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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 357971, 10 pages
http://dx.doi.org/10.1155/2013/357971
Research Article

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

1Institute of Intelligent Systems and Decision, Wenzhou University, Zhejiang 325035, China
2Wenzhou Vocational College of Science & Technology, Zhejiang 325006, China

Received 16 February 2013; Accepted 26 August 2013

Academic Editor: Pagavathi Balasubramaniam

Copyright © 2013 Bingbing Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.