Control of heterogeneous groups of LPV systems interconnected through directed and switching topologies
Control of heterogeneous groups of LPV systems interconnected through directed and switching topologies
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通过定向和交换拓扑互连的异构 LPV 系统组的控制
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
H. Werner
中科院分区：
文献类型：
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作者：
C. Hoffmann;Annika Eichler;H. Werner
提出了一种合成分布式线性参数变化（LPV）控制器的技术，用于控制通过开关定向交互拓扑互连的异质LPV系统的控制。子系统组的定义是内部无方向的相互作用，但彼此之间的定向互连。这允许构建图形拓扑的虚拟对称互连矩阵表示。对称性保证了对角转化的存在，从而使分析和合成问题特别简单。乘数上的结构约束降低了所得耦合矩阵不等式的复杂性，为单个子系统的顺序，群体数量。该问题可以通过改进的线性分数转换（LFT）基于LPV增益制定的合成方法来解决。
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.