Predefined-Time Precise Tracking of Uncertain MIMO Nonlinear Systems With Time-Varying Input Delay
Abstract
This paper investigates the adaptive predefined-time (PT) precise tracking control for uncertain nonlinear multi-input multi-output (MIMO) systems with time-varying input delay. Precise tracking in uncertain MIMO nonlinear systems is particularly challenging, especially when uncertainties include unknown control directions, nonlinear functions, and external disturbances. This paper extends the existing methods that typically require specific controllability conditions by proposing a novel PT precise tracking control scheme for more general MIMO strict-feedback nonlinear systems. This approach introduces an L-K functional containing positive definite time-varying function matrices, combines bounded estimation techniques with the backstepping method, and incorporates auxiliary signals to compensate for the effects of time-varying input delay. The proposed scheme ensures the boundedness of all closed-loop system signals and provides a rigorous proof that the auxiliary signals are also bounded, while guaranteeing that the tracking error converges to origin within the predefined time. Finally, the proposed PT control scheme is verified by two numerical simulation examples.
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Cites
Bechlioulis, C. P., & Rovithakis, G. A. (2008) · Automatica · doi:10.1016/j.automatica.2008.08.012 · Cited by 1,058 · see citing works
Tong, S., Sui, S., & Li, Y. (2014) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2014.2327987 · Cited by 558 · see citing works
Ni, J., Liu, L., Liu, C., Hu, X., & Li, S. (2016) · IEEE Transactions on Circuits & Systems II Express Briefs · doi:10.1109/tcsii.2016.2551539 · Cited by 370 · see citing works
Observer-Based Dynamic Event-Triggered Control for Multiagent Systems With Time-Varying Delay
Cao, L., Pan, Y., Liang, H., & Huang, T. (2023) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2022.3226873 · Cited by 334 · see citing works
A dynamic high-gain design for prescribed-time regulation of nonlinear systems
Krishnamurthy, P., Khorrami, F., & Krstić, M. (2020) · Automatica · doi:10.1016/j.automatica.2020.108860 · Cited by 295 · 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
Adaptive Finite-Time Fuzzy Control of Nonlinear Active Suspension Systems With Input Delay
Na, J., Huang, Y., Wu, X. F., Su, S., & Li, G. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2894724 · Cited by 236 · see citing works
Distributed Adaptive Neural Control for Stochastic Nonlinear Multiagent Systems
Wang, F., Chen, B., Lin, C., & Li, X. (2016) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2016.2623898 · Cited by 235 · see citing works
Command Filter-Based Predefined Time Adaptive Control for Nonlinear Systems
Sui, S., Chen, C. L. P., & Tong, S. (2024) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2024.3399998 · Cited by 207 · see citing works
Fixed-Time Fuzzy Control for a Class of Nonlinear Systems
Sun, Y., Wang, F., Liu, Z., Zhang, Y., & Chen, C. L. P. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.3018695 · Cited by 197 · see citing works
Ni, J., & Shi, P. J. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.2994808 · Cited by 190 · see citing works
Sui, S., Chen, C. L. P., & Tong, S. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.2988849 · Cited by 188 · see citing works
A Novel Full Errors Fixed-Time Control for Constraint Nonlinear Systems
Sui, S., Chen, C. L. P., & Tong, S. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3200962 · Cited by 184 · see citing works
Adaptive Finite-Time Attitude Tracking of Quadrotors With Experiments and Comparisons
Tian, B., Cui, J., Lu, H., et al. (2019) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2019.2892698 · Cited by 167 · see citing works
Prescribed-Time Tracking Control of MIMO Nonlinear Systems With Nonvanishing Uncertainties
Ye, H., & Song, Y. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3194100 · Cited by 164 · see citing works
