Parameters Design for Logarithmic Quantizer Based on Zoom Strategy

Abstract EN

This paper is concerned with the problem of designing suitable parameters for logarithmic quantizer such that the closed-loop system is asymptotic convergent.

Based on zoom strategy, we propose two methods for quantizer parameters design, under which it ensures that the state of the closed-loop system can load in the invariant sets after some certain moments.

Then we obtain that the quantizer is unsaturated, and thus the quantization errors are bounded under the time-varying logarithm quantization strategy.

On that basis, we obtain that the closed-loop system is asymptotic convergent.

A benchmark example is given to show the usefulness of the proposed methods, and the comparison results are illustrated.