Quantized output feedback stabilization by Luenberger observers

TL;DR

This paper investigates stabilization of control systems with quantized output feedback using Luenberger observers, deriving data-rate conditions and comparing them with previous results through numerical examples.

Contribution

It extends stabilization conditions to cases with both input and output quantization and incorporates quantized estimates as centers, advancing control theory for quantized systems.

Findings

Derived new data-rate conditions for stabilization with quantized output.

Generalized results to systems with quantized input and output.

Numerical comparison shows improved or comparable performance.

Abstract

We study a stabilization problem for systems with quantized output feedback. The state estimate from a Luenberger observer is used for control inputs and quantization centers. First we consider the case when only the output is quantized and provide data-rate conditions for stabilization. We next generalize the results to the case where both of the plant input and output are quantized and where controllers send the quantized estimate of the plant output to encoders as quantization centers. Finally, we present the numerical comparison of the derived data-rate conditions with those in the earlier studies and a time response of an inverted pendulum.