derivative controller (PID) are tuned manually to get the optimal response. Sliding mode control (SMC), basically a nonlinear control method is implemented for better performance. The prototype of below hip orthosis is fabricated, and the kinematic equations of the system are determined which is used to choose the optimum trajectory for the knee joints. The dynamics of the system are determined using Lagrange Euler Method, and the actuator torque required for both the joints is calculated. The performance of both controllers is compared, and SMC controller proved to be efficient in tracking the different types of reference inputs of the pneumatic assistive limb.

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References

  • Ai, Q., Zhu, C., Zuo, J., Meng, W., Liu, Q., Xie, S., & Yang, M. (2018). Disturbance-estimated adaptive backstepping sliding mode control of a pneumatic muscles-driven ankle rehabilitation robot. Sensors, 18(1), 66.

    Google Scholar 

  • Andrikopoulos, G., Nikolakopoulos, G., & Manesis, S. (2014). Advanced nonlinear PID-based antagonistic control for pneumatic muscle actuators. IEEE Transactions on Industrial Electronics, 61(12), 6926–6937.

    Article  Google Scholar 

  • Aschemann, H., & Schindele, D. (2008). Sliding-mode control of a high-speed linear axis driven by pneumatic muscle actuators. IEEE Transactions on Industrial Electronics, 55(11), 3855–3864.

    Article  Google Scholar 

  • Bone, G. M., & Ning, S. (2007). Experimental comparison of position tracking control algorithms for pneumatic cylinder actuators. IEEE/ASME Transactions on Mechatronics, 12(5), 557–561.

    Article  Google Scholar 

  • Caldwell, D.G., Medrano-Cerda, G.A., & Goodwin, M. (1994). Characteristics and adaptive control of pneumatic muscle actuators for a robotic elbow. In Proceedings of the 1994 IEEE international conference on robotics and automation, (pp. 3558–3563). IEEE

  • Cao, J., Xie, S. Q., & Das, R. (2017). MIMO sliding mode controller for gait exoskeleton driven by pneumatic muscles. IEEE Transactions on Control Systems Technology, 26(1), 274–281.

    Article  Google Scholar 

  • Chou, C.-P., & Hannaford, B. (1996). Measurement and modeling of McKibben pneumatic artificial muscles. IEEE Transactions on Robotics and Automation, 12(1), 90–102.

    Article  Google Scholar 

  • Dzahir, M., & Yamamoto, S.-I. (2014). Recent trends in lower-limb robotic rehabilitation orthosis: Control scheme and strategy for pneumatic muscle actuated gait trainers. Robotics, 3(2), 120–148.

    Article  Google Scholar 

  • Ferris, D. P., Czerniecki, J. M., & Hannaford, B. (2005). An ankle-foot orthosis powered by artificial pneumatic muscles. Journal of Applied Biomechanics, 21(2), 189–197.

    Article  Google Scholar 

  • Jouppila, V. T., Gadsden, S. A., Bone, G. M., Ellman, A. U., & Habibi, S. R. (2014). Sliding mode control of a pneumatic muscle actuator system with a PWM strategy. International Journal of Fluid Power, 15(1), 19–31.

    Article  Google Scholar 

  • Kazerooni, H. (2004). Pneumatic force control for robotic systems. In Proceedings of the IEEE International Conference on Mechatronics, 2004. ICM'04., (pp. 231–236). IEEE.

  • Kazerooni, H. (2005). Design and analysis of pneumatic force generators for mobile robotic systems. IEEE/ASME Transactions on Mechatronics, 10(4), 411–418.

    Article  Google Scholar 

  • Kim, G., Kang, S., Cho, H., Ryu, J., Mun, M., & Kim, K. (2010). Modeling and simulation of powered hip orthosis by pneumatic actuators. International Journal of Control, Automation and Systems, 8(1), 59–66.

    Article  Google Scholar 

  • Lilly, J. H., & Yang, L. (2005). Sliding mode tracking for pneumatic muscle actuators in opposing pair configuration. IEEE Transactions on Control Systems Technology, 13(4), 550–558.

    Article  Google Scholar 

  • Long, Yi., Zhi-jiang, Du., Wang, W.-D., & Dong, W. (2016). Robust sliding mode control based on GA optimization and CMAC compensation for lower limb exoskeleton. Applied Bionics and Biomechanics, 2016, 1–13.

    Article  Google Scholar 

  • Nguyen, T., Leavitt, J., Jabbari, F., & Bobrow, J. E. (2007). Accurate sliding-mode control of pneumatic systems using low-cost solenoid valves. IEEE/ASME Transactions on Mechatronics, 12(2), 216–219.

