Cell mapping description for digital control system with quantization effect

TL;DR

This paper introduces a novel cell mapping model for digital control systems that effectively captures the global dynamics affected by quantization, enabling improved analysis and control design.

Contribution

It proposes a new cell mapping-based model for quantization, addressing limitations of traditional perturbation models in control system analysis and design.

Findings

The cell model accurately describes the global dynamics of quantized systems.

Controllability and other control characteristics are analyzed using the cell mapping approach.

A finite precision control design method based on the cell concept is developed.

Abstract

Quantization problem in digital control system have attracted more and more attention in these years. Normally, a quantized variable is regarded as a perturbed copy of the unquantized variable in the research of quantization effect, but this model has shown many obvious disadvantages in control system analysis and design process. In this paper, we give a new model for quantization based 'cell mapping' concept. This cell model could clearly describe the global dynamics of quantized digital system. Then some important characteristics of control system like controllability are analyzed by this model. The finite precision control design method based on cell concept is also presented.