Backstepping-Sliding-Mode-Based Neural Network Control for Electro-Hydraulic Actuator Subject to Completely Unknown System Dynamics
Abstract
Requirements of the system dynamics and unknown disturbance and uncertainty suppression bring certain challenges in developing advanced control algorithms for electro-hydraulic actuators (EHAs). Usually, radial basis function neural network (RBFNN) is employed to address unknown nonlinear dynamics; however, traditional approaches require more effort in adopting multi-estimated parameters when designing adaptive laws, especially in the case of completely unknown system dynamics. Hence, this paper proposes a novel adaptive neural network control, based on the backstepping control (BSC) framework, to compensate for unknown system dynamics and also to reduce the problem of the multi-estimated parameters based on the norm estimation technique. To facilitate the proposed control implementation, a new system transformation is first expressed in such a way that the same key properties as the original system are upheld. Besides, extended state observers (ESOs) are employed to fundamentally address the redundant remaining dynamics of unknown terms, disturbance, and uncertainty. In addition, the command filter (CF) technique is also involved to deal with the explosion complexity in the BSC design. The stability of the closed-loop system and the effectiveness of the proposed controller are theoretically guaranteed via mathematical proof with comparative experiments.Note to Practitioners—This article was motivated by the shortcomings of the published works in addressing the problem of completely unknown system dynamics for Electro-hydraulic Actuators subject to disturbances and unstructured uncertainties. To overcome these concerns, an approximation technique for the dynamical behavior compensation and extended state observers for the disturbances and uncertainties suppression have been carried out in such a new way that reduces a number of estimated parameters compared to the conventional approximation mechanism. Moreover, this new-way approximation also facilitates a combination of the command-filter technique to cope with the complexity explosion issue, which always exists when employing the backstepping control scheme to guarantee the closed-loop system stability. From the derived control strategy and with good experimental results, this proposed method can be considered a premise to expand to other topics in the field of automatically controlled systems and contributes to broad interest in both academic and industrial applications of system modeling and dealing with unexpected impacts.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Control algorithms using fuzzy logic systems or neural networks are usually computationally expensive because FLS relies on expert knowledge rules and NN requires online learning or offline training.
“However, the control algorithms using FLS/NN are usually computationally expensive, since FLS relies heavily on the knowledge rules of expert and NN requires either online learning or offline training procedures to make the controller perform properly.”
From Compensation Function Observer-Based Backstepping Sliding-Mode Control of Uncertain Electro-Hydraulic Servo System (2024) · cites this paper as [26]
Cites
Finite-time command filtered backstepping control for a class of nonlinear systems
Yu, J., Shi, P. J., & Zhao, L. H. (2018) · Automatica · doi:10.1016/j.automatica.2018.03.033 · Cited by 881 · see citing works
Yao, J., Jiao, Z., & Ma, D. (2014) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2014.2304912 · Cited by 707 · see citing works
Adaptive Fuzzy Tracking Control Design for SISO Uncertain Nonstrict Feedback Nonlinear Systems
Tong, S., Li, Y., & Sui, S. (2016) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2016.2540058 · Cited by 491 · see citing works
Active Disturbance Rejection Adaptive Control of Hydraulic Servo Systems
Yao, J., & Deng, W. (2017) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2017.2694382 · Cited by 422 · see citing works
Adaptive neural control for a class of stochastic nonlinear systems by backstepping approach
