Time Delay Control for Robot Manipulators With Prescribed Performance
Abstract
This letter proposes a novel prescribed performance time delay control (PTDC) strategy for trajectory tracking in robot manipulators with uncertain dynamics. By integrating prescribed performance control (PPC) into the time delay control (TDC) framework, the proposed PTDC ensures prescribed performance, featuring bounded transient behavior with low overshoot and improved steady-state accuracy, without requiring detailed knowledge of system dynamics. The control algorithm features a simple structure, low computational overhead, and easy deployment on real-time robotic platforms. Lyapunov’s stability theory and Barbalat’s lemma are applied to rigorously prove global asymptotic stability and prescribed performance guarantees. Both simulations and SCARA robot experiments demonstrate that PTDC significantly outperforms existing TDC schemes in position tracking accuracy and transient performance.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Cites
Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance
Bechlioulis, C. P., & Rovithakis, G. A. (2008) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2008.929402 · Cited by 2,776 · see citing works
Jin, M., Lee, J., Chang, P. H., & Choi, C. (2009) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2009.2024097 · Cited by 428 · see citing works
Wang, Y., Gu, L., Xu, Y., & Cao, X. (2016) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2016.2569454 · Cited by 356 · see citing works
Robust independent joint controller design for industrial robot manipulators
Hsia, T. C., Lasky, T. A., & Guo, Z. (1991) · IEEE Transactions on Industrial Electronics · doi:10.1109/41.103479 · Cited by 241 · see citing works
Prescribed performance control approaches, applications and challenges: A comprehensive survey
Bu, X. (2022) · Asian Journal of Control · doi:10.1002/asjc.2765 · Cited by 195 · see citing works
Zhang, D., Hu, J., Cheng, J. S., Wu, Z., & Yan, H. (2024) · IEEE/CAA Journal of Automatica Sinica · doi:10.1109/jas.2023.123948 · Cited by 182 · see citing works
Proximate Fixed-Time Prescribed Performance Tracking Control of Uncertain Robot Manipulators
Yang, P. Q., & Su, Y. (2021) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2021.3107150 · Cited by 154 · see citing works
Self-citationAdaptive Neural Tracking Control for Manipulators With Prescribed Performance Under Input Saturation
Sun, Y., Liu, J., Gao, Y., Liu, Z., & Zhao, Y. (2022) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2022.3213441 · Cited by 127 · see citing works
Optimal Fully Actuated System Approach-Based Trajectory Tracking Control for Robot Manipulators
Tian, G., Tan, J. B., Li, B., & Duan, G. (2024) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2024.3467386 · Cited by 103 · see citing works
Wang, Y., Li, S., Wang, D., Ju, F., Chen, B., & Wu, H. (2020) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2020.2975473 · Cited by 100 · see citing works
Yang, P. Q., Su, Y., & Zhang, L. (2023) · Automatica · doi:10.1016/j.automatica.2023.111262 · Cited by 96 · see citing works
Self-citationAdaptive Fuzzy Fault Tolerant Control for Robot Manipulators With Fixed-Time Convergence
Van, M., Sun, Y., McIlvanna, S., Nguyen, M. N., Khyam, M. O., & Ceglarek, D. J. (2023) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2023.3247693 · Cited by 89 · see citing works
Adaptive Neural Trajectory Tracking Control for n-DOF Robotic Manipulators With State Constraints
Bao, D., Liang, X., Ge, S. S., & Hou, B. (2022) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2022.3215985 · Cited by 60 · see citing works
An Improved Adaptive Sliding Mode Control Based on Time-Delay Control for Robot Manipulators
Park, J., Kwon, W., & Park, P. (2022) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2022.3222616 · Cited by 59 · see citing works
Incremental Model Predictive Control Exploiting Time-Delay Estimation for a Robot Manipulator
Wang, Y., Leibold, M., Lee, J., Ye, W., Xie, J., & Buss, M. (2022) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2022.3142629 · Cited by 52 · cited 3× · see citing works
“While the introduction of the sliding mode surface helps reduce overshoots in position tracking errors [13], [14], [15], [16], [17], [18], none of these methods can proactively limit overshoots in advance.”
Time-Delay Sliding Mode Control for Trajectory Tracking of Robot Manipulators
Yang, J., Wang, Y., Wang, T., Hu, Z., Yang, X., & Rodriguez-Andina, J. J. (2024) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2024.3357875 · Cited by 48 · see citing works
Boudjedir, C. E., Bouri, M., & Boukhetala, D. (2022) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2022.3208491 · Cited by 40 · see citing works
Delay-Adaptive Control of a 7-DOF Robot Manipulator: Design and Experiments
Bertino, A., Naseradinmousavi, P., & Krstic, M. (2022) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2022.3152363 · Cited by 33 · see citing works
Liu, C., Zhao, K., Li, J., & Yang, C. (2025) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2025.3540777 · Cited by 31 · see citing works
Zeng, D., Jiang, Y., Wang, Y., Zhang, H., & Feng, Y. W. (2023) · IEEE Control Systems Letters · doi:10.1109/lcsys.2023.3329518 · Cited by 29 · see citing works
Self-citationCommunication-Efficient Event-Triggered Time-Delay Control and Its Application to Robot Manipulators
Baek, S., Lee, H.-W., & Han, S. (2021) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2021.3114696 · Cited by 25 · see citing works
Fixed-Time Inverse Dynamics Control for Robot Manipulators
Su, Y., & Zheng, C. (2019) · Journal of Dynamic Systems Measurement and Control · doi:10.1115/1.4042743 · Cited by 23 · see citing works
Adaptive control of robot manipulators with closed architecture
Wang, H., & Li, Y. (2024) · Automatica · doi:10.1016/j.automatica.2023.111040 · Cited by 21 · see citing works
Zhang, N., Zhang, F., Wang, J., Li, Y., Yang, C., Wang, C., & Li, K. (2025) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2025.3548994 · Cited by 19 · see citing works
Finite-Time Nonlinear H ∞ Control of Robot Manipulators With Prescribed Performance
Golestani, M., Chhabra, R., & Esmaeilzadeh, S. M. (2023) · IEEE Control Systems Letters · doi:10.1109/lcsys.2023.3241137 · Cited by 8 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- Slotine, 1991, Applied Nonlinear Control
Cited by
Still being checked.
- Authors
- Yang, P., Zhang, H., Meng, X., & Li, Q.
- Affiliations
- Zhejiang Sci-Tech University (CN)
- School of Data Science, The Chinese University of Hong Kong (Shenzhen), Shenzhen, China
- Venue
- IEEE Control Systems Letters
- Published
- 2025
- Volume
- 9
- Pages
- 2205-2210
- ISSN
- 2475-1456 (ISSN-L)
- OpenAlex
- W4413472020
- Semantic Scholar
- e3372005c0675db8a5fffad128deb0134af1ee0c
- Cited by
- 2
- References
- 25
- Citations by year
- 2026: 2
- FWCI
- 0.74
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Control Systems Letters (publishedVersion)
- Funders
- National Natural Science Foundation of China (U23A20615)
- Science Foundation of Zhejiang Sci-Tech University (24242210-Y)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Mechanical Engineering › Teleoperation and Haptic Systems
- Keywords
- time delay control, robot manipulators, prescribed performance control, trajectory tracking, uncertain dynamics, transient performance, overshoot reduction, global asymptotic stability, Barbalat's lemma, SCARA robot, location tracking
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