state consensus analysis and design for high-order discrete-time linear multiagent systems

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ID: 167927
2013
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Abstract
The paper deals with the state consensus problem of high-order discrete-time linear multiagent systems (DLMASs) with fixed information topologies. We consider three aspects of the consensus analysis and design problem: (1) the convergence criteria of global state consensus, (2) the calculation of the state consensus function, and (3) the determination of the weighted matrix and the feedback gain matrix in the consensus protocol. We solve the consensus problem by proposing a linear transformation to translate it into a partial stability problem. Based on the approach, we obtain necessary and sufficient criteria in terms of Schur stability of matrices and present an analytical expression of the state consensus function. We also propose a design process to determine the feedback gain matrix in the consensus protocol. Finally, we extend the state consensus to the formation control. The results are explained by several numerical examples.
Reference Key
ge2013mathematicalstate Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Yanrong Ge;Yangzhou Chen;Yaxiao Zhang;Zhonghe He
Journal journal of power sources
Year 2013
DOI
10.1155/2013/192351
URL
http://dx.doi.org/10.1155/2013/192351
Keywords
civil engineering (general)mathematics engineering (general)

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