Consensus of second-order multi-agent systems via sampled control: undirected fixed topology case

Author(s): S. Wang and D. Xie
DOI: 10.1049/iet-cta.2011.0282

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Author(s): S. Wang ¹ and D. Xie ¹
- Affiliations: 1: Department of Mathematics, School of Sciences, Tianjin University, Tianjin, People’s Republic of China
Source: Volume 6, Issue 7, 3 May 2012, p. 893 – 899
DOI: 10.1049/iet-cta.2011.0282 , Print ISSN 1751-8644, Online ISSN 1751-8652

This article studies the average-consensus problem of second-order multi-agent sampled control system with time-varying sampling interval. The sampled control protocol is induced from continuous-time linear consensus protocol by using sampling technology and zero-order hold circuit. First, by the iterative method, the continuous-time multi-agent system can be equivalently transformed into a linear discrete-time system. Then, by algebraic graph theory and matrix theory, the authors analyse the convergence of the system and not only prove the existence of the scaling parameter and time-varying sampling interval but also give the approach of how to choose them. In their study, the eigenvalues of the corresponding Laplacian matrix play a key role in reaching consensus. Finally, an example is provided to illustrate the effectiveness of the theoretical results.

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Consensus of second-order multi-agent systems via sampled control: undirected fixed topology case

Consensus of second-order multi-agent systems via sampled control: undirected fixed topology case

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