Topological Conditions for Wireless Control Networks

Loading...
Thumbnail Image
Penn collection
Real-Time and Embedded Systems Lab (mLAB)
Degree type
Discipline
Subject
Controls and Control Theory
Electrical and Electronics
Funder
Grant number
License
Copyright date
Distributor
Related resources
Contributor
Abstract

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.

Advisor
Date of presentation
2011-01-01
Conference name
Real-Time and Embedded Systems Lab (mLAB)
Conference dates
2023-05-17T06:38:32.000
Conference location
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
50th IEEE Conference on Decision and Control (CDC) and European Control Conference, Orlando, FL, December 2012
Recommended citation
Collection