Journal
NONLINEAR DYNAMICS
Volume 83, Issue 4, Pages 1975-1985Publisher
SPRINGER
DOI: 10.1007/s11071-015-2459-5
Keywords
Cluster consensus; Multi-agent systems; Distributed control; Adaptive control; Pinning control
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Funding
- National Natural Science Foundation (NNSF) of China [61273157, 61374139, 61374053, 61473129]
- Program for New Century Excellent Talents in University from Chinese Ministry of Education [NCET-12-0215]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT1245]
- Natural Science Foundation of Ministry of Education in Hunan Province [12C0077, 13C038]
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This paper investigates adaptive pinning control for cluster consensus of second-order mobile multi-agent systems with inherent nonlinear dynamics under fixed directed topologies. Using tools from matrix, graph and Lyapunov stability theories, sufficient conditions for cluster consensus are obtained by virtue of a distributed adaptive pinning control scheme. Moreover, an adaptive strategy on the strengths is designed to guarantee that the cluster consensus condition does not require any global information except a connection assumption. The obtained results are also extended to complete consensus for second-order mobile multi-agent systems. Finally, numerical simulations are presented to illustrate the theoretical results.
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