Title | ||
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An Achievable Data-Rate Region Subject to a Stationary Performance Constraint for LTI Plants |
Abstract | ||
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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. Silva | 1 | 197 | 17.48 |
Milan S. Derpich | 2 | 93 | 14.03 |
Jan Østergaard | 3 | 201 | 28.38 |