Distributed event-triggered control for multi-agent systems
Abstract
Event-driven strategies for multi-agent systems are motivated by the future use of embedded microprocessors with limited resources that will gather information and actuate the individual agent controller updates. The controller updates considered here are event-driven, depending on the ratio of a certain measurement error with respect to the norm of a function of the state, and are applied to a first order agreement problem. A centralized formulation is considered first and then its distributed counterpart, in which agents require knowledge only of their neighbors' states for the controller implementation. The results are then extended to a self-triggered setup, where each agent computes its next update time at the previous one, without having to keep track of the state error that triggers the actuation between two consecutive update instants. The results are illustrated through simulation examples.
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Given a connected, undirected graph G_comm and closed-loop dynamics (16), if event times are determined as the times when the triggering condition holds, then the system achieves multi-agent average consensus.
“Given a connected, undirected graph G comm and the closed-loop dynamics (16) , if the event times are determined as the times when”
From Event-triggered communication and control of networked systems for multi-agent consensus (2019) · cites this paper as Dimarogonas et al., 2012
Dimarogonas et al. (2012) are able to rule out the existence of Zeno behavior by showing there exists a positive MIET uniformly bounding the inter-event times.
“Dimarogonas et al. (2012) are able to rule out the existence of Zeno behavior, cf. Definition 2.1, by showing there exists a positive MIET”
From Event-triggered communication and control of networked systems for multi-agent consensus (2019) · cites this paper as Dimarogonas et al., 2012
Theorem 2.6: Given a connected, undirected graph and closed-loop dynamics (22), if event times of each agent i are determined by trigger (27) with 0<a<1/|N_i|, then all non-Zeno trajectories asymptotically achieve multi-agent average consensus.
“then all nonZeno trajectories of the system asymptotically achieve multi-agent average consensus.”
From Event-triggered communication and control of networked systems for multi-agent consensus (2019) · cites this paper as Dimarogonas et al. (2012)
In the derivation of Theorem 2.6, Dimarogonas et al. (2012) only show that at all times there exists one agent i for which the interevent times are strictly positive.
“Instead, in the derivation of the result of Theorem 2.6, Dimarogonas et al. (2012) only show that at all times there exists one agent i for which the interevent times are strictly positive.”
From Event-triggered communication and control of networked systems for multi-agent consensus (2019) · cites this paper as Dimarogonas et al. (2012)
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 3× · see citing works
“The agreement control laws in [9], [20] were given by”
BackgroundMethodEvent-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
On characterizations of the input-to-state stability property
Sontag, E. D., & Wang, Y. (1995) · Systems & Control Letters · doi:10.1016/0167-6911(94)00050-6 · Cited by 1,815 · see citing works
Distributed multi‐vehicle coordinated controlvialocal information exchange
Ren, W., & Atkins, E. M. (2006) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.1147 · Cited by 1,487 · see citing works
PROBLEMS IN DECENTRALIZED DECISION MAKING AND COMPUTATION
Τσιτσικλής, Ι. (1984) · doi:10.12681/eadd/3778 · Cited by 1,342 · see citing works
Event-Triggering in Distributed Networked Control Systems
Wang, X., & Lemmon, M. D. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2057951 · Cited by 1,186 · see citing works
Consensus Filters for Sensor Networks and Distributed Sensor Fusion
Olfati‐Saber, R., & Shamma, J. S. (2006) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2005.1583238 · Cited by 1,005 · see citing works
Comparison of Riemann and Lebesgue sampling for first order stochastic systems
Åström, K. J., & Bernhardsson, B. (2003) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2002.1184824 · Cited by 998 · see citing works
To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems
Anta, A., & Tabuada, P. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2042980 · Cited by 875 · see citing works
Distributed Coordination Control of Multiagent Systems While Preserving Connectedness
Ji, M., & Egerstedt, M. (2007) · IEEE Transactions on Robotics · doi:10.1109/tro.2007.900638 · Cited by 866 · see citing works
Passivity as a Design Tool for Group Coordination
Arcak, M. (2007) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.902733 · Cited by 779 · see citing works
Analysis of event-driven controllers for linear systems
Heemels, W. P. M. H., Sandee, J. H., & van den Bosch, P. P. J. (2008) · International Journal of Control · doi:10.1080/00207170701506919 · Cited by 742 · see citing works
