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arXiv · 1403.6351

Submodularity of Energy Related Controllability Metrics

Fabrizio L. Cortesi·Tyler H. Summers·John Lygeros
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Abstract

The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of actuators and sensors that optimize real-valued controllability and observability metrics of the network. We show that several classes of energy related metrics associated with the controllability Gramian in linear dynamical systems have a strong structural property, called submodularity. This property allows for an approximation guarantee by using a simple greedy heuristic for their maximization. The results are illustrated for randomly generated systems and for placement of power electronic actuators in a model of the European power grid.

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Fabrizio L. Cortesi, Tyler H. Summers, John Lygeros. 2014-03-25. Submodularity of Energy Related Controllability Metrics. https://doi.org/10.1109/cdc.2014.7039832

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