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

Bingbing Xu | Zendy; Lixin Gao | Zendy; Yan Zhang | Zendy; Xiaole Xu | Zendy

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

Author(s) -

Bingbing Xu,

Lixin Gao,

Yan Zhang,

Xiaole Xu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/357971

Subject(s) - sylvester equation , consensus , mathematics , observer (physics) , algebraic graph theory , discrete time and continuous time , algebraic riccati equation , riccati equation , directed graph , graph , graph theory , multi agent system , control theory (sociology) , mathematical optimization , computer science , algorithm , differential equation , discrete mathematics , control (management) , artificial intelligence , eigenvalues and eigenvectors , mathematical analysis , physics , statistics , quantum mechanics , combinatorics

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

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