Limitaciones en razón de señal a ruido en lazos de control realimentados (Signal-to-Noise Ratio Limitations in Feedback Control)

Alejandro José Rojas (arojasn@udec.cl)


Universidad de Concepción
This paper appears in: Revista IEEE América Latina

Publication Date: Sept. 2011
Volume: 9,   Issue: 5 
ISSN: 1548-0992


Abstract:
The present article is focused in the area of control over networks. The main difference with classic control is that we deal with an explicit communication channel model in the feedback control structure. The channel model is modeled as to have limited bandwidth and additive colored Gaussian noise. This allows us to study the interaction between the control and communication goals. We first briefly revisit the assumption behind the present work and formally define the problem at hand. We then review its solution in the form of the Signal-to-Noise Ratio (SNR) fundamental limitation for stabilizability result. We extend the stabilizability result to include the following performance scenarios: closed-loop arbitrary pole assignment, robustness, set point tracking and the effect of channel input quantization. We finally conclude the present paper by studying the capacity resulting from these performance limitations for the case of a memoryless additive white Gaussian noise (AWGN) channel.

Index Terms:
Linear Systems, Fundamental limitation, Performance limitation, Signal-to-noise ratio, Control over network.   


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