Ajorlou, Amir, Momeni, Ahmadreza and Aghdam, Amir G. (2011) Sufficient conditions for the convergence of a class of nonlinear distributed consensus algorithms. Automatica, 47 (3). pp. 625-629. ISSN 00051098
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Official URL: http://dx.doi.org/10.1016/j.automatica.2011.01.042
Abstract
This paper is concerned with the convergence of a class of continuous-time nonlinear consensus algorithms for single integrator agents. In the consensus algorithms studied here, the control input of each agent is assumed to be a state-dependent combination of the relative positions of its neighbors in the information flow graph. Using a novel approach based on the smallest order of the nonzero derivative, it is shown that under some mild conditions the convex hull of the agents has a contracting property. A set-valued LaSalle-like approach is subsequently employed to show the convergence of the agents to a common point. The results are shown to be more general than the ones reported in the literature in some cases. An illustrative example demonstrates how the proposed convergence conditions can be verified
| Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering |
|---|---|
| Item Type: | Article |
| Refereed: | Yes |
| Authors: | Ajorlou, Amir and Momeni, Ahmadreza and Aghdam, Amir G. |
| Journal or Publication: | Automatica |
| Date: | 2011 |
| Digital Object Identifier (DOI): | 10.1016/j.automatica.2011.01.042 |
| Keywords: | Cooperative control; Distributed control; Stability analysis; Autonomous mobile robots; Directed graphs |
| ID Code: | 975174 |
| Deposited By: | Danielle Dennie |
| Deposited On: | 22 Jan 2013 14:29 |
| Last Modified: | 18 Jan 2018 17:39 |
References:
Ajorlou et al., 2010 Amir Ajorlou, Ahmadreza Momeni, Amir G. Aghdam A class of bounded distributed control strategies for connectivity preservation in multi-agent systems IEEE Transactions on Automatic Control, 55 (12) (2010), pp. 2828–2833Dimarogonas and Kyriakopoulos, 2008 Dimos V. Dimarogonas, Kostas J. Kyriakopoulos Connectedness preserving distributed swarm aggregation for multiple kinematic robots IEEE Transactions on Robotics, 24 (5) (2008), pp. 1213–1223
Gondran and Minoux, 1984 Michel Gondran, Michel Minoux Graphs and algorithms John Wiley & Sons Inc., New York (1984)
Ji and Egerstedt, 2007 Meng Ji, Magnus Egerstedt Distributed coordination control of multiagent systems while preserving connectedness IEEE Transactions on Robotics, 23 (4) (2007), pp. 693–703
Kelley, 1975 John L. Kelley General topology Springer, New York (1975)
Khalil, 2002 Hassan K. Khalil Nonlinear systems (3rd ed.)Prentice Hall, New Jersey (2002)
Lin et al., 2005 Lin, Zhiyun, Francis, Bruce A., & Maggiore, Manfredi (2005). On the state agreement problem for multiple nonlinear dynamical systems. In Proc. of 16th IFAC world congress.
Lin et al., 2007 Zhiyun Lin, Bruce A. Francis, Manfredi Maggiore State agreement for continuous-time coupled nonlinear systems SIAM Journal on Control and Optimization, 46 (1) (2007), pp. 288–307
Moreau, 2004 Moreau, Luc (2004). Stability of continuous-time distributed consensus algorithms. In Proc. of the 43th IEEE conf. on decision and control (pp. 3998–4003).
Moreau, 2005 Luc Moreau Stability of multiagent systems with time-dependent communication links IEEE Transactions on Automatic Control, 50 (2) (2005), pp. 169–182
Olfati-Saber, 2006 Reza Olfati-Saber Flocking for multi-agent dynamic systems: algorithms and theory IEEE Transactions on Automatic Control, 51 (3) (2006), pp. 401–420
Olfati-Saber et al., 2007 Reza Olfati-Saber, J. Alex Fax, Richard M. Murray Consensus and cooperation in networked multi-agent systems Proceedings of the IEEE, 95 (1) (2007), pp. 215–233
Olfati-Saber and Murray, 2004 Reza Olfati-Saber, Richard M. Murray Consensus problems in networks of agents with switching topology and time-delays IEEE Transactions on Automatic Control, 49 (9) (2004), pp. 1520–1533
Ren and Beard, 2005 Wei Ren, Randal W. Beard Consensus seeking in multiagent systems under dynamically changing interaction topologies IEEE Transactions on Automatic Control, 50 (5) (2005), pp. 655–661
Tanner et al., 2007 Herbert G. Tanner, Ali Jadbabaie, George J. Pappas Flocking in fixed and switching networks IEEE Transactions on Automatic Control, 52 (5) (2007), pp. 863–868
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