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Channel signal-to-noise ratio constrained feedback control: performance and robustness

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3 Author(s)
Rojas, A.J. ; ARC Centre of Excellence for Complex Dynamic Syst. & Control, Univ. of Newcastle, Newcastle, NSW ; Braslavsky, J.H. ; Middleton, R.H.

The limitations in performance and robustness imposed by explicitly considering a communication channel in a control loop have received increased attention in recent years. Previous results in the literature have stated these limitations in terms of a minimal transmission data rate necessary for stabilisation. In this paper a signal-to-noise ratio (SNR) approach is used to study two specific cases: (i) performance in terms of model matching and (ii) robustness against a multiplicative uncertainty in the plant model. The analysis performed leads to closed-form expressions that allow the quantification of the extra SNR required in both cases.

Published in:

Control Theory & Applications, IET  (Volume:2 ,  Issue: 7 )