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arXiv · 2103.08740

Observability-Blocking Control using Sparser and Regional Feedback for Network Synchronization Processes

Abdullah Al Maruf·Sandip Roy
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Abstract

The design of feedback control systems to block observability in a network synchronization model, i.e. to make the dynamics unobservable from measurements at a subset of the network's nodes, is studied. First, a general design algorithm is presented for blocking observability at any specified group of $m$ nodes, by applying state feedback controls at $m+2$ specified actuation nodes. The algorithm is based on a method for eigenstructure assignment, which allows surgical modification of particular eigenvectors to block observability while preserving the remaining open-loop eigenstructure. Next, the topological structure of the network is exploited to reduce the number of controllers required for blocking observability; the result is based on blocking observability on the nodes associated with a vertex-cutset separating the actuation and measurement locations. Also, the design is modified to encompass regional feedback controls, which only use data from a subset of accessible nodes. The regional feedback design does not maintain the open-loop eigenstructure, but can be guaranteed to preserve stability via a time-scale argument. The results are illustrated with numerical examples.

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Abdullah Al Maruf, Sandip Roy. 2021-09-10. Observability-Blocking Control using Sparser and Regional Feedback for Network Synchronization Processes. https://arxiv.org/abs/2103.08740

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