    Article  Google Scholar 

  • Prabhakaran, V., Ashmi, M., Jayaraj, S.,& Sivanandan, K.S. (2016) Design of a controller for the pneumatic flow control valve and pressure regulation for application related to pneumatically powered orthosis. In International Conference on Information Communication and Embedded Systems (ICICES), (pp. 1–5). IEEE

  • Riachy, S., & Ghanes, M. (2014). A nonlinear controller for pneumatic servo systems: Design and experimental tests. IEEE/ASME Transactions on Mechatronics, 19(4), 1363–1373.

    Article  Google Scholar 

  • Sawicki, G. S., & Ferris, D. P. (2009). A pneumatically powered knee-ankle-foot orthosis (KAFO) with myoelectric activation and inhibition. Journal of Neuroengineering and Rehabilitation, 6(1), 23.

    Article  Google Scholar 

  • Schroder, J., Kawamura, K., Gockel, T., & Dillmann, R. (2003). Improved control of a humanoid arm driven by pneumatic actuators. In Proceedings of Humanoids (pp. 1–20).

  • Slotine, J.-J.E., & Li, W. (1991). Applied nonlinear control (Vol. 199). Prentice hall: Englewood Cliffs, NJ.

    MATH  Google Scholar 

  • Smyrnaiou, G. P., Papoutsidakis, M., Xatzopoulos, A., & Tseles, D. (2017). Control of SIMO systems in simulation: The challenge of the multiple axes actuating pneumatic arm. International Journal of Computer Applications, 975, 8887.

    Google Scholar 

  • Taheri, B., Case, D., & Richer, E. (2014). Force and stiffness backstepping-sliding mode controller for pneumatic cylinders. IEEE/ASME Transactions on Mechatronics, 19(6), 1799–1809.

    Article  Google Scholar 

  • Tsai, Y.-C., & Huang, A.-C. (2008). Multiple-surface sliding controller design for pneumatic servo systems. Mechatronics, 18(9), 506–512.

    Article  Google Scholar 

  • Ulkir, O., Akgun, G., & Kaplanoglu, E. (2018). Mechanical design and analysis of a pneumatic ankle foot orthosis. In 2018 Electric Electronics, Computer Science, Biomedical Engineerings' Meeting (EBBT), (pp. 1–4). IEEE.

  • Van Varseveld, R. B., & Bone, G. M. (1997). Accurate position control of a pneumatic actuator using on/off solenoid valves. IEEE/ASME Transactions on Mechatronics, 2(3), 195–204.

    Article  Google Scholar 

  • Winter, D. A. (2009). Biomechanics and motor control of human movement. New Jersey: John Wiley & Sons.

    Book  Google Scholar 

  • Wolbrecht, E.T., Leavitt, J., Reinkensmeyer, D.J., & Bobrow, J.E. (2006). Control of a pneumatic orthosis for upper extremity stroke rehabilitation. In 2006 International Conference of the IEEE Engineering in Medicine and Biology Society, (pp. 2687–2693). IEEE.

  • Xie, H., Chen, K., Yang, Y., & Li, F. (2015). Artificial leg design and control research of a biped robot with heterogeneous legs based on PID control algorithm. International Journal Bioautomation, 19(1), 95–106.

    Google Scholar 

  • Xing, K., Huang, J., Wang, Y., Wu, J., Xu, Q., & He, J. (2010). Tracking control of pneumatic artificial muscle actuators based on sliding mode and non-linear disturbance observer. IET Control Theory & Applications, 4(10), 2058–2070.

    Article  MathSciNet  Google Scholar 

  • Zhao, J., Zhong, J., & Fan, J. (2015). Position control of a pneumatic muscle actuator using RBF neural network tuned PID controller. Mathematical Problems in Engineering, 2015, 1–16.

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Acknowledgements

All authors would like to express their gratitude for the laboratory facilities provided by National Institute of Technology Calicut, Kerala, India, for conducting this research.

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Authors and Affiliations

  1. Department of Electrical Engineering, National Institute of Technology Calicut, Kozhikode, Kerala, India

    M. Ashmi

  2. Department of Electronics and Instrumentation, Federal Institute of Science and Technology, Angamaly, Kerala, India

    M. Anila

  3. Department of Biomedical Engineering, Manipal Academy of Higher Education, Manipal, Karnataka, India

    K. S. Sivanandan

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  1. M. Ashmi
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  2. M. Anila
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  3. K. S. Sivanandan
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Correspondence to M. Ashmi.

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Ashmi, M., Anila, M. & Sivanandan, K.S. Comparison of SMC and PID Controllers for Pneumatically Powered Knee Orthosis. J Control Autom Electr Syst 32, 1153–1163 (2021). https://doi.org/10.1007/s40313-021-00775-0

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  • DOI: https://doi.org/10.1007/s40313-021-00775-0

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