Output consensus of linear multi-agent systems: Linear-transformation-based partial stability approach - Details

Author：

Chen, Yangzhou (Chen, Yangzhou.) (Scholars：陈阳舟) | Qu, Xiaojun (Qu, Xiaojun.) | Guo, Yuqi (Guo, Yuqi.) | Aleksandrov, A.Yu. (Aleksandrov, A.Yu..)

Indexed by：

EI Scopus

Abstract：

This　paper　deals　with　the　output　consensus　problem　of　high-order　linear　multi-agent　systems.　A　generalized　linear　protocol　is　proposed,　which　consists　of　a　state　feedback　of　the　agent　itself　and　a　cooperative　protocol　in　a　generalized　feedback　form　of　the　relative　states　between　the　agents.　Then　a　state-linear-transformation　is　constructed　to　transform　the　output　consensus　problem　into　a　partial　stability　problem.　Based　on　the　partial　stability　theory,　a　necessary　and　sufficient　criterion　is　provided　for　the　linear　multi-agent　system　achieving　output　consensus,　which　is　expressed　in　terms　of　Hurwitz　stability　of　a　real　matrix　constructed　from　the　parameters　of　the　agent　models　and　the　protocol.　©　2014　TCCT,　CAA.

Keyword：

Linear transformations State feedback Multi agent systems System stability Mathematical transformations

Author Community：

[ 1 ] [Chen, Yangzhou]College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing; 100124, China
[ 2 ] [Qu, Xiaojun]College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing; 100124, China
[ 3 ] [Guo, Yuqi]College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing; 100124, China
[ 4 ] [Aleksandrov, A.Yu.]Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg, Russia