A Multiplex Approach Against Disturbance Propagation in Nonlinear Networks with Delays

Fuente: arXiv
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Hauptverfasser: Xie, Shihao, Russo, Giovanni
Format: Preprint
Veröffentlicht: 2022
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author Xie, Shihao
Russo, Giovanni
author_facet Xie, Shihao
Russo, Giovanni
contents We consider both leaderless and leader-follower, possibly nonlinear, networks affected by time-varying communication delays. For such systems, we give a set of sufficient conditions that guarantee the convergence of the network towards some desired behaviour while simultaneously ensuring the rejection of polynomial disturbances and the non-amplification of other classes of disturbances across the network. To fulfill these desired properties, and prove our main results, we propose the use of a control protocol that implements a multiplex architecture. The use of our results for control protocol design is then illustrated in the context of formation control. The protocols are validated both in-silico and via an experimental set-up with real robots. All experiments confirm the effectiveness of our approach.
format Preprint
id arxiv_https___arxiv_org_abs_2206_03535
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A Multiplex Approach Against Disturbance Propagation in Nonlinear Networks with Delays
Xie, Shihao
Russo, Giovanni
Systems and Control
93C10, 93D05, 93A15
We consider both leaderless and leader-follower, possibly nonlinear, networks affected by time-varying communication delays. For such systems, we give a set of sufficient conditions that guarantee the convergence of the network towards some desired behaviour while simultaneously ensuring the rejection of polynomial disturbances and the non-amplification of other classes of disturbances across the network. To fulfill these desired properties, and prove our main results, we propose the use of a control protocol that implements a multiplex architecture. The use of our results for control protocol design is then illustrated in the context of formation control. The protocols are validated both in-silico and via an experimental set-up with real robots. All experiments confirm the effectiveness of our approach.
title A Multiplex Approach Against Disturbance Propagation in Nonlinear Networks with Delays
topic Systems and Control
93C10, 93D05, 93A15
url https://arxiv.org/abs/2206.03535