A Sliding Mode Controler of Hips Actuated for Passive Walking Robots
الموضوعات : Journal of Computer & Robotics
Sina Bakhtiari
1
(Mechanical Engineering Department, Islamic Azad University Tehran North Branch, Tehran, Iran)
Mahdi Razzaghi
2
(Management Engineering Department, Azad University Science and Research Branch, Tehran, Iran)
Ahmad Samiee
3
(Mechanical Engineering Department, Azad University Science and Research Branch, Tehran, Iran)
الکلمات المفتاحية: sliding mode control, Biped walking robot, Pneumatic,
ملخص المقالة :
This paper addresses the application of using pneumatic force actuators at the hips of a five-link robotic system to provide a controllable input torque. The goal of this research is to provide a base to build upon to eventually produce an ” active” biped walking robot that utilizes the benefits of the passive walking cycle. A reduced-order mathematical model of the system consisting of the pneumatic proportional valve and actuators is utilized in designing the force controller. The model takes into account tube links, valve friction, piston friction, and valve mechanics. The five-link robot is also modeled, including moments of inertia, masses, and centers of mass to design the trajectory controller. The mathematical models provide the equations necessary to develop the nonlinear control laws based on Sliding Mode Control Theory for both the force and trajectory controller. The controllers receive input signals from both pressure and position sensors located at the hips and position sensors at the knees. These signals are then converted into digital signals and processed by the computer using numerical analysis to obtain ethical values. Once the signals are input into the controllers, the experimental results of the actual system track the desired force and position trajectories defined for each controller within desired limits.
[1] Razzaghi, P.; Assadian, N., "Study of the triple-mass tethered satellite system under aerodynamic drag and j2 perturbations", Advances in Space Research, vol. 56, no. 10, pp. 2141–2150 (2015).
[2] Razzaghi, P.; Al Khatib, E.; Bakhtiari, S., "Sliding mode and SDRE control laws on a tethered satellite system to de-orbit space debris", Advances in Space Research, vol. 64, no. 1, pp. 18–27 (2019).
[3] Khiabani, A. G.; Babazadeh, R., "Design of robust fractional-order lead–lag controller for uncertain systems", IET Control Theory & Applications, vol. 10, no. 18, pp. 2447–2455 (2016).
[4] Navabi, M.; Mirzaei, H., "Robust optimal adaptive trajectory tracking control of quadrotor helicopter", Latin American Journal of Solids and Structures, vol. 14, no. 6, pp. 1040–1063 (2017).
[5] Navabi, M.; Mirzaei, H., "θd based nonlinear tracking control of quadcopter", in 2016 4th International Conference on Robotics and Mechatronics (ICROM). IEEE, pp. 331–336 (2016).
[6] Al Khatib, E. I.; Al-Masri, W. M.; Mukhopadhyay, S.; Jaradat, M. A.; Abdel-Hafez, M., "A comparison of adaptive trajectory tracking controllers for wheeled mobile robots", in Mechatronics and its Applications (ISMA), 2015 10th International Symposium on. IEEE, pp. 1–6 (2015).
[7] Al Khatib, E. I.; Jaradat, M. A.; Abdel-Hafez, M.; Roigari, M., "Multiple sensor fusion for mobile robot localization and navigation using the extended kalman filter", in Mechatronics and its Applications (ISMA), 2015 10th International Symposium on. IEEE, pp. 1–5 (2015).
[8] Nateghi, S.; Shtessel, Y.; Barbot, J.-P.; Zheng, G.; Yu, L., "Cyber-attack reconstruction via sliding mode differentiation and sparse recovery algorithm: Electrical power networks application", in 2018 15th International Workshop on Variable Structure Systems (VSS). IEEE, pp. 285–290 (2018).
[9] Nateghi, S.; Shtessel, Y.; Barbot, J.-P.; Edwards, C., "Cyber attack reconstruction of nonlinear systems via higher-order sliding-mode observer and sparse recovery algorithm", in 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018, pp. 5963–5968 (2018).
[10] McGeer, T., "Passive dynamic walking", International Journal of Robotic Research., vol. 9, no. 2, pp. 62–82 (1990).
[11] McGeer, T., "Passive walking with knees", in Proceedings., IEEE International Conference on Robotics and Automation, May 1990, vol. 3, pp. 1640–1645 (1990).
[12] Camp, J., "Powered “passive” dynamic walking", Masters of Engineering Project Report, Cornell University (1997).
[13] Coleman, M. J.; Ruina, A., "An uncontrolled walking toy that cannot stand still", Physical Review Letters, vol. 80, no. 16, pp. 3658-3661 (1998).
[14] Garcia, M.; Chatterjee, A.; Ruina, A.; Coleman, M., "The simplest walking model: stability, complexity, and scaling", Journal of biomechanical engineering, vol. 120, no. 2, pp. 281–288 (1998).
[15] Van Der Linde, R. Q., "Active leg compliance for passive walking", in Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No. 98CH36146), vol. 3, pp. 2339–2344 (1998).
[16] Van Der Linde, R. Q., "Passive bipedal walking with phasic muscle contraction", Biological cybernetics, vol. 81, no. 3, pp. 227–237 (1999).
[17] Spong, M. W., "Passivity based control of the compass gait biped", in Proc. of IFAC World Congress, pp. 19–23 (1999).
[18] Goswami, A.; Espiau, B.; Keramane, A., "Limit cycles and their stability in a passive bipedal gait", in Proceedings of IEEE International Conference on Robotics and Automation, vol. 1. IEEE, 1996, pp. 246–251 (1996).
[19] Kuo, A. D., "Stabilization of lateral motion in passive dynamic walking", The International journal of robotics research, vol. 18, no. 9, pp. 917–930 (1999).
[20] Wisse, M.; Schwab, A. L., "A 3d passive dynamic biped with yaw and roll compensation", Robotica, vol. 19, no. 3, pp. 275–284 (2001).
[21] Collins, S. H.; Wisse, M.; Ruina, A., "A three-dimensional passive-dynamic walking robot with two legs and knees", The International Journal of Robotics Research, vol. 20, no. 7, pp. 607–615 (2001).
[22] Nikkhah, M.; Ashrafiuon, H.; Fahimi, F., "Robust control of underactuated bipeds using sliding modes", Robotica, vol. 25, no. 3, pp. 367-374 (2007).
[23] Rahmani, M.; Ghanbari, A.; Ettefagh, M., "A novel adaptive neural network integral sliding-mode control of a biped robot using bat algorithm", Journal of Vibration and Control, vol. 24, no. 10, pp. 2045-2060 (2019).
[24] Taherkhorsandi, M.; Mahmoodabadi, M. J.; Talebipour, M.; Castillo-Villar, K. K., "Pareto design of an adaptive robust hybrid of PID and sliding control for a biped robot via genetic algorithm optimization", Nonlinear dynamics, vol. 79, no. 1, pp. 251-263 (2015).
[25] Slotine, J.-J. E.; Li, W., "Applied nonlinear control", Prentice hall Englewood Cliffs, NJ, vol. 199, no. 1 (1991).
