NDLI: Observer-based positive edge consensus for directed nodal networks

Content Provider	IET Digital Library
Author	Qian, Yuchen Zhang, Wei Ji, Mingming Yan, Chenhang
Abstract	The positive edge consensus problem of linear systems on undirected as well as directed nodal networks is studied here. The authors first present a distributed observer-based positive edge consensus algorithm to address the problem. The proposed observer-based protocol has more design freedom and a general form which includes the classical Luenberger observer-based protocol as a special case. Moreover, with the help of line graph theory, they map the edge topology to the line topology such that the state of each edge in the connected networks can reach consensus. Sufficient conditions in terms of solving the Sylvester matrix equation, and the linear matrix inequalities are provided to design the proposed algorithm. Finally, a simulation example is given to verify the effectiveness of the proposed positive edge consensus protocol.
Starting Page	352
Ending Page	357
Page Count	6
ISSN	17518644
Volume Number	14
e-ISSN	17518652
Issue Number	Issue 2, Jan (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/14/2
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0945
Journal	IET Control Theory & Applications
Publisher Date	2019-10-28
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Classical Luenberger Observer-based Protocol Combinatorial Mathematics Connected Network Control System Analysis Directed Nodal Network Distributed Observer-based Positive Edge Consensus Algorithm Edge Topology Graph Theory Line Graph Theory Line Topology Linear Matrix Inequalities Linear System Matrix Algebra Modelling And Identification Multi-robot System Observers Position Control Positive Edge Consensus Problem Positive Edge Consensus Protocol Simulation Spatial Variables Control Stability in Control Theory Synthesis Method
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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