Chattering Analysis of an Optimized Sliding Mode Controller for an Electro-Hydraulic Actuator System

Chong Chee Soon, Rozaimi Ghazali, Muhamad Fadli Ghani, Chai Mau Shern, Yahaya Md. Sam, Zulfatman Has

Abstract


Wear and tear are usually caused by various factors, which reduce the life span of a mechanical part. In the control engineering of an Electrohydraulic actuator system, the wear and tear can be caused by the system or the controller itself. This article examines the chattering effect that occurs during the sliding mode controller (SMC) design, and its effect on the nonlinear electrohydraulic actuator (EHA) system. To examine the chattering phenomenon, signum function is first applied on the switching function of the SMC. Then, parameters of the controller are obtained using single objective particle swarm optimization (PSO) method. These parameters are then applied to the switching function with hyperbolic tangent function. Lastly, the performance of both functions is analysed and compared based on graph and numerical data. From the output data, chattering phenomenon generated on the signum function is greatly eliminated by using hyperbolic tangent function.

Keywords


sliding mode control; electro-hydraulic actuator (EHA); chattering analysis

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References


D. Zhang, D. Wang, Z. Xu, X. Zhang, Y. Yang, J. Guo, B. Zhang, and W. Zhao, “Diversiform sensors and sensing systems driven by triboelectric and piezoelectric nanogenerators,” Coord. Chem. Rev., vol. 427, pp. 1–15, 2021.

C. C. Soon, R. Ghazali, S. H. Chong, C. M. Shern, Y. M. Sam, and Z. Has, “Efficiency and performance of optimized robust controllers in hydraulic system,” Int. J. Adv. Comput. Sci. Appl., vol. 11, no. 6, pp. 385–391, 2020.

B. Guo, Z. Zhuang, J. S. Pan, and S. C. Chu, “Optimal Design and Simulation for PID Controller Using Fractional-Order Fish Migration Optimization Algorithm,” IEEE Access, vol. 9, pp. 8808–8819, 2021.

V. Bharath Kumar, G. Charan, and Y. V. Pavan Kumar, Design of robust pid controller for improving voltage response of a cuk converter, vol. 661. Springer Singapore, 2021.

H. V. Puchta, Erickson Diogo Pereira and Bassetto, Priscilla and Biuk, Lucas Henrique and Itaborahy Filho, Marco Antonio and Converti, Attilio and Kaster, Mauricio dos Santos and Siqueira, “Swarm-Inspired Algorithms to Optimize a Nonlinear Gaussian Adaptive PID Controller,” Energies, vol. 14, no. 12, pp. 1–20, 2021.

S. Ahmad, S. Ali, and R. Tabasha, “The design and implementation of a fuzzy gain-scheduled PID controller for the Festo MPS PA compact workstation liquid level control,” Eng. Sci. Technol. an Int. J., vol. 23, no. 2, pp. 307–315, 2020.

M. M. Gani, M. S. Islam, and M. A. Ullah, “Optimal PID tuning for controlling the temperature of electric furnace by genetic algorithm,” SN Appl. Sci., vol. 1, no. 8, pp. 1–8, 2019.

Y. G. Sun, J. Q. Xu, C. Chen, and G. Bin Lin, “Fuzzy H∞ robust control for magnetic levitation system of maglev vehicles based on T-S fuzzy model: Design and experiments,” J. Intell. Fuzzy Syst., vol. 36, no. 2, pp. 911–922, 2019.

A. Das, U. K. Bera, and M. Maiti, “A solid transportation problem in uncertain environment involving type-2 fuzzy variable,” Neural Comput. Appl., vol. 31, no. 9, pp. 4903–4927, 2019.

A. K. Mishra, S. Das, and V. K. Yadav, “Finite-time synchronization of multi-scroll chaotic systems with sigmoid non-linearity and uncertain terms,” Chinese J. Phys., pp. 1–11, 2020.

X. Yang, X. Zhang, S. Xu, Y. Ding, K. Zhu, and P. X. Liu, “An approach to the dynamics and control of uncertain robot manipulators,” Algorithms, vol. 12, no. 3, pp. 1–11, 2019.

C. C. Soon, R. Ghazali, S. H. Chong, C. M. Shern, Y. M. Sam, and A. A. Yusof, “Comparison of Fractional Order PID Controller and Sliding Mode Controller with Computational Tuning Algorithm,” Univers. J. Electr. Electron. Eng., vol. 6, no. 4, pp. 181–190, 2019.

C. C. Soon, R. Ghazali, C. S. Horng, C. M. Shern, Y. Sam, and A. A. Yusof, “Controllers Capabilities with Computational Tuning Algorithm in Nonlinear Electro-Hydraulic Actuator System,” J. Adv. Res. Fluid Mech. Therm. Sci., vol. 52, no. 2, pp. 148–160, 2018.

H. Maghfiroh, C. Hermanu, M. H. Ibrahim, M. Anwar, and A. Ramelan, “Hybrid fuzzy-PID like optimal control to reduce energy consumption,” Telkomnika (Telecommunication Comput. Electron. Control., vol. 18, no. 4, pp. 2053–2061, 2020.

S. Mohammed, C. C. Soon, R. Ghazali, A. A. Yusof, Y. Md Sam, and C. Mau Shern, “An Electro-Hydraulic Servo with Intelligent Control Strategy,” in MATEC Web of Conferences, 2018, vol. 150, pp. 1–5.

