Paper Info
Title
Linear-transformation-based analysis and design of state consensus for multi-agent systems with state observers
Abstract
The paper investigates the analysis and design problem of state consensus via dynamic output feedback for linear Multi-Agent Systems (MASs) under a time-invariant directed communication topology. First, a general consensus protocol with observers is adopted using the estimated state of the agent itself and the relative estimated states between neighboring agents. Then a state-linear-transformation is proposed to transform the state consensus problem into a partial stability problem. Based on the partial stability theory, a necessary and sufficient criterion for state consensus is deduced, and an explicit expression of the state consensus function is given. From the criterion, a procedure to design gain matrices in the consensus protocol is presented by applying the homotopy method to solve the involved Bilinear Matrix Inequality (BMI). Finally, a numerical example is given to illustrate the effectiveness of theoretical results.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2015.01.024
Journal of the Franklin Institute
Field
DocType
Volume
Consensus,Mathematical optimization,Bilinear matrix inequality,Partial stability,Control theory,Matrix (mathematics),Homotopy method,Multi-agent system,Consensus function,Linear map,Mathematics
Journal
352
Issue
ISSN
Citations 
9
0016-0032
0
PageRank 
References 
Authors
0.34
16
4
Name
Order
Citations
PageRank
Yangzhou Chen18017.17
xiaojun qu200.34
Guiping Dai3173.55
A. Yu. Aleksandrov4518.42