Open AccessMulti-agent Consensus Problem Based on Observer and Considered Lur’e Nonlinearity in Directed Topology
Author(s) -
Shaolei Zhou,
Xueyuan Zhao,
Shi Yan,
Shuailei Wang
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1267/1/012030
Subject(s) - nonlinear system , multi agent system , protocol (science) , computer science , observer (physics) , consensus , topology (electrical circuits) , network topology , piecewise , lyapunov function , consistency (knowledge bases) , control theory (sociology) , state (computer science) , mathematical optimization , mathematics , control (management) , algorithm , artificial intelligence , computer network , medicine , mathematical analysis , physics , alternative medicine , pathology , quantum mechanics , combinatorics
This paper studies the multi-agent systems consensus problem considering Lur’e-type nonlinearity under directed network. Compared with the conclusions of the existing undirected communication topology, the conclusions obtained have greatly reduced the communication topology requirements and are more general. This paper designs a control protocol based on the observer, which solves the problem that the system state information is unknown. By decomposition of a specific form of the Laplacin matrix, consensus problem is converted into stability problem for low-dimensional systems. In this paper, the method of solving the control protocol is given and proved by the piecewise Lyapunov function. The simulation results show that the designed control protocol can solve the consistency problem.