A Framework for Control System Design Subject to Average Data-Rate Constraints
This paper studies discrete-time control systems subject to average data-rate limits. We focus on a situation where a noisy linear system has been designed assuming transparent feedback and, due to implementation constraints, a source-coding scheme (with unity signal transfer function) has to be dep...
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| Published in | IEEE transactions on automatic control Vol. 56; no. 8; pp. 1886 - 1899 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.08.2011
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9286 1558-2523 2334-3303 1558-2523 |
| DOI | 10.1109/TAC.2010.2098070 |
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| Abstract | This paper studies discrete-time control systems subject to average data-rate limits. We focus on a situation where a noisy linear 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 class of source-coding schemes built around entropy coded dithered quantizers, we develop a framework to deal with average data-rate constraints in a tractable manner that combines ideas from both information and control theories. As an illustration of the uses of our framework, we apply it to study the interplay between stability and average data-rates in the considered architecture. It is shown that the proposed class of coding schemes can achieve mean square stability at average data-rates that are, at most, 1.254 bits per sample away from the absolute minimum rate for stability established by Nair and Evans. This rate penalty is compensated by the simplicity of our approach. |
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| AbstractList | This paper studies discrete-time control systems subject to average data-rate limits. We focus on a situation where a noisy linear 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 class of source-coding schemes built around entropy coded dithered quantizers, we develop a framework to deal with average data-rate constraints in a tractable manner that combines ideas from both information and control theories. As an illustration of the uses of our framework, we apply it to study the interplay between stability and average data-rates in the considered architecture. It is shown that the proposed class of coding schemes can achieve mean square stability at average data-rates that are, at most, 1.254 bits per sample away from the absolute minimum rate for stability established by Nair and Evans. This rate penalty is compensated by the simplicity of our approach. |
| Author | Ostergaard, J. Derpich, M. S. Silva, E. I. |
| Author_xml | – sequence: 1 givenname: E. I. surname: Silva fullname: Silva, E. I. email: eduardo.silva@usm.cl organization: Dept. de Electron., Univ. Tec. Federico Santa Maria, Valparaiso, Chile – sequence: 2 givenname: M. S. surname: Derpich fullname: Derpich, M. S. email: milan.derpich@usm.cl organization: Dept. de Electron., Univ. Tec. Federico Santa Maria, Valparaiso, Chile – sequence: 3 givenname: J. surname: Ostergaard fullname: Ostergaard, J. email: janoe@ieee.org organization: Dept. of Electron. Syst., Aalborg Univ., Aalborg, Denmark |
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| Keywords | perfect reconstruction Feedback regulation Control synthesis Entropy Distributed system Information control Absolute stability Average data-rate Discrete time signal-to-noise ratio Distributed control networked control systems Quantifier Transfer function State constraint Signal to noise ratio Information theory |
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| SubjectTerms | Applied sciences Average data-rate Channel coding Computer science; control theory; systems Computer systems and distributed systems. User interface Control system synthesis Control systems Control systems design Control theory Control theory. Systems Decoding Entropy Exact sciences and technology Feedback Focusing Linear systems Mutual information networked control systems perfect reconstruction Process control. Computer integrated manufacturing Quantization Rate-distortion signal-to-noise ratio Silicon Software Stability Studies System theory |
| Title | A Framework for Control System Design Subject to Average Data-Rate Constraints |
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