In this talk, we study quantized feedback control of
discrete-time linear systems using a finite-level quantizer. Motivated by the fact
that most feedback communication channels allow a moderate bit rate,
we are not particularly concerned with the problem of finding the minimum
bit rate of feedback for a given control objective. Instead, we assume
that a moderate bit rate is available and our task is to find a
practical quantization strategy that achieves a given control objective.
We introduce a simple dynamic scaling method and combine it
with a known logarithmic quantization method. Using this approach,
satisfactory control of linear systems can be achieved using a
quantizer with a moderate number of quantization levels. Two main advantages of
this approach are
These features are important for practical applications of quantized feedback control.