Abstract
This paper addresses the robust control scheme for electrohydraulic servo systems (EHSS) with system uncertainties by utilizing a novel extended sliding mode observer (ESMO). The state-space model of the EHSS is derived by considering system uncertainties. The ESMO with only the displacement feedback signal is employed to estimate both the system full-state and the unmodelled system uncertainties. What’s more, with estimation values from the ESMO, a robust control scheme (RCS) is addressed in detail for the EHSS by employing the multiple-surface sliding control (MSSC) architecture. In addition, three proper boundary layers are properly employed to suppress the chattering phenomenon in the control input so that the controller can achieve a smooth sliding manifold. Subsequently, a proper Lyapunov function is defined to prove the stability of the closed-loop. Comparative simulation and experimental results prove the efficiency of the proposed control methodology.
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References
Qian Y, Han S, Aguirre-Ollinger G, Fu C, Yu H (2022) Design, modeling, and control of a reconfigurable rotary series elastic actuator with nonlinear stiffness for assistive robots. Mechatronics 86:102872
Zhakypov Z, Huang JL, Paik J (2016) A novel torsional shape memory alloy actuator: Modeling, characterization, and control. IEEE Robot Autom Mag 23(3):65–74
Guo Q, Yin JM, Yu T, Jiang D (2017) Coupled-disturbance-observer-based position tracking control for a cascade electro-hydraulic system. ISA Trans 68:367–380
Zang W, Zhang Q, Shen G, Fu Y (2022) Extended sliding mode observer based robust adaptive backstepping controller for electro-hydraulic servo system: theory and experiment. Mechatronics 85:102841
Zhao JS, Shen G, Zhu WD, Yang CF, Agrawal SK (2018) Force tracking control of an electro-hydraulic control loading system on a flight simulator using inverse model control and a damping compensator. Trans Inst Meas Control 40(1):135–147
Feng H, Song Q, Ma S, Ma W, Yin C, Cao D, Yu H (2022) A new adaptive sliding mode controller based on the RBF neural network for an electro-hydraulic servo system. ISA Trans 129:472–484
Zhao JS, Shen G, Zhu WD, Yang CF, Yao J (2016) Robust force control with a feed-forward inverse model controller for electro-hydraulic control loading systems of flight simulators. Mechatronics 38:42–53
Jin X, Chen K, Zhao Y, Ji J, Jing P (2020) Simulation of hydraulic transplanting robot control system based on fuzzy PID controller. Measurement 164:108023
Zhu Q, Zhang J, Li X, Zong H, Yu B, Ba K, Kong X (2023) An adaptive composite control for a hydraulic actuator impedance system of legged robots. Mechatronics 91:102951
Shen G, Zhu ZC, Li X, Tang Y, Hou DD, Teng WX (2016) Real time electro-hydraulic hybrid system for structural testing subjected to vibration and force loading. Mechatronics 33:49–70
Wang C, Jiao Z, Quan L (2015) Nonlinear robust dual-loop control for electro-hydraulic load simulator. ISA Trans 59:280–289
Feng H, Ma W, Yin C, Cao D (2021) Trajectory control of electro-hydraulic position servo system using improved PSO-PID controller. Autom Constr 127:103722
Seo J, Venugopal R, Kenné JP (2007) Feedback linearization based control of a rotational hydraulic drive. Control Eng Pract 15(12):1495–1507
Yao J, Jiang G, Gao S, Yan H, Di D (2014) Particle swarm optimization-based neural network control for an electro-hydraulic servo system. J Vib Control 20(9):1369–1377
Yao Z, Yao J, Sun W (2018) Adaptive RISE control of hydraulic systems with multilayer neural-networks. IEEE Trans Ind Electron 66(11):8638–8647
Milić V, Šitum Ž, Essert M (2010) Robust H∞ position control synthesis of an electro-hydraulic servo system. ISA Trans 49(4):535–542
Chen WH, Yang J, Guo L, Li S (2015) Disturbance-observer-based control and related methods—an overview. IEEE Trans Industr Electron 63(2):1083–1095
Sariyildiz E, Oboe R, Ohnishi K (2019) Disturbance observer-based robust control and its applications: 35th anniversary overview. IEEE Trans Ind Electron 67(3):2042–2053
