Skip to main content

Topological conditions for wireless control networks

Publication ,  Conference
Pajic, M; Sundaram, S; Pappas, GJ; Mangharam, R
Published in: Proceedings of the IEEE Conference on Decision and Control
January 1, 2011

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.

Duke Scholars

Published In

Proceedings of the IEEE Conference on Decision and Control

DOI

EISSN

2576-2370

ISSN

0743-1546

Publication Date

January 1, 2011

Start / End Page

2353 / 2360
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Pajic, M., Sundaram, S., Pappas, G. J., & Mangharam, R. (2011). Topological conditions for wireless control networks. In Proceedings of the IEEE Conference on Decision and Control (pp. 2353–2360). https://doi.org/10.1109/CDC.2011.6161347
Pajic, M., S. Sundaram, G. J. Pappas, and R. Mangharam. “Topological conditions for wireless control networks.” In Proceedings of the IEEE Conference on Decision and Control, 2353–60, 2011. https://doi.org/10.1109/CDC.2011.6161347.
Pajic M, Sundaram S, Pappas GJ, Mangharam R. Topological conditions for wireless control networks. In: Proceedings of the IEEE Conference on Decision and Control. 2011. p. 2353–60.
Pajic, M., et al. “Topological conditions for wireless control networks.” Proceedings of the IEEE Conference on Decision and Control, 2011, pp. 2353–60. Scopus, doi:10.1109/CDC.2011.6161347.
Pajic M, Sundaram S, Pappas GJ, Mangharam R. Topological conditions for wireless control networks. Proceedings of the IEEE Conference on Decision and Control. 2011. p. 2353–2360.

Published In

Proceedings of the IEEE Conference on Decision and Control

DOI

EISSN

2576-2370

ISSN

0743-1546

Publication Date

January 1, 2011

Start / End Page

2353 / 2360