Abstract and Applied Analysis

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

Bingbing Xu, Lixin Gao, Yan Zhang, and Xiaole Xu

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 357971, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450350

Digital Object Identifier
doi:10.1155/2013/357971

Mathematical Reviews number (MathSciNet)
MR3111802

Zentralblatt MATH identifier
1291.93018

Citation

Xu, Bingbing; Gao, Lixin; Zhang, Yan; Xu, Xiaole. Leader-Following Consensus Stability of Discrete-Time Linear Multiagent Systems with Observer-Based Protocols. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 357971, 10 pages. doi:10.1155/2013/357971. https://projecteuclid.org/euclid.aaa/1393450350


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