Topological conditions for wireless control networks

Conference Paper

We study the problem of stabilizing a linear system over a wireless control network. We propose a scheme where each wireless node maintains a scalar state, and periodically updates it as a linear combination of neighboring plant outputs and node states. We make connections to decentralized fixed modes and structured system theory to provide conditions on the network topology that allow the system to be stabilized. Our analysis provides the minimal number of feedback edges that have to be introduced to stabilize the system over a network, and shows that as long as the network connectivity is larger than the geometric multiplicity of any unstable eigenvalue, stabilizing controllers can be constructed at each actuator. A byproduct of our analysis is that by co-designing the network dynamics with the controllers, delays in the network are not a factor in stabilizing the system. © 2011 IEEE.

Full Text

Duke Authors

Cited Authors

  • Pajic, M; Sundaram, S; Pappas, GJ; Mangharam, R

Published Date

  • January 1, 2011

Published In

Start / End Page

  • 2353 - 2360

Electronic International Standard Serial Number (EISSN)

  • 2576-2370

International Standard Serial Number (ISSN)

  • 0743-1546

International Standard Book Number 13 (ISBN-13)

  • 9781612848006

Digital Object Identifier (DOI)

  • 10.1109/CDC.2011.6161347

Citation Source

  • Scopus