Consensus for second-order multi-agent systems with position sampled data

doi:10.1088/1674-1056/25/10/100202

Abstract In this paper, the consensus problem with position sampled data for second-order multi-agent systems is investigated. The interaction topology among the agents is depicted by a directed graph. The full-order and reduced-order observers with position sampled data are proposed, by which two kinds of sampled data-based consensus protocols are constructed. With the provided sampled protocols, the consensus convergence analysis of a continuous-time multi-agent system is equivalently transformed into that of a discrete-time system. Then, by using matrix theory and a sampled control analysis method, some sufficient and necessary consensus conditions based on the coupling parameters, spectrum of the Laplacian matrix and sampling period are obtained. While the sampling period tends to zero, our established necessary and sufficient conditions are degenerated to the continuous-time protocol case, which are consistent with the existing result for the continuous-time case. Finally, the effectiveness of our established results is illustrated by a simple simulation example.

Keywords: multi-agent systems distributed control consensus observer sampled data

Received: 16 February 2016
Revised: 28 April 2016
Accepted manuscript online:

PACS:	02.30.Yy	(Control theory)
	05.45.Xt	(Synchronization; coupled oscillators)
	05.65.+b	(Self-organized systems)

Fund: Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13F030005) and the National Natural Science Foundation of China (Grant No. 61501331).

Corresponding Authors: Wenhai Chen
E-mail: whchen@wzu.edu.cn

Cite this article:

Rusheng Wang(王如生), Lixin Gao(高利新), Wenhai Chen(陈文海), Dameng Dai(戴大蒙) Consensus for second-order multi-agent systems with position sampled data 2016 Chin. Phys. B 25 100202

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