The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Predefined-Time Consensus Tracking of Second-Order Multiagent Systems
Abstract
In this paper, the predefined-time consensus tracking problem of second-order multiagent systems (MASs) is investigated. A distributed observer is presented to estimate the tracking error for each follower within predefined time. A novel sliding surface is constructed to ensure predefined-time system convergence along the sliding surface and a terminal sliding mode consensus protocol is presented to overcome singularity problem and achieve leader-following consensus within predefined time. It is mathematically proved that the followers' states can track the leader's trajectory within predefined time. In particular, the settling time bound is directly related to tunable parameters, which facilitates the control protocol design to meet the desired convergence time requirement. Besides, the estimation bound for convergence time is less conservative than some existing fixed-time consensus protocols. The effectiveness of the proposed method is verified by the consensus tracking control for networked single-link robotic manipulators.
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Citations
Cites
Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
Olfati-Saber, R., & Murray, R. M. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.834113 · Cited by 12,788 · cited 1×
“It was demonstrated in [6] that increasing the algebraic connectivity helps to improve convergence speed.”
BackgroundNonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
Polyakov, A. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2179869 · Cited by 5,207
NIST Handbook of Mathematical Functions
Olver, F. W. J., Lozier, D. W., Boisvert, R. F., & Clark, C. W. (2010) · CERN Document Server (European Organization for Nuclear Research) · Cited by 5,206
Fast linear iterations for distributed averaging
Xiao, L., & Boyd, S. (2004) · Systems & Control Letters · doi:10.1016/j.sysconle.2004.02.022 · Cited by 2,706
Leader-following consensus of multi-agent systems under fixed and switching topologies
Ni, W., & Cheng, D. (2010) · Systems & Control Letters · doi:10.1016/j.sysconle.2010.01.006 · Cited by 1,462
Nonsingular fixed-time consensus tracking for second-order multi-agent networks
Zuo, Z. (2015) · Automatica · doi:10.1016/j.automatica.2015.01.021 · Cited by 1,151
Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics
Li, S., Du, H., & Lin, X. (2011) · Automatica · doi:10.1016/j.automatica.2011.02.045 · Cited by 919
Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems
Khoo, S., Xie, L., & Man, Z. (2009) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2009.2014057 · Cited by 835
Distributed robust finite-time nonlinear consensus protocols for multi-agent systems
Zuo, Z., & Tie, L. (2016) · International Journal of Systems Science · doi:10.1080/00207721.2014.925608 · Cited by 797
On Maximizing the Second Smallest Eigenvalue of a State-Dependent Graph Laplacian
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Cited by
Adaptive Fuzzy Control of Nonlinear Systems With Predefined Time and Accuracy
Wang, Q., Cao, J., & Liu, H. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2022.3169852 · Cited by 304
Ni, J., Wu, Z., Liu, L., & Liu, C. (2020) · ISA Transactions · doi:10.1016/j.isatra.2019.07.013 · Cited by 105
Self-citationQue, N., Sun, H., Deng, W., Yao, J., Zhao, X., Hu, J., & Luo, M. (2025) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.70018 · Cited by 5
Metadata
- Authors
- Ni, J., Liu, L., Tang, Y., & Liu, C.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics: Systems
- Published
- 2021-04
- Volume
- 51
- Issue
- 4
- Pages
- 2550-2560
- ISSN
- 2168-2216 (ISSN-L)
- 2168-2232
- OpenAlex
- W2946074838
- Cited by
- 257
- References
- 29
- FWCI
- 7.30
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ni, J., Liu, L., Tang, Y., & Liu, C. (2021). Predefined-Time Consensus Tracking of Second-Order Multiagent Systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems. https://doi.org/10.1109/tsmc.2019.2916257
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