Digital controller design for analog systems represented by multiple input-output time-delay transfer function matrices with long time delays

Hsun Pang Wang, Xiaohui Gu, Linbo Xie, Leang San Shieh, Jason Sheng-Hon Tsai, Yongpeng Zhang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper presents a digital controller design methodology for multivariable analog systems represented by minimally realizable multiple input-output timedelay transfer function matrices with long time delays. First, the analog transfer function matrix with multiple input-output time delays is minimally realized and represented by a delay-free state-space model and a multiple output-delay function. For a specific multiple time-delay transfer function matrix with complex poles, a minimal realization scheme is newly proposed. Then the minimized delay-free state-space model is utilized for linear quadratic regulator (LQR) design. Furthermore, the designed analog LQR is digitally redesigned via a predictive state-matching method for finding a low-gain digital controller from the pre-designed high-gain analog controller. For implementation of the digitally redesigned controller, a digital observer is constructed for the multiple time-delay system with long time delays. An illustrative example is given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)1653-1676
Number of pages24
JournalCircuits, Systems, and Signal Processing
Volume31
Issue number5
DOIs
Publication statusPublished - 2012 Oct 1

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Applied Mathematics

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