Leader-Following Consensus Stability of Discrete-Time Linear Multiagent Systems with Observer-Based Protocols

Bingbing Xu, Lixin Gao, Yan Zhang and Xiaole Xu

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

We consider the leader-following consensus problem of discrete-time multiagent systems on a directed communication topology. Two types of distributed observer-based consensus protocols are considered to solve such a problem. The observers involved in the proposed protocols include full-order observer and reduced-order observer, which are used to reconstruct the state variables. Two algorithms are provided to construct the consensus protocols, which are based on the modified discrete-time algebraic Riccati equation and Sylvester equation. In light of graph and matrix theory, some consensus conditions are established. Finally, a numerical example is provided to illustrate the obtained result.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:357971

DOI: 10.1155/2013/357971

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