Smooth Output Reconstruction for Linear Systems with Quantized Measurements

• Zhu, Hongzhong

• Sugie, Toshiharu

• Fujimoto, Hiroshi

Abstract

This paper presents a novel approach to reconstruct the output of linear systems in the case where the measured output is uniformly quantized. By fitting the quantized measurements with polynomials in a moving horizon manner, a smooth signal is reconstructed by solving a convex optimization problem with ℓ1-norm regularization. The quantization feature and the system models are taken into account in the optimization. A numerical example is given to show the excellent reconstruction performance of the proposed method. In addition, the proposed method is implemented in a high-precision linear stage through DSP, and its effectiveness is verified through experiments using a real positioning system.

Article first published online: 31 JUL 2014

Journal

• Asian Journal of Control

  Asian Journal of Control 17 (3), 1039-1049, 2015-05

  wiley

Keywords

• Quantization
• polynomial fitting approach
• convex optimization
• state observer

Details

• CRID: 1050564285772382464
• NII Article ID: 120005697965
• NII Book ID: AA11366429
• ISSN: 15618625
• HANDLE: 2433/203540
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles