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Stabilizability over deterministic relay networks

Publication ,  Conference
Pajic, M; Sundaram, S; Pappas, GJ
Published in: Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
December 2013

We consider the problem of linear system stabilization using a set of decentralized controllers that communicate with the plant’s sensors over a network that employs linear network coding. Our analysis is built upon an existing algebraic description of deterministic relay networks, which is able to model broadcast transmissions and multiple access channel constraints. Since these networks can be described as linear time-invariant systems with specific transfer functions, this network representation allows us to reason about the control system and network (and their interaction) using a common mathematical framework. In this paper we characterize algebraic and topological stabilizability conditions for a wide class of these networks. Our analysis shows that the (algebraic) structure of a network required for stabilization of a dynamical plant can be related to the plant’s dynamics; in particular, we prove that the geometric multiplicities of the plant’s unstable eigenvalues play a key role in the ability to stabilize the system over such networks.

Duke Scholars

Published In

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

DOI

ISSN

0743-1546

Publication Date

December 2013

Start / End Page

4018 / 4023
 

Citation

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Pajic, M., Sundaram, S., & Pappas, G. J. (2013). Stabilizability over deterministic relay networks. In Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on (pp. 4018–4023). https://doi.org/10.1109/CDC.2013.6760504
Pajic, M., S. Sundaram, and G. J. Pappas. “Stabilizability over deterministic relay networks.” In Decision and Control (CDC), 2013 IEEE 52nd Annual Conference On, 4018–23, 2013. https://doi.org/10.1109/CDC.2013.6760504.
Pajic M, Sundaram S, Pappas GJ. Stabilizability over deterministic relay networks. In: Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on. 2013. p. 4018–23.
Pajic, M., et al. “Stabilizability over deterministic relay networks.” Decision and Control (CDC), 2013 IEEE 52nd Annual Conference On, 2013, pp. 4018–23. Manual, doi:10.1109/CDC.2013.6760504.
Pajic M, Sundaram S, Pappas GJ. Stabilizability over deterministic relay networks. Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on. 2013. p. 4018–4023.

Published In

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

DOI

ISSN

0743-1546

Publication Date

December 2013

Start / End Page

4018 / 4023