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Article

Model-Free Multi-Parameter Optimization Control for Electro-Hydraulic Servo Actuators with Time Delay Compensation

1
School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China
2
Yanshan University Science Park, Qinhuangdao 066004, China
3
Key Laboratory of Special Transport Equipment of Hebei Province, Yanshan University, Qinhuangdao 066004, China
*
Authors to whom correspondence should be addressed.
Actuators 2025, 14(12), 617; https://doi.org/10.3390/act14120617
Submission received: 6 November 2025 / Revised: 6 December 2025 / Accepted: 16 December 2025 / Published: 17 December 2025

Abstract

System time delays and nonlinear unmodeled dynamics severely constrain the control performance of the Active Suspension Electro-Hydraulic Servo Actuator (ASEHSA). To tackle these challenges, this paper presents a Dynamic Error Differentiation-based Model-Free Adaptive Control (DE-MFAC) strategy integrated with an Improved Particle Swarm Optimization (IPSO) algorithm. Established under the Model-Free Adaptive Control (MFAC) framework, the DE-MFAC integrates a dynamic error differentiation mechanism and an implicit expression of time delays, thus removing the dependence on a precise system model. The traditional PSO algorithm is improved by incorporating an inertia weight adjustment strategy and a boundary reflection wall strategy, which effectively mitigates the issues of local optima and boundary stagnation. In AMESim 2021, a 1/4 vehicle active suspension electro-hydraulic actuation system model is constructed. To ensure an impartial evaluation of controller performance, the IPSO algorithm is employed to optimize the parameters of the PID, MFAC, and DE-MFAC controllers, respectively. Co-simulations with Simulink 2023b are conducted under two time delay scenarios using a composite square-sine wave signal as the reference. The results indicate that all three IPSO-optimized controllers realize effective position tracking. Among them, the DE-MFAC controller exhibits the optimal performance, demonstrating remarkable advantages in reducing tracking errors and balancing settling time with overshoot. These findings verify the effectiveness of the proposed control strategy, time delay compensation mechanism, and optimization algorithm. Future research will involve validation on a physical ASEHSA platform, further exploration of the method’s applicability and robustness under diverse operating conditions, and extension to other industrial systems with similar nonlinear time delay features.
Keywords: active suspension; electro-hydraulic servo actuator; model-free adaptive control; time delay systems active suspension; electro-hydraulic servo actuator; model-free adaptive control; time delay systems

Share and Cite

MDPI and ACS Style

Zheng, H.; Xiong, H.; Zhao, D.; Ren, Y.; Cao, S.; Huang, Z.; Hu, Z.; Zhou, Z.; Zhao, L.; Li, L. Model-Free Multi-Parameter Optimization Control for Electro-Hydraulic Servo Actuators with Time Delay Compensation. Actuators 2025, 14, 617. https://doi.org/10.3390/act14120617

AMA Style

Zheng H, Xiong H, Zhao D, Ren Y, Cao S, Huang Z, Hu Z, Zhou Z, Zhao L, Li L. Model-Free Multi-Parameter Optimization Control for Electro-Hydraulic Servo Actuators with Time Delay Compensation. Actuators. 2025; 14(12):617. https://doi.org/10.3390/act14120617

Chicago/Turabian Style

Zheng, Haiwu, Hao Xiong, Dingxuan Zhao, Yinying Ren, Shuoshuo Cao, Ziqi Huang, Zeguang Hu, Zhuangding Zhou, Liqiang Zhao, and Liangpeng Li. 2025. "Model-Free Multi-Parameter Optimization Control for Electro-Hydraulic Servo Actuators with Time Delay Compensation" Actuators 14, no. 12: 617. https://doi.org/10.3390/act14120617

APA Style

Zheng, H., Xiong, H., Zhao, D., Ren, Y., Cao, S., Huang, Z., Hu, Z., Zhou, Z., Zhao, L., & Li, L. (2025). Model-Free Multi-Parameter Optimization Control for Electro-Hydraulic Servo Actuators with Time Delay Compensation. Actuators, 14(12), 617. https://doi.org/10.3390/act14120617

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