The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
High-Order and Model Reference Consensus Algorithms in Cooperative Control of MultiVehicle Systems
Abstract
In this paper we study ℓth-order (ℓ⩾3) consensus algorithms, which generalize the existing first-order and second-order consensus algorithms in the literature. We show necessary and sufficient conditions under which each information variable and its higher-order derivatives converge to common values. We also present the idea of higher-order consensus with a leader and introduce the concept of an ℓth-order model-reference consensus problem, where each information variable and its high-order derivatives not only reach consensus, but also converge to the solution of a prescribed dynamic model. The effectiveness of these algorithms is demonstrated through simulations and a multivehicle cooperative control application, which mimics a flocking behavior in birds.
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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
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
Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics
Zhang, H., & Lewis, F. L. (2012) · Automatica · doi:10.1016/j.automatica.2012.05.008 · Cited by 1,042
Distributed Consensus in Multi-vehicle Cooperative Control
Ren, W., & Beard, R. W. (2008) · Communications and Control Engineering · doi:10.1007/978-1-84800-015-5 · Cited by 2,826
Self-citationLi, Z., Ren, W., Liu, X., & Fu, M. (2013) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.1847 · Cited by 517
Self-citationDiscrete-time dynamic average consensus
Zhu, M., & Martínez, S. (2010) · Automatica · doi:10.1016/j.automatica.2009.10.021 · Cited by 488
Shen, Q., Jiang, B., Shi, P., & Zhao, J. (2014) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2013.2260757 · Cited by 346
Metadata
- Authors
- Ren, W., Moore, K. L., & Chen, Y.
- Venue
- Journal of Dynamic Systems, Measurement, and Control
- Publisher
- ASME International
- Published
- 2006-12-11
- Volume
- 129
- Issue
- 5
- Pages
- 678-688
- ISSN
- 0022-0434 (ISSN-L)
- 1528-9028
- OpenAlex
- W2072718225
- Cited by
- 429
- References
- 3
- FWCI
- 8.55
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ren, W., Moore, K. L., & Chen, Y. (2007). High-Order and Model Reference Consensus Algorithms in Cooperative Control of MultiVehicle Systems. Journal of Dynamic Systems, Measurement, and Control. https://doi.org/10.1115/1.2764508
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