Observability-Blocking Controls for Double-Integrator and Higher Order Integrator Networks

Fuente: arXiv
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Autori principali: Tran, Joseph D., Maruf, Abdullah Al
Natura: Preprint
Pubblicazione: 2025
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author Tran, Joseph D.
Maruf, Abdullah Al
author_facet Tran, Joseph D.
Maruf, Abdullah Al
contents The design of state-feedback controls to block observability at remote nodes is studied for double integrator network (DIN) and higher order integrator network models. A preliminary design algorithm is presented first for DIN that requires $m+2$ actuation nodes to block observability for the measurement obtained from a set of $m$ nodes. The algorithm is based on eigenstructure assignment technique and leverages the properties of the eigenvectors in DIN. Next, the topological structure of the network is exploited to reduce the number of controllers required for blocking observability. The number of actuation nodes in sparser design depends on the cardinality of a cutset separating the actuation and measurement locations. Later, the design principles are generalized for blocking observability in $N$-th order integrator network models.
format Preprint
id arxiv_https___arxiv_org_abs_2502_13328
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Observability-Blocking Controls for Double-Integrator and Higher Order Integrator Networks
Tran, Joseph D.
Maruf, Abdullah Al
Systems and Control
The design of state-feedback controls to block observability at remote nodes is studied for double integrator network (DIN) and higher order integrator network models. A preliminary design algorithm is presented first for DIN that requires $m+2$ actuation nodes to block observability for the measurement obtained from a set of $m$ nodes. The algorithm is based on eigenstructure assignment technique and leverages the properties of the eigenvectors in DIN. Next, the topological structure of the network is exploited to reduce the number of controllers required for blocking observability. The number of actuation nodes in sparser design depends on the cardinality of a cutset separating the actuation and measurement locations. Later, the design principles are generalized for blocking observability in $N$-th order integrator network models.
title Observability-Blocking Controls for Double-Integrator and Higher Order Integrator Networks
topic Systems and Control
url https://arxiv.org/abs/2502.13328