Sun, Y., Chen, B., Lin, C., Wang, H., & Zhou, S. (2016) · Information Sciences · doi:10.1016/j.ins.2016.06.010 · Cited by 304 · see citing works
Wang, H., Xu, K. W., & Qiu, J. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3073024 · Cited by 284 · see citing works
Deng, W., & Yao, J. (2019) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2019.2959297 · Cited by 278 · see citing works
Zhou, Q. F., Li, H., Wang, L., & Lu, R. (2017) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2017.2738155 · Cited by 270 · see citing works
Qiu, J., Sun, K., Rudas, I. J., & Gao, H. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2944761 · Cited by 251 · see citing works
Li, S., Ahn, C. K., & Xiang, Z. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.2965917 · Cited by 251 · see citing works
Adaptive RISE Control of Hydraulic Systems With Multilayer Neural-Networks
Yao, Z., Yao, J., & Sun, W. (2018) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2018.2886773 · Cited by 226 · see citing works
Sun, K., Qiu, J., Karimi, H. R., & Gao, H. (2019) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2019.2958072 · Cited by 203 · see citing works
Command Filter-Based Adaptive Fuzzy Control for Nonlinear Systems With Unknown Control Directions
Xia, J., Zhang, J., Feng, J., Wang, Z., & Zhuang, G. (2019) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2019.2911115 · Cited by 189 · see citing works
Sun, J., Yi, J., & Pu, Z. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2021.3052610 · Cited by 184 · see citing works
Adaptive Fuzzy Fast Finite-Time Dynamic Surface Tracking Control for Nonlinear Systems
Wang, H., Xu, K. W., Liu, P. X., & Qiao, J. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3098830 · Cited by 160 · see citing works
Tran, D. T., Ba, D. X., & Ahn, K. K. (2019) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2019.2918475 · Cited by 115 · see citing works
Adaptive Neural Dynamic Surface Control for Nonstrict-Feedback Systems With Output Dead Zone
Shi, X., Lim, C., Shi, P. J., et al. (2018) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2018.2793968 · Cited by 111 · see citing works
Ni, J., Wu, Z., Liu, L., & Liu, C. (2020) · ISA Transactions · doi:10.1016/j.isatra.2019.07.013 · Cited by 105 · see citing works
Won, D., Kim, W., & Tomizuka, M. (2020) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2020.2985619 · Cited by 101 · see citing works
Tran, M.-D., & Kang, H. (2016) · Neurocomputing · doi:10.1016/j.neucom.2016.09.089 · Cited by 99 · see citing works
Ali, S. A., Arnaud, C., Begg, S. M., & Langlois, N. (2016) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2016.2531022 · Cited by 81 · see citing works
Yang, X., Zheng, X., & Chen, Y. (2017) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2017.2746142 · Cited by 80 · see citing works
Liu, Y., Zhang, H., Wang, Y., & Sun, S. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.2965908 · Cited by 80 · see citing works
Ma, L., & Liu, L. (2021) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2019.2922393 · Cited by 79 · see citing works
Liu, J., Niu, B., Kao, Y., Zhao, P., & Yang, D. (2020) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2020.3015847 · Cited by 77 · see citing works
Dinh, T. X., Thien, T. D., Anh, T. H. V., & Ahn, K. K. (2018) · IEEE Access · doi:10.1109/access.2018.2848240 · Cited by 72 · see citing works
Phan, V. D., Truong, H. V. A., & Ahn, K. K. (2023) · ISA Transactions · doi:10.1016/j.isatra.2022.08.023 · Cited by 66 · see citing works
Self-citationSun, W., Li-ping, W., & Wu, Y. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.2969289 · Cited by 62 · see citing works
Research on Robust Model Predictive Control for Electro-Hydraulic Servo Active Suspension Systems
Wang, D., Zhao, D., Gong, M., & Yang, B. (2017) · IEEE Access · doi:10.1109/access.2017.2787663 · Cited by 61 · see citing works
Phan, V. D., & Ahn, K. K. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08364-3 · Cited by 58 · cited 2× · see citing works
“The reason is because the modeling of g 3 mainly depends on the hydraulic dynamics [18], [19] such as pipeline length, gradient cross-section areas of two chambers, total volumes, pressure supply, valve coefficient, and other hydraulic setups which were not changed during two case studies.”
