The observability radius of network systems
(2016) 2016 American Control Conference (ACC) — Location: Boston, MA, USA (6.July.2016)
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- Abstract
- (en) This paper introduces the observability radius of network systems, which measures the robustness of a network to perturbations of the edges. We consider linear networks, where the dynamics are described by a weighted adjacency matrix, and dedicated sensors are positioned at a subset of nodes. We allow for perturbations of certain edge weights, with the objective of preventing observability of some modes of the network dynamics. Our work considers perturbations with a desired sparsity structure, thus extending the classic literature on the controllability and observability radius of linear systems. We propose an optimization framework to determine a perturbation with smallest Frobenius norm that renders a desired mode unobservable from a given set of sensor nodes. We derive optimality conditions and a heuristic optimization algorithm, which we validate through an example.
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Citations
Bianchin, G., Frasca, P., Gasparri, A., & Pasqualetti, F. (2016). The observability radius of network systems. IEEE Xplore. Published. 2016 American Control Conference (ACC), Boston, MA, USA. https://doi.org/10.1109/acc.2016.7524913