Title
An Achievable Data-Rate Region Subject to a Stationary Performance Constraint for LTI Plants
Abstract
This note studies the performance of control systems subject to average data-rate limits. We focus on a situation where a noisy LTI system has been designed assuming transparent feedback and, due to implementation constraints, a source coding scheme (with unity signal transfer function) has to be deployed in the feedback path. For this situation and by focusing on a specific source coding scheme, we give a closed-form upper bound on the minimal average data-rate that allows one to attain a given performance level. Instrumental to our main result is the explicit solution of a related signal-to-noise ratio minimization problem, subject to a closed loop performance constraint.
Year
DOI
Venue
2011
10.1109/TAC.2011.2139430
Automatic Control, IEEE Transactions
Keywords
Field
DocType
closed loop systems,control system synthesis,linear systems,networked control systems,source coding,LTI plants,average data-rate limits,closed loop performance constraint,closed-form upper bound,control system performance,noisy LTI system,signal-to-noise ratio minimization problem,source coding scheme,transparent feedback,Average data-rate,networked control systems (NCSs),perfect reconstruction,signal-to-noise ratio (SNR)
LTI system theory,Mathematical optimization,Linear system,Upper and lower bounds,Control theory,Signal-to-noise ratio,Loop performance,Transfer function,Quantization (signal processing),Mathematics,Signal transfer function
Journal
Volume
Issue
ISSN
56
8
0018-9286
Citations 
PageRank 
References 
11
0.54
17
Authors
3
Name
Order
Citations
PageRank
Eduardo I. Silva119717.48
Milan S. Derpich29314.03
Jan Østergaard320128.38