Control of heterogeneous groups of LPV systems interconnected through directed and switching topologies

Publikationstyp
Journal Article
Date Issued
2014-06
Sprache
English
Author(s)
Hoffmann, Christian  
Eichler, Annika  
Werner, Herbert  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/12798
Journal
Proceedings of the American Control Conference  
Start Page
5156
End Page
5161
Article Number
6858631
Citation
Proceedings of the American Control Conference: 6858631, 5156-5161 (2014)
Contribution to Conference
American Control Conference, ACC 2014  
Publisher DOI
10.1109/ACC.2014.6858631
Scopus ID
2-s2.0-84905695443
Publisher
IEEE
A technique to synthesize distributed linear parameter-varying (LPV) controllers for the control of heterogeneous LPV systems interconnected through switching directed interaction topologies is presented. Groups of subsystems are defined with undirected interaction within, but directed interconnections between each other. This allows to construct a virtual symmetric interconnection matrix representation of the graph topology. The symmetry guarantees the existence of a diagonalizing transformation, which renders both analysis and synthesis problems particularly simple. Structural constraints on multipliers reduce the complexity of the resulting coupled matrix inequalities to be of the order of a single subsystem times the number of groups. The problem can be solved by modified linear fractional transformation (LFT)-based LPV gain-scheduling synthesis methods.
Subjects
Agents-based systems
Cooperative control
Linear parameter-varying systems
DDC Class
004: Informatik