J. Li, J. Wang, H. Peng, Y. Hu, and H. Su, “Fuzzy-Torque Approximation-Enhanced Sliding Mode Control for Lateral Stability of Mobile Robot,” IEEE Trans. Syst. Man, Cybern. Syst., pp. 1–10, 2021.

Y. Xie, X. Zhang, W. Meng, S. Zheng, L. Jiang, J. Meng, and S. Wang, “Coupled fractional-order sliding mode control and obstacle avoidance of a four-wheeled steerable mobile robot,” ISA Trans., vol. 108, pp. 282–294, 2021.

S. Jung, “Improvement of Tracking Control of a Sliding Mode Controller for Robot Manipulators by a Neural Network,” Int. J. Control. Autom. Syst., vol. 16, no. 2, pp. 937–943, 2018.

A. Ma’arif and A. Çakan, “Simulation and arduino hardware implementation of dc motor control using sliding mode controller,” J. Robot. Control, vol. 2, no. 6, pp. 582–587, 2021.

V. Nekoukar and N. Mahdian Dehkordi, “Robust path tracking of a quadrotor using adaptive fuzzy terminal sliding mode control,” Control Eng. Pract., vol. 110, no. 6, pp. 1–11, 2021.

H. Hassani, A. Mansouri, and A. Ahaitouf, “Robust autonomous flight for quadrotor UAV based on adaptive nonsingular fast terminal sliding mode control,” Int. J. Dyn. Control, vol. 110, pp. 1–17, 2020.

K. B. Devika and S. Thomas, “Improved reaching law-based sliding mode controller for free flight autopilot system,” Int. J. Autom. Control, vol. 12, no. 3, pp. 361–380, 2018.

A. Ş. Kaya and M. Z. Bilgin, “Output feedback control surface positioning with a high-order sliding mode controller/estimator: An experimental study on a hydraulic flight actuation system,” J. Dyn. Syst. Meas. Control. Trans. ASME, vol. 141, no. 1, pp. 1–40, 2019.

Z. Xu, Z. Wang, Z. Shen, and Y. Sun, “Nonlinear differential and integral sliding mode control for wave compensation system of ship-borne manipulator,” Meas. Control (United Kingdom), vol. 54, no. 5–6, pp. 711–723, 2021.

Y. Cai, S. Zheng, W. Liu, Z. Qu, J. Zhu, and J. Han, “Sliding-mode control of ship-mounted Stewart platforms for wave compensation using velocity feedforward,” Ocean Eng., vol. 236, no. 7, pp. 1–11, 2021.

M. Ejaz and M. Chen, “Sliding mode control design of a ship steering autopilot with input saturation,” Int. J. Adv. Robot. Syst., vol. 14, no. 3, pp. 1–13, 2017.

T. Li, R. Zhao, C. L. P. Chen, L. Fang, and C. Liu, “Finite-time formation control of under-actuated ships using nonlinear sliding mode control,” IEEE Trans. Cybern., vol. 48, no. 11, pp. 3243–3253, 2018.

X. Zhou and X. Li, “Trajectory tracking control for electro-optical tracking system using eso based fractional- order sliding mode control,” IEEE Access, vol. 9, pp. 45891–45902, 2021.

Y. Pan, C. Yang, L. Pan, and H. Yu, “Integral Sliding Mode Control: Performance, Modification, and Improvement,” IEEE Trans. Ind. Informatics, vol. 14, no. 7, pp. 3087–3096, 2018.

C. C. Soon, R. Ghazali, H. I. Jaafar, S. Y. S. Hussien, S. M. Rozali, and M. Z. A. Rashid, “Optimization of Sliding Mode Control using Particle Swarm Algorithm for an Electro-Hydraulic Actuator System,” J. Telecommun. Electron. Comput. Eng., vol. 8, no. 7, pp. 71–76, 2016.

R. Ghazali, Y. M. Sam, M. F. Rahmat, C. C. Soon, H. I. Jaafar, and Zulfatman, “Discrete Sliding Mode Control for a Non-Minimum Phase Electro-Hydraulic Actuator system,” in 2015 10th Asian Control Conference (ASCC), 2015, pp. 1–6.

C. C. Soon, R. Ghazali, H. I. Jaafar, and S. M. Hussein, Syarifah Yuslinda Syed Rozali, “Robustness Analysis of an Optimized Controller via Particle Swarm Algorithm,” Adv. Sci. Lett., vol. 23, no. 11, pp. 11187–11191, 2017.

M. Kalyoncu and M. Haydim, “Mathematical Modelling and Fuzzy Logic based Position Control of an Electrohydraulic Servosystem with Internal Leakage,” Mechatronics, vol. 19, no. 6, pp. 847–858, 2009.

H. Xu, F. Fan, H. Zhang, Z. Le, and J. Huang, “A Deep Model for Multi-Focus Image Fusion Based on Gradients and Connected Regions,” IEEE Access, vol. 8, pp. 26316–26327, 2020.

I. Eker, “Second-order Sliding Mode Control with Experimental Application,” ISA Trans., vol. 49, no. 3, pp. 394–405, 2010.




DOI: https://doi.org/10.18196/jrc.v3i2.13671

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