Optimal decentralized sigma-delta modulators for quantized feedback control

• Minami Yuki

  Department of Control Engineering, Maizuru National College of Technology

• Azuma Shun-ichi

  Graduate School of Informatics, Kyoto University

• Sugie Toshiharu

  Graduate School of Informatics, Kyoto University

Abstract

This paper addresses a problem of designing decentralized sigma-delta modulators for quantized control, i.e., feedback control subject to quantized signal constraints. The sigma-delta modulators to be considered here have a limited information structure so as to be implemented in a decentralized manner, which poses a challenging design problem. We first analytically derive a solution to the problem such that the resulting quantized feedback system optimally approximates the corresponding unquantized system. Next, the performance is demonstrated by a numerical simulation and an experiment for the stabilization problem of a seesaw-cart system.

Journal

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 3 (3), 386-404, 2012

  The Institute of Electronics, Information and Communication Engineers

Keywords

• sigma-delta modulator
• feedback control
• quantized control

Details

• CRID: 1390001205344609408
• NII Article ID: 130002139303
• DOI: 10.1587/nolta.3.386
• BIBCODE: 2012NTA.....3..386M
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/3/3/3_386/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed