Iranian Journal of  Manufacturing Engineering

Iranian Journal of Manufacturing Engineering

Position control of a servo-hydraulic system as a pump-control closed-loop hydraulic circuit with back stepping method

Document Type : Original Article

Authors
Department of Mechanixhal Engineering, Shahid Rajaee University, Tehran, Iran
10.22034/ijme.2026.543711.2128
Abstract
In this research, the position control of a closed-loop pump-controlled hydraulic servo system is investigated in the presence of uncertainties arising from system wear. To this end, a nonlinear backstepping-based controller is designed, and the stability of the closed-loop system is guaranteed using Lyapunov stability analysis. In the controller design, the effects of internal leakage, friction, and variations in hydraulic parameters are considered as realistic system uncertainties. First, the hydraulic servo system under study is mathematically modeled based on its physical parameters. Then, the backstepping controller is developed by explicitly accounting for system uncertainties. To evaluate the performance of the proposed controller, an experimental test rig with dynamic behavior similar to that of an industrial hydraulic servo system is designed and implemented. The controller performance is experimentally assessed through real-time implementation using an Arduino DUE hardware platform and a sinusoidal reference input. Experimental results demonstrate that the proposed backstepping controller significantly reduces the tracking error compared to a genetic algorithm–optimized PID controller and effectively eliminates the steady-state error, which is approximately 3% in the PID-based approach. Specifically, the root mean square (RMS) tracking error achieved by the proposed method is reduced to less than one-quarter of that obtained using the PID controller. The results confirm the effectiveness and practical applicability of the proposed control strategy for industrial hydraulic servo systems.
Keywords

[1] Aboelela MA, Essa ME, Hassan MM. Modeling and identification of hydraulic servo systems. International Journal of Modelling and Simulation. 2018 Jul 3;38(3):139-49. doi: 10.1080/02286203.2017.1405713
[2] Li J, Kong L, Liang H, Li W. Review of development and characteristics research on electro-hydraulic servo system. Recent Patents on Engineering. 2024 Aug 1;18(6):140-54. doi: 10.2174/1872212118666230711165517
[3] Zhang B, Enyan M, Junsen R, Xinxing Z, Hongyu L. Position control of electro-hydraulic servo system based on repetitive control strategy. Recent Patents on Mechanical Engineering. 2024 Aug 1;17(4):260-80. doi: 10.2174/0122127976288436240221060807
[4] Hua H, Fang Y, Zhang X, Qian C. Auto-tuning nonlinear PID-type controller for rotorcraft-based aggressive transportation. Mechanical Systems and Signal Processing. 2020 Nov 1;145:106858. doi: 10.1016/j.ymssp.2020.106858
[5] Du S, Yan Q, Qiao J. Event-triggered PID control for wastewater treatment plants. Journal of Water Process Engineering. 2020 Dec 1;38:101659.  doi: 10.1016/j.jwpe.2020.101659
[6] Lui DG, Petrillo A, Santini S. An optimal distributed PID-like control for the output containment and leader-following of heterogeneous high-order multi-agent systems. Information Sciences. 2020 Dec 1;541:166-84.  doi: 10.1016/j.ins.2020.06.049
[7] Feng H, Ma W, Yin C, Cao D. Trajectory control of electro-hydraulic position servo system using improved PSO-PID controller. Automation in Construction. 2021 Jul 1;127:103722. doi: 10.1016/j.autcon.2021.103722
[8] Feng H, Yin CB, Weng WW, Ma W, Zhou JJ, Jia WH, Zhang ZL. Robotic excavator trajectory control using an improved GA based PID controller. Mechanical Systems and Signal Processing. 2018 May 15;105:153-68. doi: 10.1016/j.ymssp.2017.12.014
[9] Mousakazemi SM, Ayoobian N. Robust tuned PID controller with PSO based on two-point kinetic model and adaptive disturbance rejection for a PWR-type reactor. Progress in Nuclear Energy. 2019 Mar 1;111:183-94. doi: 10.1016/j.pnucene.2018.11.003
[10] Liu H, Li Y, Zhang Y, Chen Y, Song Z, Wang Z, Zhang S, Qian J. Intelligent tuning method of PID parameters based on iterative learning control for atomic force microscopy. Micron. 2018 Jan 1;104:26-36. doi: 10.1016/j.micron.2017.09.009
[11] Tadesse A, Jungong M. Modeling and simulations on a fuzzy-PID position controller of electro hydraulic servo system. In2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) 2015 Aug 15 (pp. 96-103). IEEE. doi: 10.1109/FSKD.2015.7381922
[12] Chen G, Liu H, Jia P, Qiu G, Yu H, Yan G, Ai C, Zhang J. Position output adaptive backstepping control of electro-hydraulic servo closed-pump control system. Processes. 2021 Dec 8;9(12):2209. doi: 10.3390/pr9122209
[13] Sun C, Dong X, Wang M, Li J. Sliding mode control of electro-hydraulic position servo system based on adaptive reaching law. Applied Sciences. 2022 Jul 7;12(14):6897. doi: 10.3390/app12146897
[14] Wang Y, Zhao J, Zhang H, Wang H. Robust output feedback control for electro-hydraulic servo system with error constraint based on high-order sliding mode observer. Transactions of the Institute of Measurement and Control. 2023 Jun;45(9):1703-12. doi: 10.1177/01423312221146225
[15] Zhang G, Shen G, Ye T, Liu D, Tang Y, Li X, Guo Y. Disturbance compensation based robust backstepping control for 2-DOF electro-hydraulic tunneling robot. Journal of Mechanical Science and Technology. 2024 Sep;38(9):5017-31. doi: 10.1007/s12206-024-0837-y
[16] Wan Z, Fu Y, Liu C, Yue L. Backstepping Sliding Mode Control Based on Extended State Observer for Hydraulic Servo System. Intelligent Automation & Soft Computing. 2023 Jun 1;36(3). doi: 10.32604/iasc.2023.036601
[17] Kaddissi C, Kenne JP, Saad M. Indirect adaptive control of an electrohydraulic servo system based on nonlinear backstepping. IEEE/ASME transactions on mechatronics. 2010 Dec 30;16(6):1171-7. doi: 10.1109/TMECH.2010.2092785
[18] Ella Eny G, Angue Mintsa H, Senouveau N, Assoumou Nzue RM. chattering analysis of an electro-hydraulic backstepping velocity controller. International Journal of Applied Mechanics and Engineering. 2024 Mar;29(1):36-53. doi: 10.59441/ijame/181644
[19] Zhang T, Ge SS, Hang CC. Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica. 2000 Dec 1;36(12):1835-46.  doi: 10.1016/S0005-1098(00)00116-3
[20] Soon CC, Ghazali R, Ghani MF, Shern CM, Sam YM, Has Z. Chattering analysis of an optimized sliding mode controller for an electro-hydraulic actuator system. Journal of Robotics and Control (JRC). 2022 Feb 5;3(2):160-5.  doi: 10.18196/JRC.V3I2.13671
[21] Guo YQ, Zha XM, Shen YY, Wang YN, Chen G. Research on PID position control of a hydraulic servo system based on Kalman genetic optimization. InActuators 2022 Jun 15 (Vol. 11, No. 6, p. 162). MDPI. doi: 10.3390/act11060162