Guo K, Wei J, Fang J, Feng R, Wang X (2015) Position tracking control of electro-hydraulic single-rod actuator based on an extended disturbance observer. Mechatronics 27:47–56
Ginoya D, Shendge PD, Phadke SB (2015) Disturbance observer based sliding mode control of nonlinear mismatched uncertain systems. Commun Nonlinear Sci Numer Simul 26(1–3):98–107
Won D, Kim W, Shin D, Chung CC (2014) High-gain disturbance observer-based backstepping control with output tracking error constraint for electro-hydraulic systems. IEEE Trans Control Syst Technol 23(2):787–795
Deepika D, Kaur S, Narayan S (2020) Integral terminal sliding mode control unified with UDE for output constrained tracking of mismatched uncertain non-linear systems. ISA Trans 101:1–9
Bakhshande F, Söffker D (2018) Proportional-integral-observer-based backstepping approach for position control of a hydraulic differential cylinder system with model uncertainties and disturbances. J Dyn Syst Meas Control 140(12):121006
Wang C, Quan L, Jiao Z, Zhang S (2017) Nonlinear adaptive control of hydraulic system with observing and compensating mismatching uncertainties. IEEE Trans Control Syst Technol 26(3):927–938
Davila J, Fridman L, Levant A (2005) Second-order sliding-mode observer for mechanical systems. IEEE Trans Autom Control 50(11):1785–1789
Xu W, Qu S, Zhao L, Zhang H (2020) An improved adaptive sliding mode observer for middle-and high-speed rotor tracking. IEEE Trans Power Electron 36(1):1043–1053
Wu L, Liu J, Vazquez S, Mazumder SK (2021) Sliding mode control in power converters and drives: a review. IEEE/CAA J Automatica Sinica 9(3):392–406
Zhang J, Shi P, Lin W (2016) Extended sliding mode observer based control for Markovian jump linear systems with disturbances. Automatica 70:140–147
Nguyen MH, Dao HV, Ahn KK (2023) Extended sliding mode observer-based high-accuracy motion control for uncertain electro-hydraulic systems. Int J Robust Nonlinear Control 33(2):1351–1370
Wang S, Tao L, Chen Q, Na J, Ren X (2020) USDE-based sliding mode control for servo mechanisms with unknown system dynamics. IEEE/ASME Trans Mechatron 25(2):1056–1066
Burton JA, Zinober AS (1986) Continuous approximation of variable structure control. Int J Syst Sci 17(6):875–885
Shao K, Zheng J, Wang H, Xu F, Wang X, Liang B (2021) Recursive sliding mode control with adaptive disturbance observer for a linear motor positioner. Mech Syst Signal Process 146:107014
Lan Q, Li S, Yang J (2020) Finite-time tracking control for a class of nonlinear systems with multiple mismatched disturbances. Int J Robust Nonlinear Control 30(10):4095–4111
Yang X, Yao J, Deng W (2021) Output feedback adaptive super-twisting sliding mode control of hydraulic systems with disturbance compensation. ISA Trans 109:175–185
Won M, Hedrick JK (1996) Multiple-surface sliding control of a class of uncertain nonlinear systems. Int J Control 64(4):693–706
Huang AC, Chen YC (2004) Adaptive multiple-surface sliding control for non-autonomous systems with mismatched uncertainties. Automatica 40(11):1939–1945
Tsai YC, Huang AC (2008) Multiple-surface sliding controller design for pneumatic servo systems. Mechatronics 18(9):506–512
Acknowledgements
This work was supported in part by the Key Project of National Natural Science Foundation of China (No. U21A20125), in part by the Shandong Provincial Natural Science Foundation (No. ZR2021QE107), in part by the Coal Mine Safety Mining Equipment Innovation Center of Anhui Province (No. CMSMEICAP2023007) and the Shanxi Province Public Bidding Project (20201101010).
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Zang, W., Shen, G., Zhao, J. et al. Robust control scheme for electrohydraulic servo systems using extended sliding mode observer. J Braz. Soc. Mech. Sci. Eng. 46, 294 (2024). https://doi.org/10.1007/s40430-024-04840-y
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DOI: https://doi.org/10.1007/s40430-024-04840-y