Reduced-Order Distributed Consensus Controller Design via Edge Dynamics

This technical note proposes a novel approach to design fully distributed reduced-order consensus controllers for multi-agent systems (MASs) with identical general linear dynamics of agents. A new model namely edge dynamics representing the differences on connected agents' states is first prese...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 62; no. 1; pp. 475 - 480
Main Author Nguyen, Dinh Hoa
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Control systems design
Controllers
Couplings
Dynamics
Eigenvalues and eigenfunctions
Laplace equations
MIMO
Model reduction
Multi-agent systems
Multiagent systems
networked control systems
optimal control
Power system dynamics
Protocols
Online AccessGet full text

Cover

More Information
Summary:This technical note proposes a novel approach to design fully distributed reduced-order consensus controllers for multi-agent systems (MASs) with identical general linear dynamics of agents. A new model namely edge dynamics representing the differences on connected agents' states is first presented. Then the distributed consensus controller design is shown to be equivalent to the synthesis of a distributed stabilizing controller for this edge dynamics. Consequently, based on LQR approach, the globally optimal and locally optimal distributed stabilizing controller designs are proposed, of which the locally optimal distributed stabilizing design for the edge dynamics results in a fully distributed consensus controller for the MAS with no conservative bound on the coupling strength. This approach is then further developed to obtain reduced-order distributed consensus controllers for linear MASs. Finally, a numerical example is introduced to demonstrate the theoretical results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2554279