Impulsive consensus algorithms for second-order multi-agent networks with sampled information

Authors:
Zhi-Hong Guan;Zhi-Wei Liu;Gang Feng;Ming Jian
Affiliations:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, PR China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, PR China;Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong;School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

In this paper, the distributed consensus problem for second-order continuous-time multi-agent networks with sampled-data communication is investigated. Motivated by impulsive control strategy, two kinds of impulsive distributed consensus algorithm are proposed. These algorithms only utilize the sampled information and are implemented at sampled times. By using the stability theory of impulsive systems and properties of the Laplacian matrix, necessary and sufficient conditions are obtained to ensure the consensus of the controlled networks. It is shown that the control gains, the sampling period and the eigenvalues of the Laplacian matrix of the communication graph play key roles in achieving the consensus. A numerical example is given to illustrate the results.