Zhao, K., Song, Y., & Shen, Z. (2016) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2016.2619914 · Cited by 160 · see citing works
Predefined-Time Adaptive Fuzzy Control for a Class of Nonlinear Systems With Output Hysteresis
Zhang, Y., Chadli, M., & Xiang, Z. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2022.3228012 · Cited by 139 · see citing works
Dimanidis, I. S., Bechlioulis, C. P., & Rovithakis, G. A. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.2970003 · Cited by 125 · see citing works
Low-Complexity Prescribed Performance Control of Uncertain MIMO Feedback Linearizable Systems
Theodorakopoulos, A., & Rovithakis, G. A. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2480232 · Cited by 123 · see citing works
Predefined-Time Attitude Stabilization of Receiver Aircraft in Aerial Refueling
Wu, C., Yan, J., Shen, J., Wu, X., & Xiao, B. (2021) · IEEE Transactions on Circuits & Systems II Express Briefs · doi:10.1109/tcsii.2021.3067695 · Cited by 122 · see citing works
Unknown time-varying input delay compensation for uncertain nonlinear systems
Obuz, S., Klotz, J. R., Kamalapurkar, R., & Dixon, W. E. (2016) · Automatica · doi:10.1016/j.automatica.2016.09.030 · Cited by 120 · see citing works
Yu, D., Chen, C. L. P., & Xu, H. (2021) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.3048733 · Cited by 115 · see citing works
Zhang, J., Li, S., Ahn, C. K., & Xiang, Z. (2021) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2021.3066297 · Cited by 115 · see citing works
Katsoukis, I., & Rovithakis, G. A. (2021) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2021.3096803 · Cited by 114 · see citing works
Predefined-time stabilisation of a class of nonholonomic systems
Sánchez‐Torres, J. D., Defoort, M., & Muñoz‐Vázquez, A. J. (2019) · International Journal of Control · doi:10.1080/00207179.2019.1569262 · Cited by 109 · see citing works
Guo, C., Hu, J., Wu, Y., et al. (2023) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2023.3291700 · Cited by 103 · see citing works
Bikas, L. N., & Rovithakis, G. A. (2018) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2018.2847458 · Cited by 95 · see citing works
Adaptive Practical Fixed-Time Tracking Control With Prescribed Boundary Constraints
Chen, M., Wang, H., & Liu, X. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3051076 · Cited by 80 · see citing works
Huang, X., & Song, Y. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3174037 · Cited by 75 · see citing works
Practically Predefined-Time Adaptive Fuzzy Tracking Control for Nonlinear Stochastic Systems
Zhang, T., Su, S., Wei, W., & Yeh, R.-H. (2023) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2023.3272581 · Cited by 73 · see citing works
Zhang, Q., & Dong, J. (2019) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2019.06.014 · Cited by 65 · see citing works
Shi, W., Hou, M., & Duan, G. (2022) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2022.3201200 · Cited by 64 · see citing works
Xu, K. W., Wang, H., & Liu, P. X. (2023) · IEEE Transactions on Circuits & Systems II Express Briefs · doi:10.1109/tcsii.2023.3327406 · Cited by 64 · see citing works
Zhang, Y., Niu, B., Zhao, X., Duan, P., Wang, H., & Gao, B. (2021) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3135582 · Cited by 61 · see citing works
Huang, X., Wen, C., & Song, Y. (2022) · Automatica · doi:10.1016/j.automatica.2022.110701 · Cited by 60 · see citing works
Zhang, L., Wei, C., Jing, L., et al. (2018) · Nonlinear Dynamics · doi:10.1007/s11071-018-4341-8 · Cited by 55 · see citing works
Ma, J., Xu, S., Zhuang, G., Wei, Y., & Zhang, Z. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4887 · Cited by 54 · see citing works
Self-citationZhang, Z., Dong, Y., & Duan, G. (2023) · Automatica · doi:10.1016/j.automatica.2023.111345 · Cited by 54 · see citing works
Adaptive Control of Time-Varying Parameter Systems With Asymptotic Tracking
Patil, O. S., Sun, R., Bhasin, S., et al. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3161388 · Cited by 49 · see citing works
Output feedback performance recovery in the presence of uncertainties