BackgroundResultBi, W., & Wang, T. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.2997703 · Cited by 57 · see citing works
Truong, H. V. A., Tran, D. T., To, X. D., Ahn, K. K., & Jin, M. (2019) · Applied Sciences · doi:10.3390/app9163290 · Cited by 56 · see citing works
Self-citationNguyen, M. H., Dao, H. V., & Ahn, K. K. (2022) · Applied Sciences · doi:10.3390/app12020794 · Cited by 51 · see citing works
Nguyen, M. H., Dao, H. V., & Ahn, K. K. (2023) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.6421 · Cited by 48 · see citing works
Extended Sliding Mode Observer-Based Admittance Control for Hydraulic Robots
Dao, H. V., & Ahn, K. K. (2022) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2022.3147244 · Cited by 40 · see citing works
Tran, D. T., Truong, H. V. A., & Ahn, K. K. (2019) · Applied Sciences · doi:10.3390/app9061265 · Cited by 40 · see citing works
Self-citationDao, H. V., Tran, D. T., & Ahn, K. K. (2021) · IEEE Access · doi:10.1109/access.2021.3053596 · Cited by 39 · see citing works
Han, S.-H., Tran, M. S., & Tran, D. T. (2021) · Applied Sciences · doi:10.3390/app11093919 · Cited by 34 · see citing works
Liu, S., Hao, R., Zhao, D., & Tian, Z. (2020) · IEEE Access · doi:10.1109/access.2020.3018442 · Cited by 32 · see citing works
Cheng, L., Zhu, Z., Shen, G., Wang, S., Li, X., & Tang, Y. (2019) · IEEE Access · doi:10.1109/access.2019.2895595 · Cited by 31 · see citing works
Lee, W., Yoo, S., Nam, S., Kim, K., & Chung, W. K. (2020) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2020.2975724 · Cited by 29 · see citing works
Self-citationParallel Velocity Control of an Electro-Hydraulic Actuator With Dual Disturbance Observers
Li, M., Shi, W., Wei, J., Fang, J., Guo, K., & Zhang, Q. (2019) · IEEE Access · doi:10.1109/access.2019.2911658 · Cited by 26 · see citing works
Cao, B., Nie, X., Wu, Z., Xue, C., & Cao, J. (2021) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2021.07.020 · Cited by 25 · see citing works
Disturbance-Observer-Based Compliance Control of Electro-Hydraulic Actuators With Backdrivability
Lee, W., & Chung, W. K. (2019) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2019.2897178 · Cited by 22 · see citing works
Self-citationOverpressure Compensation for Hydraulic Hybrid Servo Booster Applied to Hydraulic Manipulator
Hyon, S.-H., Taniai, Y., Hiranuma, K., et al. (2019) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2019.2894868 · Cited by 21 · see citing works
Impedance Control of Hydraulic Actuation Systems With Inherent Backdrivability
Yoo, S., Lee, W., & Chung, W. K. (2019) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2019.2932132 · Cited by 20 · see citing works
Self-citationFuzzy Finite Memory State Estimation for Electro-Hydraulic Active Suspension Systems
Choi, H. D., & You, S. H. (2021) · IEEE Access · doi:10.1109/access.2021.3096184 · Cited by 19 · see citing works
Truong, H. V. A., Trinh, H.-A., Tran, D. T., & Ahn, K. K. (2021) · IEEE Access · doi:10.1109/access.2021.3087505 · Cited by 18 · see citing works
Self-citationDu, M., Zhao, D., Ni, T., et al. (2020) · IEEE Access · doi:10.1109/access.2020.3008734 · Cited by 17 · see citing works
Modal Space Feedforward Control for Electro-Hydraulic Parallel Mechanism
Shen, G., Li, G., Zang, W., et al. (2019) · IEEE Access · doi:10.1109/access.2019.2905650 · Cited by 15 · see citing works
Huang, J., An, H., Lang, L., et al. (2020) · IEEE Access · doi:10.1109/access.2020.2974984 · Cited by 15 · see citing works
Nam, S., Lee, W., Yoo, S., et al. (2020) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2020.2975728 · Cited by 6 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
Pan, C., Wang, Y., Yang, S. X., Li, Z., & Xiao, J. (2024) · Machines · doi:10.3390/machines12100719 · Cited by 16 · see citing works
- Authors
- Truong, H. V. A., Nam, S., Kim, S., Kim, Y., & Chung, W. K.
- Affiliations
- Pohang University of Science and Technology (KR)
- Department of Mechanical Engineering, Pohang University of Science and Technology (POSTECH), Gyeongbuk, South Korea
- Venue
- IEEE Transactions on Automation Science and Engineering
- Published
- 2024-10
- Volume
- 21
- Issue
- 4
- Pages
- 6202-6216
- ISSN
- 1545-5955 (ISSN-L)
- 1558-3783
- OpenAlex
- W4387682224
- Cited by
- 39
- References
- 52
- Citations by year
- 2026: 18 · 2025: 12 · 2024: 9
- FWCI
- 4.19
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Automation Science and Engineering (publishedVersion)
- Funders
- Basic Science Research Program through the National Research Foundation of Korea
- Ministry of Education (2020R1I1A2074953)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Mechanical Engineering › Hydraulic and Pneumatic Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Piezoelectric Actuators and Control
- Keywords
- electro-hydraulic actuator, backstepping control, sliding mode control, adaptive neural network control, radial basis function neural network, extended state observer, command filter, explosion of complexity, unknown dynamics, norm estimation, closed-loop stability
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review