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Bounded consensus tracking of second-order multi-agent systems with sampling delay under directed networks |
Li Li (李丽), Fang Hua-Jing (方华京) |
School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract The bounded consensus tracking problems of second-order multi-agent systems under directed networks with sampling delay are addressed in this paper. When the sampling delay is more than a sampling period, new protocols based on sampled-data control are proposed so that each agent can track the time-varying reference state of the virtual leader. By using the delay decomposition approach, the augmented matrix method, and the frequency domain analysis, necessary and sufficient conditions are obtained, which guarantee that the bounded consensus tracking is realized. Furthermore, some numerical simulations are presented to demonstrate the effectiveness of the theoretical results.
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Received: 06 May 2013
Revised: 31 May 2013
Accepted manuscript online:
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PACS:
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05.65.+b
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(Self-organized systems)
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02.30.Yy
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(Control theory)
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02.10.Yn
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(Matrix theory)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60874053 and 61034006). |
Corresponding Authors:
Fang Hua-Jing
E-mail: hjfang@mail.hust.edu.cn
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Cite this article:
Li Li (李丽), Fang Hua-Jing (方华京) Bounded consensus tracking of second-order multi-agent systems with sampling delay under directed networks 2013 Chin. Phys. B 22 110505
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