Abstract
Hydraulic driven legged robots have the advantage of large load capacity and strong environmental adaptability, which has a wide range of prospects for military and civilian applications. And its joint is driven by hydraulic actuator, which is structured as a valve-controlled cylinder and is called hydraulic drive unit (HDU). The control accuracy of the HDU affects the control performance of the robot. And it is difficult for a single control method to meet the requirements of high accuracy control of robot joints. Therefore, in order to meet the requirements for high-accuracy periodic gait of legged robots, an impedance compound control of the HDU is designed based on the authors' previous research of state feedback control (SFC). Firstly, according to the characteristics of the periodic signal, the system error is analyzed, and plug-in repetitive control (PIRC) is designed. Secondly, considering the influence of load force on control accuracy, a model-based feedforward disturbance rejection control (FDRC) is designed. Finally, a high-accuracy impedance compound control of the HDU combined the SFC, PIRC and FDRC is formed and the control structure is also designed. The experimental results show that both PIRC and FDRC can improve the control accuracy of the HDU, and PIRC has better control effect. The reduction rates of the maximum error and mean square error are all more than 80%.
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References
Sonker, R., Dutta, A.: Adding terrain height to improve model learning for path tracking on uneven terrain by a four wheel robot. IEEE Robot. Autom. Lett. 6(1), 239–246 (2021). https://doi.org/10.1109/LRA.2020.3039730
Grigore, L.S., Oncioiu, I., Priescu, I., et al.: Development and evaluation of the traction characteristics of a crawler EOD robot. Appl. Sci. Basel 11(9), 3757 (2021)
Ba, K.X., Song, Y.h., Wang, C.Y., et al.: A novel kinematics and statics correction algorithm of semi-cylindrical foot end structure for 3-DOF LHDS of legged robots. Complex Intell. Syst. 8, 5387–5407 (2022). https://doi.org/10.1007/s40747-022-00748-z
Schreiber D A, Richter F, Bilan A, et al.: ARCSnake: An Archimedes’ screw-propelled, reconfigurable serpentine robot for complex environments, 2020 IEEE International Conference on Robotics and Automation (ICRA), pp. 7029–7034 (2020). https://doi.org/10.1109/ICRA40945.2020.9196968
Cui, Z.M., Zhang, G.T., Rong, X.W., et al.: Design and motion planning of hydraulically driven leg for maximum height jumping. Mechatronics 74, 102499 (2021). https://doi.org/10.1016/j.mechatronics.2021.102499
Zhu, Q.X., Huang, D.H., Yu, Bin., et al.: An improved method combined SMC and MLESO for impedance control of legged robots’ electro-hydraulic servo system. ISA Trans. 130, 598–609 (2022). https://www.sciencedirect.com/science/article/abs/pii/S001905782200129X?via%3Dihub
Playter, R., Buehler, M., Raibert, M., BigDog, Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, vol. 6, pp. 239–246 (2006). https://doi.org/10.1109/LRA.2020.3039730.
Scott, R., Gourley: Fully loaded: DARPA’s Legged Squad Support System is able to operate over difficult terrain. Unmanned Vehicles: Dedicated to the Unmanned Systems Industry 19(2), 51–54 (2014)
Boston Dynamics. Spot [EB/OL]. https://www.bostondynamics.com/spot (2021) Accessed 1 June 2021
Gabriel, U., Victor, B., Claudio, S., et al.: Effect of compliance on morphological control of dynamic locomotion with HyQ. Autonomous Robot 45(3), 421–434 (2021). https://doi.org/10.1007/s10514-021-09974-9
Semini, C., Victor, B., Jake, G., et al.: Design of the hydraulically actuated, torque-controlled quadruped robot HyQ2Max. IEEE/ASME Trans. Mechatron. 22(2), 635–646 (2017). https://doi.org/10.1109/TMECH.2016.2616284
Semini C, Barasuol V, Focchi M, et al. Brief introduction to the quadruped robot HyQReal, Italian Conference on Robotics and Intelligent Machines, pp. 1–2 (2021)
Hua, Z.S., Rong, X.W., Li, Y.B., et al.: Analysis and verification on energy consumption of the quadruped robot with passive compliant hydraulic servo actuator. Appl. Sci.-Basel 10(1), 340 (2020). https://doi.org/10.3390/app10010340
Georg, W., Sylvain, B., Wu, T. F., et al.: Walking on partial footholds including line contacts with the humanoid robot atlas, International Conference on Humanoid Robots, pp. 1312–1319 (2016).