Leader–follower formation control of nonholonomic mobile robots with input constraints
Consolini, L., Morbidi, F., Prattichizzo, D., et al. (2008) · Automatica · doi:10.1016/j.automatica.2007.09.019 · Cited by 685 · see citing works
Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability
Wang, X., & Lemmon, M. D. (2009) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2009.2012973 · Cited by 671 · see citing works
On the Input-to-State Stability Property
Sontag, E. D. (1995) · European Journal of Control · doi:10.1016/s0947-3580(95)70005-x · Cited by 380 · see citing works
Average consensus in networks of multi-agents with both switching topology and coupling time-delay
Lin, P., & Jia, Y. (2007) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2007.08.040 · Cited by 359 · see citing works
Event-triggered control for multi-agent systems
Dimarogonas, D. V., & Johansson, K. H. (2009) · doi:10.1109/cdc.2009.5399776 · Cited by 304 · see citing works
Self-citationDelay robustness in consensus problems
Münz, U., Papachristodoulou, A., & Allgöwer, F. (2010) · Automatica · doi:10.1016/j.automatica.2010.04.008 · Cited by 272 · see citing works
GRAPH LAPLACIANS AND STABILIZATION OF VEHICLE FORMATIONS
Fax, J. A., & Murray, R. M. (2002) · IFAC Proceedings Volumes · doi:10.3182/20020721-6-es-1901.00090 · Cited by 238 · see citing works
Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays
Liu, X., Lu, W., & Chen, T. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2054770 · Cited by 187 · see citing works
A connection between formation infeasibility and velocity alignment in kinematic multi-agent systems
Dimarogonas, D. V., & Kyriakopoulos, K. J. (2008) · Automatica · doi:10.1016/j.automatica.2008.03.013 · Cited by 179 · see citing works
Self-citationEvent-triggered broadcasting across distributed networked control systems
Wang, X., & Lemmon, M. D. (2008) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2008.4586975 · Cited by 136 · see citing works
Distributed and Collaborative Estimation over Wireless Sensor Networks
Speranzon, A., Fischione, C., & Johansson, K. H. (2006) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2006.377101 · Cited by 135 · see citing works
Self-citationOn self-triggered control for linear systems: Guarantees and complexity
Mazo, M., Anta, A., & Tabuada, P. (2009) · European Control Conference (ECC) · doi:10.23919/ecc.2009.7074986 · Cited by 123 · see citing works
Control of acyclic formations of mobile autonomous agents
Cao, M., Anderson, B. D. O., Morse, A. S., et al. (2008) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2008.4738979 · Cited by 94 · see citing works
Optimal stopping for event-triggered sensing and actuation
Rabi, M., Johansson, K. H., & Johansson, M. (2008) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2008.4739489 · Cited by 92 · see citing works
Self-citationConsensus algorithms are input-to-state stable
Kingston, D. B., Ren, W., & Beard, R. W. (2005) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2005.1470210 · Cited by 85 · see citing works
Event-based control: A state-feedback approach
Lehmann, D. J., & Lunze, J. (2009) · European Control Conference (ECC) · doi:10.23919/ecc.2009.7074650 · Cited by 48 · see citing works
Distributed self-triggered control for multi-agent systems
Dimarogonas, D. V., Frazzoli, E., & Johansson, K. H. (2010) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2010.5717444 · Cited by 36 · see citing works
Self-citationSporadic Control of First-Order Linear Stochastic Systems
Johannesson, E., Henningsson, T., & Cervin, A. (2007) · Springer eBooks · doi:10.1007/978-3-540-71493-4_25 · Cited by 34 · see citing works
An algorithm for event-based optimal feedback control
Grüne, L., & Müller, F. (2009) · doi:10.1109/cdc.2009.5399849 · Cited by 30 · see citing works
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Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs
Yang, D., Ren, W., Liu, X., & Chen, W. (2016) · Automatica · doi:10.1016/j.automatica.2016.03.003 · Cited by 470 · see citing works
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- Authors
- Dimarogonas, D. V., Frazzoli, E., & Johansson, K. H.
- Affiliations
- KTH Royal Institute of Technology (SE)
- Massachusetts Institute of Technology (US)
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2012-05
- Volume
- 57
- Issue
- 5
- Pages
- 1291-1297
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2167183308
- Cited by
- 2,556
- References
- 31
- Citations by year
- 2026: 129 · 2025: 198 · 2024: 223 · 2023: 224 · 2022: 251 · 2021: 238 · 2020: 237 · 2019: 246 · 2018: 223 · 2017: 165 · 2016: 153 · 2015: 114 · 2014: 96 · 2013: 47 · 2012: 11
- FWCI
- 64.95
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Automatic Control (publishedVersion)
- 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
- event-triggered control, multi-agent systems, distributed control, self-triggered control, resource-constrained embedded systems
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