Brief paper: State estimation for linear discrete-time systems using quantized measurements

Authors:
Minyue Fu;Carlos E. de Souza
Affiliations:
School of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Callaghan, Australia;Department of Systems and Control, Laboratório Nacional de Computação Científica(LNCC/MCT), Av. Getúlio Vargas 333, Petrópolis, RJ 25651-075, Brazil
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

In this paper, we consider the problem of state estimation for linear discrete-time dynamic systems using quantized measurements. This problem arises when state estimation needs to be done using information transmitted over a digital communication channel. We investigate how to design the quantizer and the estimator jointly. We consider the use of a logarithmic quantizer, which is motivated by the fact that the resulting quantization error acts as a multiplicative noise, an important feature in many applications. Both static and dynamic quantization schemes are studied. The results in the paper allow us to understand the tradeoff between performance degradation due to quantization and quantization density (in the infinite-level quantization case) or number of quantization levels (in the finite-level quantization case).