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Consensus problems for high-dimensional multi-agent systems

Consensus problems for high-dimensional multi-agent systems

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  • Author(s): F. Xiao 1  and  L. Wang 1
    • View affiliations
    • Affiliations: 1: Center for Systems and Control, Department of Mechanics and Space Technologies, College of Engineering, Peking University, Beijing, People's Republic of China
  • Source: Volume 1, Issue 3, May 2007, p. 830 – 837
    DOI:  10.1049/iet-cta:20060014 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

As a new area of research, consensus problems for multi-agent systems have been studied extensively in the literature. It is usually assumed that all agents share a common one-dimensional state space. The authors of this study concentrate on the consensus problems of multi-agent systems in the framework of high-dimensional state space. As a basis for the analysis, a general model is first introduced by presenting two typical examples along with some necessary and sufficient conditions for the system to solve a consensus problem. Then the structures of consensus functions are investigated and some algebraic characterisations are given. Finally, a class of switched multi-agent systems are discussed and some sufficient conditions for the possession of the consensus property are provided. Several examples to illustrate the effectiveness of theoretical results are given.

Inspec keywords: state-space methods; algebra; multivariable control systems; mobile robots; multi-robot systems

Other keywords: consensus problems; algebra; switched multi-agent systems; high-dimensional state space; high-dimensional multi-agent systems

Subjects: Algebra; Mobile robots; Multivariable control systems; Control system analysis and synthesis methods

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