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Adaptive Consensus of Multi-Agent Systems With Unknown Identical Control Directions Based on A Novel Nussbaum-Type Function
Abstract
This note addresses the adaptive consensus problem of first-order and second-order linearly parameterized multi-agent systems with unknown identical control directions. First, we propose a new Nussbaum-type function based on which a key lemma is established. The lemma plays an important role in analyzing the consensus of the closed-loop multi-agent systems. Second, the Nussbaum-type function is used to design adaptive control laws for first-order and second-order linearly parameterized multi-agent systems so that each agent seeks for the unknown control direction adaptively and cooperatively. Then, under the assumption that the interconnection topology is undirected and connected, it is proved that the first-order and second-order multi-agent systems can achieve consensus by choosing proper design parameters. Two simulation examples are given to illustrate the effectiveness of the proposed control laws.
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Coordination of groups of mobile autonomous agents using nearest neighbor rules
Jadbabaie, A., Lin, J., & Morse, A. S. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.812781 · Cited by 8,339
Distributed asynchronous deterministic and stochastic gradient optimization algorithms
Tsitsiklis, J., Bertsekas, D., & Athans, M. (1986) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1986.1104412 · Cited by 1,967
Cited by
Wang, Y.-W., Lei, Y., Bian, T., & Guan, Z.-H. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2908874 · Cited by 258
Metadata
- Authors
- Chen, W., Li, X., Ren, W., & Wen, C.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2014-07
- Volume
- 59
- Issue
- 7
- Pages
- 1887-1892
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- 2334-3303
- OpenAlex
- W1980491877
- Cited by
- 357
- References
- 2
- FWCI
- 31.21
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Adaptive Consensus of Multi-Agent Systems With Unknown Identical Control Directions Based on A Novel Nussbaum-Type Function. https://app.cochat.ai/papers/10.1109/tac.2013.2293452
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- Chen, W., Li, X., Ren, W., & Wen, C. (2014). Adaptive Consensus of Multi-Agent Systems With Unknown Identical Control Directions Based on A Novel Nussbaum-Type Function. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2013.2293452
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