Consensus of multi‐agent systems with nonlinear dynamics and sampled‐data information: a delayed‐input approach |
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Authors: | Guanghui Wen Zhisheng Duan Wenwu Yu Guanrong Chen |
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Affiliation: | 1. State Key Lab for Turbulence and Complex Systems and the Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, , Beijing, 100871 China;2. Department of Mathematics, Southeast University, , Nanjing, 210096 China;3. Department of Electronic Engineering, City University of Hong Kong, , Hong Kong, SAR, China |
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Abstract: | This paper is concerned with the problem of consensus in directed networks of multiple agents with intrinsic nonlinear dynamics and sampled‐data information. A new protocol is induced from a class of continuous‐time linear consensus protocols by implementing data‐sampling technique and a zero‐order hold circuit. On the basis of a delayed‐input approach, the sampled‐data multi‐agent system is converted to an equivalent nonlinear system with a time‐varying delay. Theoretical analysis on this time‐delayed system shows that consensus with asymptotic time‐varying velocities in a strongly connected network can be achieved over some suitable sampled‐data intervals. A multi‐step procedure is further presented to estimate the upper bound of the maximal allowable sampling intervals. The results are then extended to a network topology with a directed spanning tree. For the case of the topology without a directed spanning tree, it is shown that the new protocol can still guarantee the system to achieve consensus by appropriately informing a fraction of agents. Finally, some numerical simulations are presented to demonstrate the effectiveness of the theoretical results and the dependence of the upper bound of maximal allowable sampling interval on the coupling strength. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | multi‐agent system consensus nonlinear dynamics sampled‐data information delayed input directed network |
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