Distributed algorithm for dissensus of a class of networked multiagent systems using output information

In this paper, a distributed algorithm is developed to solve the dissensus of a class of networked multiagent systems only using output information. By introducing a gauge transformation, the dissensus problem is transformed to the problem of demonstrating that ( A ,  B ,  C ) is stabilizable and de...

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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Germany), 2018-01, Vol.22 (1), p.273-282
Main Authors: Ma, Hongwen, Liu, Derong, Wang, Ding, Yang, Xiong, Li, Hongliang
Format: Article
Language:English
Subjects:
Algorithms
Artificial Intelligence
Communication
Competition
Computational Intelligence
Control
Discrete time systems
Engineering
Graph theory
Mathematical Logic and Foundations
Mechatronics
Methodologies and Application
Multiagent systems
Riccati equation
Robotics
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Summary:In this paper, a distributed algorithm is developed to solve the dissensus of a class of networked multiagent systems only using output information. By introducing a gauge transformation, the dissensus problem is transformed to the problem of demonstrating that ( A ,  B ,  C ) is stabilizable and detectable. If the networked multiagent systems can reach dissensus, the signed digraph is structurally balanced containing a spanning tree. Furthermore, by solving a Riccati equation, the necessary condition becomes a necessary and sufficient condition. Finally, two examples are provided to illustrate our results. There are three main contributions in this paper: (1) a distributed algorithm with output information is introduced to deal with the difficulty of obtaining relative full-state observations; (2) the undirected communication graph is extended to the signed digraph which is more practical in physical implementations; (3) the method established in this paper is also applicable to discrete-time networked multiagent systems by using a gauge transformation, which further demonstrates the generality of our results.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-016-2332-6