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    Item type:Publication, Access status: without files ,
    Control of heterogeneous groups of LPV systems interconnected through directed and switching topologies
    (IEEE, 2014-06)
    Hoffmann, Christian
    ;
    Eichler, Annika
    ;
    Werner, Herbert
    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.
    Publicationtype: Journal Article
      20
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    Item type:Publication, Access status: without files ,
    Reduced-size LFT closed-loop modeling of decomposable systems with simplified controller synthesis
    (IEEE, 2014-06)
    Eichler, Annika
    ;
    Hoffmann, Christian
    ;
    Werner, Herbert
    Recently, distributed robust output feedback control synthesis has been considered for a subclass of interconnected linear parameter-varying (LPV) systems, referred to as decomposable systems. In the synthesis procedure, the interconnection and the LPV uncertainty are described as linear fractional transformations (LFTs), and conditions derived by the full block S-procedure are solved iteratively. Here different approaches are presented to reduce the size of the LFT channels and thus the number of variables in the synthesis. Furthermore, an alternative synthesis procedure is presented, which in contrast to previously reported results avoids the inversion of multipliers.
    Publicationtype: Journal Article
      24