Shi, Y.P., Li, M.T., Zha, F.S., et al.: Force-controlled compensation scheme for P-Q valve-controlled asymmetric cylinder used on hydraulic quadruped robots[J]. J. Bionic Eng. 17(6), 1–13 (2020). https://doi.org/10.1007/s42235-020-0091-7
Karam Dad, K., Amad, Z., Muhammad Umair, A., et al.: Robust controller for pursuing trajectory and force estimations of a bilateral tele-operated hydraulic manipulator. Remote Sens. 13(9), 1648 (2021). https://doi.org/10.3390/rs13091648
Yang, D., Zong, G.D., Su, S.F., et al.: Time-driven adaptive control of switched systems with application to electro-hydraulic unit. IEEE Trans. Cybernet. (2021). https://doi.org/10.1109/TCYB.2021.3077599
Weerapong, C., Unnat, P.: Friction compensated fuzzy force tracking control of electro-hydraulic system. 2020 5th International Conference on Control and Robotics Engineering (ICCRE), pp. 114–118 (2020). https://doi.org/10.1109/ICCRE49379.2020.9096434
Cheng, C., Liu, S.Y., Wu, H.Z.: Sliding mode observer-based fractional-order proportional–integral–derivative sliding mode control for electro-hydraulic servo systems. Arch. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 234(10), 1887–1898 (2020). https://doi.org/10.1177/0954406220903337
Hu, Y.F., Li, D.H.: An improved active disturbance rejection controller for hydraulic valve-controlled hydraulic motor. Proceedings of the 39th Chinese control conference, pp. 6037–6042 (2020) https://doi.org/10.23919/CCC50068.2020.9189405
Zhu, Q.X., Yu, B., Huang, Z.P., et al.: State feedback-based impedance control for legged robot hydraulic drive unit via full-dimensional state observer. Int. J. Adv. Robot. Syst. 17(3), 172988142092461 (2020). https://doi.org/10.1177/1729881420924611
Zhang, Q., Guo, H., Liu, Y., et al.: Robust plug-in repetitive control for speed smoothness of cascaded-PI PMSM drive. Mech. Syst. Signal Process. 163(8), 108090 (2022). https://doi.org/10.1016/j.ymssp.2021.108090
Sadegh, N.: Synthesis and stability analysis of repetitive controllers. American Control Conference, pp. 2634–2639 (1991)
Tsai, M.C., Wu, S.Y.: Design of a plug-in type repetitive controller for periodic inputs. IEEE Trans. Control Syst. Technol. 10(4), 547–555 (2002). https://doi.org/10.1109/TCST.2002.1014674.L
Hara, S., Yamamoto, Y.: Stability of repetitive control systems. IEEE Conference on Decision and Control, pp. 326–327 (1985)
Srinivasan, K., Shaw, F.R.: Analysis and design of repetitive control systems using the regeneration spectrum. Am. Control Conf. 113, 216 (1990)
Funding
This work was supported by Project funded by China Postdoctoral Science Foundation (Grant No.2022M722737), National Natural Science Foundation of China (52122503, 51975506) and Natural Science Foundation of Hebei Province (E2022203002).
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [Bin Yu], [Xinjie Li], [Junhui Zhang], [Huaizhi Zong], [Kaixian Ba] and [Xiangdong Kong]. The first draft of the manuscript was written by [Qixin Zhu] and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Zhu, Q., Yu, B., Li, X. et al. High‑accuracy Impedance Compound Control of the Actuator for Periodic Gait of Legged Robots. J Intell Robot Syst 108, 3 (2023). https://doi.org/10.1007/s10846-023-01845-y
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DOI: https://doi.org/10.1007/s10846-023-01845-y