The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Distributed Average Tracking of Multiple Time-Varying Reference Signals With Bounded Derivatives
Abstract
We present a distributed discontinuous control algorithm for a team of agents to track the average of multiple time-varying reference signals with bounded derivatives. We use tools from nonsmooth analysis to analyze the stability of the system. For time-invariant undirected connected network topologies, we prove that the states of all agents will converge to the average of the time-varying reference signals with bounded derivatives in finite time provided that the control gain is properly chosen. The validity of this result is also established for scenarios with switching undirected connected network topologies. For time-invariant directed network topologies with a directed spanning tree, we show that all agents will still reach a consensus in finite time, but the convergent value is generally not the average of the time-varying reference signals with bounded derivatives. Simulation examples are presented to show the validity of the above results.
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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
Optimization and Nonsmooth Analysis
Clarke, F. H. (1990) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971309 · Cited by 10,264
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
Consensus seeking in multiagent systems under dynamically changing interaction topologies
Ren, W., & Beard, R. W. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.846556 · Cited by 6,569
Self-citationDifferential equations with discontinuous right hand sides
(1989) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(89)90171-7 · Cited by 4,893
Differential Equations with Discontinuous Righthand Sides
Filippov, A. F. (1988) · Mathematics and Its Applications · doi:10.1007/978-94-015-7793-9 · Cited by 4,720
Stability of multiagent systems with time-dependent communication links
Moreau, L. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.841888 · Cited by 2,706
Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint
Li, Z., Duan, Z., Chen, G., & Huang, L. (2010) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2009.2023937 · Cited by 2,400
Tracking control for multi-agent consensus with an active leader and variable topology
Hong, Y., Hu, J., & Gao, L. (2006) · Automatica · doi:10.1016/j.automatica.2006.02.013 · Cited by 2,055
Finite-Time Consensus Problems for Networks of Dynamic Agents
Wang, L., & Xiao, F. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2041610 · Cited by 1,170
Cited by
Distributed Nash equilibrium seeking for aggregative games with coupled constraints
Liang, S., Yi, P., & Hong, Y. (2017) · Automatica · doi:10.1016/j.automatica.2017.07.064 · Cited by 328
Metadata
- Authors
- Chen, F., Cao, Y., & Ren, W.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2012-12
- Volume
- 57
- Issue
- 12
- Pages
- 3169-3174
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2068657768
- Cited by
- 320
- References
- 23
- FWCI
- 15.19
- Type
- journal article
- Language
- en
- Open access
- closed
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