Observer-Based Dynamic Event-Triggered Control for Multiagent Systems With Time-Varying Delay
Abstract
This article is concerned with the dynamic event-triggered-based adaptive output-feedback tracking control problem of nonlinear multiagent systems with time-varying input delay. By utilizing the approximation capability of neural network (NN), a low-gain nonlinear observer is first established to estimate the immeasurable states. To mitigate the effect of time-varying input delay, an auxiliary system with communication information is designed to generate the compensation signals. Then, a distributed adaptive composite NN dynamic surface control (DSC) strategy is proposed to acquire the satisfactory tracking accuracy, where the filter errors are compensated by the introduced serial-parallel estimation model. Moreover, an effective switching dynamic event-triggered mechanism is developed to determine the communication instants and reduce the update frequency of the controller. It is proven that the consensus tracking error converges to a residual set of the origin. Finally, simulation results are presented to demonstrate the effectiveness of the proposed composite NN DSC scheme.
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Cites
Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks
Tabuada, P. (2007) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.904277 · Cited by 4,732 · see citing works
Distributed event-triggered control for multi-agent systems
Dimarogonas, D. V., Frazzoli, E., & Johansson, K. H. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2174666 · Cited by 2,556 · see citing works
Event-Triggered Adaptive Control for a Class of Uncertain Nonlinear Systems
Xing, L., Wen, C., Liu, Z., Su, H., & Cai, J. (2016) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2016.2594204 · Cited by 1,587 · see citing works
An Overview of Recent Advances in Event-Triggered Consensus of Multiagent Systems
Ding, L., Han, Q., Ge, X., & Zhang, X. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2771560 · Cited by 1,191 · see citing works
Command Filtered Adaptive Backstepping
Dong, W., Farrell, J. A., Polycarpou, M. M., Djapic, V., & Sharma, M. K. (2011) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2011.2121907 · Cited by 852 · see citing works
Event-Based Finite-Time Control for Nonlinear Multiagent Systems With Asymptotic Tracking
Li, Y., Li, Y., & Tong, S. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3197562 · Cited by 474 · see citing works
Pan, Y., Wu, Y., & Lam, H. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2022.3148875 · Cited by 473 · see citing works
Self-citationLi, Y., Qu, F., & Tong, S. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.2970454 · Cited by 448 · see citing works
Yu, J., Shi, P. J., Dong, W., et al. (2015) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2015.2418317 · Cited by 427 · see citing works
Wang, W., Wen, C., & Huang, J. (2017) · Automatica · doi:10.1016/j.automatica.2016.11.019 · Cited by 411 · see citing works
Wen, G., Chen, C. L. P., Liu, Y., et al. (2016) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2016.2608499 · Cited by 388 · see citing works
Xu, B., Shi, Z., Yang, C., & Sun, F. (2014) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2014.2311824 · Cited by 376 · see citing works
Attitude Synchronization of a Group of Spacecraft Without Velocity Measurements
Abdessameud, A., & Tayebi, A. (2009) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2009.2031567 · Cited by 305 · see citing works
A Survey on Intelligent Control for Multiagent Systems
Shi, P. J., & Yan, B. C. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.3042823 · Cited by 276 · see citing works
Huang, J., Wang, W., Wen, C., et al. (2019) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2019.2912517 · Cited by 251 · see citing works
Adaptive Event-Triggered Control of Uncertain Nonlinear Systems Using Intermittent Output Only
Zhang, Z., Wen, C., Xing, L., et al. (2021) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2021.3115435 · Cited by 240 · see citing works
Yao, D., Li, H., & Shi, Y. (2022) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2022.3172127 · Cited by 197 · see citing works
Event-Triggered Adaptive Attitude Tracking Control for Spacecraft With Unknown Actuator Faults
Wang, C., Guo, L., Wen, C., et al. (2019) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2019.2905837 · Cited by 193 · see citing works
Wang, L., & Chen, C. L. P. (2020) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2020.2986281 · Cited by 179 · see citing works
Distributed Adaptive Fixed-Time Robust Platoon Control for Fully Heterogeneous Vehicles
Liu, Y., Yao, D., Wang, L., et al. (2022) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2022.3179444 · Cited by 175 · see citing works
Model-based event-triggered control with time-varying network delays
García, E., & Antsaklis, P. J. (2011) · doi:10.1109/cdc.2011.6160257 · Cited by 155 · see citing works
Adaptive Fuzzy Event-Triggered Command-Filtered Control for Nonlinear Time-Delay Systems
Li, M., Li, S., Ahn, C. K., & Xiang, Z. (2021) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2021.3052095 · Cited by 149 · see citing works
Weak Convergence of Nonlinear High-Gain Tracking Differentiator
Guo, B., & Zhao, Z. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2218153 · Cited by 141 · see citing works
Human-in-the-Loop Control of a Wearable Lower Limb Exoskeleton for Stable Dynamic Walking
Li, Z., Zhao, K., Zhang, L., et al. (2020) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2020.3044289 · Cited by 137 · see citing works
Dynamic Event-Triggered Practical Fixed-Time Consensus for Nonlinear Multiagent Systems
Liu, J., Ran, G., Wu, Y., et al. (2021) · IEEE Transactions on Circuits & Systems II Express Briefs · doi:10.1109/tcsii.2021.3128624 · Cited by 132 · see citing works
Fuzzy-based dynamic event triggering formation control for nonstrict-feedback nonlinear MASs
Cao, L., Yao, D., Li, H., et al. (2022) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2022.03.005 · Cited by 132 · see citing works
