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An Achievable Data-Rate Region Subject to a Stationary Performance Constraint for LTI Plants

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3 Author(s)
Silva, E.I. ; Dept. de Electron., Univ. Tec. Federico Santa Maria, Valparaiso, Chile ; Derpich, M.S. ; Ostergaard, J.

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.

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Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 8 )