Lee, J., Mukherjee, R., & Khalil, H. K. (2016) · Systems & Control Letters · doi:10.1016/j.sysconle.2015.10.016 · Cited by 47 · see citing works
He, C., & Huang, J. (2021) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2021.3055192 · Cited by 47 · see citing works
Song, J., Chen, Y., Liu, Y., & Zhang, L. (2023) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2023.3285220 · Cited by 47 · see citing works
Prescribed Performance Tracking of Uncertain MIMO Nonlinear Systems in the Presence of Delays
Bikas, L. N., & Rovithakis, G. A. (2021) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2021.3135276 · Cited by 45 · see citing works
Zhou, B., Huang, X., Song, Y., & Lewis, F. L. (2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2023.3343388 · Cited by 44 · see citing works
Sargolzaei, A., Zegers, F. M., Abbaspour, A., et al. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3154354 · Cited by 39 · see citing works
Low-Cost Adaptive Fault-Tolerant Approach for Semiactive Suspension Control of High-Speed Trains
Song, Y., & Yuan, X. (2016) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2016.2582788 · Cited by 37 · see citing works
Zhou, Y., Wang, X., & Xu, R. L. (2021) · Neural Networks · doi:10.1016/j.neunet.2021.12.006 · Cited by 36 · see citing works
Fixed-time tracking control for high-order nonlinear systems with unknown time-varying input delay
Zhai, J., Wang, H., & He, Z. (2023) · Applied Mathematics and Computation · doi:10.1016/j.amc.2023.128027 · Cited by 25 · see citing works
Ning, P., Hua, C., Li, K., et al. (2022) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2022.3184850 · Cited by 24 · see citing works
Lu, Y., Liu, W., & Ma, B. (2022) · IEEE Transactions on Circuits & Systems II Express Briefs · doi:10.1109/tcsii.2022.3187409 · Cited by 20 · see citing works
Yang, X., Ge, Y., Deng, W., & Yao, J. (2022) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.6545 · Cited by 18 · see citing works
Zhang, S., Wang, X., & Zhou, Y. (2023) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2023.114163 · Cited by 14 · see citing works
Constrained fast finite‐time exact tracking for disturbed nonlinear systems
Chen, X., Zheng, S., Ahn, C. K., et al. (2022) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.6037 · Cited by 11 · see citing works
Ma, J., Park, J. H., & Xu, S. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5204 · Cited by 10 · see citing works
Self-citationYue, H., & Gong, C. (2022) · Journal of low frequency noise, vibration and active control · doi:10.1177/14613484211045761 · Cited by 10 · see citing works
Adaptive tracking control for stochastic nonlinear systems with asymmetric full state constraints
Peng, Y., Xu, S., & Zhang, Z. (2023) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.7011 · Cited by 8 · see citing works
Self-citationZhou, B., Huang, X., & Song, Y. (2022) · arXiv (Cornell University) · doi:10.48550/arxiv.2208.01822 · Cited by 4 · see citing works
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- Authors
- Hua, Z., & Xu, S.
- Affiliations
- Nanjing University of Science and Technology (CN)
- Venue
- IEEE Transactions on Circuits and Systems I: Regular Papers
- Published
- 2025-09
- Volume
- 72
- Issue
- 9
- Pages
- 4994-5004
- ISSN
- 1549-8328 (ISSN-L)
- 1558-0806
- OpenAlex
- W4405974336
- Semantic Scholar
- a14f9996c94fffc385ac1548e8a793c8da924e8d
- Cited by
- 9
- References
- 57
- Citations by year
- 2026: 6 · 2025: 3
- FWCI
- 3.51
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Circuits and Systems I Regular Papers (publishedVersion)
- Funders
- National Natural Science Foundation of China (62221004, 62073166)
- 333 Project
- 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 › Computer Science › Computer Networks and Communications › Neural Networks Stability and Synchronization
- Keywords
- predefined-time control, MIMO nonlinear systems, time-varying input delay, strict-feedback systems, unknown control direction, external disturbances, backstepping control, auxiliary signals, adaptive control, closed-loop boundedness
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