Self-citationDai, S., He, S., Ma, Y., et al. (2020) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2020.3010690 · Cited by 125 · 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
Time-Varying Input and State Delay Compensation for Uncertain Nonlinear Systems
Kamalapurkar, R., Fischer, N., Obuz, S., & Dixon, W. E. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2451472 · Cited by 116 · 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
Sampled-Data Consensus Protocols for a Class of Second-Order Switched Nonlinear Multiagent Systems
Zou, W., Guo, J., Ahn, C. K., et al. (2022) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2022.3163157 · Cited by 105 · see citing works
Leader–follower consensus of nonlinear time-delay multiagent systems: A time-varying gain approach
Li, H., Liu, Q., Feng, G., et al. (2021) · Automatica · doi:10.1016/j.automatica.2020.109444 · Cited by 98 · see citing works
Human-Cooperative Control of a Wearable Walking Exoskeleton for Enhancing Climbing Stair Activities
Li, Z., Deng, C., & Zhao, K. (2019) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2019.2914573 · Cited by 84 · see citing works
Cao, L., Ren, H., Meng, W., et al. (2021) · Science China Information Sciences · doi:10.1007/s11432-020-3128-2 · Cited by 83 · see citing works
Self-citationHuman-Cooperative Control Design of a Walking Exoskeleton for Body Weight Support
Li, Z., Ren, Z., Zhao, K., Deng, C., & Feng, Y. (2019) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2019.2900121 · Cited by 79 · see citing works
Decentralized adaptive control of uncertain interconnected systems with triggering state signals
Zhang, Z., Wen, C., Zhao, K., et al. (2022) · Automatica · doi:10.1016/j.automatica.2022.110283 · Cited by 77 · see citing works
Ma, J., Xu, S., Ma, Q., & Zhang, Z. (2019) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2019.2952709 · Cited by 74 · see citing works
Li, Y., Liu, L., Hua, C., & Feng, G. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2936413 · Cited by 73 · see citing works
Huang, J., Wang, W., & Su, X. (2021) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3069209 · Cited by 71 · see citing works
Output Feedback Control of Micromechanical Gyroscopes Using Neural Networks and Disturbance Observer
Zhang, R., Xu, B., & Shi, P. J. (2020) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2020.3030712 · Cited by 68 · 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
Zhao, L. H., Chen, X., Yu, J., et al. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3124485 · Cited by 63 · see citing works
Liu, L., Li, Z., Chen, Y., et al. (2022) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2022.3141419 · Cited by 61 · see citing works
Xi, C., & Dong, J. (2019) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2019.11.005 · Cited by 55 · see citing works
Semiglobal Periodic Event-Triggered Output Regulation for Nonlinear Multiagent Systems
Zheng, S., Shi, P. J., & Zhang, H. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3142123 · Cited by 48 · see citing works
Composite Learning Fuzzy Control of Stochastic Nonlinear Strict-Feedback Systems
Wang, X., Xu, B., Li, S., et al. (2019) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2019.2960736 · Cited by 42 · see citing works
Zhao, G., Hua, C., & Guan, X. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.3003330 · Cited by 33 · see citing works
Song, W., Feng, J. Y., Zhang, H., et al. (2022) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2022.3190323 · Cited by 32 · see citing works
Delay and state observation for SISO nonlinear systems with input delay
Léchappé, V., Morales, J. D. L., Moulay, E., Plestan, F., & Glumineau, A. (2018) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4020 · Cited by 28 · see citing works
Feng, Z., Zhang, H., & Zheng, W. X. (2022) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2022.3210184 · Cited by 20 · see citing works
A Predictor-Based Model Reference Adaptive Controller for Time-Delay Systems
Nguyen, K. (2018) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2018.2823269 · Cited by 19 · see citing works
Chen, K., Ma, Z., Bai, L., Sheng, H., & Cheng, Y. (2022) · Neurocomputing · doi:10.1016/j.neucom.2022.08.046 · Cited by 18 · see citing works
Choi, Y. H., & Yoo, S. J. (2019) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2019.2955996 · Cited by 8 · see citing works
Interconnected delay and state observer for nonlinear systems with time-varying input delay
Léchappé, V., Moulay, E., Plestan, F., et al. (2016) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2016.7524894 · Cited by 5 · see citing works
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Hua, Z., & Xu, S. (2025) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2024.3519784 · Cited by 9 · see citing works
- Authors
- Cao, L., Pan, Y., Liang, H., & Huang, T.
- Affiliations
- Bohai University (CN)
- University of Electronic Science and Technology of China (CN)
- Science Program, Texas A&M University, Doha, Qatar
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2023-05
- Volume
- 53
- Issue
- 5
- Pages
- 3376-3387
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W4312606238
- Cited by
- 334
- References
- 54
- Citations by year
- 2026: 45 · 2025: 73 · 2024: 100 · 2023: 116
- FWCI
- 32.24
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Cybernetics (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Natural Science Foundation of China (62103108, 62003052, 62073046)
- Qatar National Research Fund (NPRP12C-0814-190012)
- Basic and Applied Basic Research Foundation of Guangdong Province (2020A1515110974)
- Topics
- Physical Sciences › Computer Science › Computer Networks and Communications › Distributed Control Multi-Agent 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
- dynamic event-triggered control, multi-agent systems, time-varying input delay, adaptive output feedback control, nonlinear multi-agent systems, state estimation, dynamic surface control, neural network approximation, consensus tracking, communication frequency reduction
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