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Chiuso, Alessandro and Laurenti, Nicola and Schenato, Luca and Zanella, Andrea (2014) LQG control over communication channels: the role of data losses, delays and SNR limitations. [Technical Report] (Inedito)

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Abstract (english)

In this work we address the problem feedback control design in the presence of a blue communication channel, which gives rise to tightly coupled limitations in terms of quantization errors, decoding/computational delays and packet loss affecting the closed loop control performance. We restrict our analysis in the context of LQG control subject to SNR limitations, packet loss, and delay, and we derive their impact on optimal design for the controller parameters. In particular, we show that the stability of the closed loop system depends on a tradeoff among quantization, packet loss probability and delay. Through this analysis we are also able to recover, as special cases, several results already available in the literature that have treated packet loss, quantization error and delay separately.
We also show that blue the estimator and controller cannot be design independently even if the controller has full knowledge of the packet loss sequence and the control inputs to the plant. In fact the optimal control gain, when accounting for the communication constraints is, in general, different from the optimal gain derived under the classical LQG scenario, which is recaptured when the SNR over the channel goes to infinity.

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EPrint type:Technical Report
Anno di Pubblicazione:28 February 2014
Settori scientifico-disciplinari MIUR:Area 09 - Ingegneria industriale e dell'informazione > ING-INF/03 Telecomunicazioni
Area 09 - Ingegneria industriale e dell'informazione > ING-INF/04 Automatica
Struttura di riferimento:Dipartimenti > Dipartimento di Ingegneria dell'Informazione
Codice ID:6891
Depositato il:11 Mar 2014 13:23
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