A novel linear quadratic observer and tracker for the linear sampled data regular system with a direct feedthrough term: A digital redesign approach

Chia Hsing Chen, Jason S.H. Tsai, Ming Jer Lin, Shu Mei Guo, Leang San Shieh

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper develops a novel linear quadratic observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. At the beginning, we use some existing techniques to decompose the singular system into an equivalent regular system which has a direct transmission term from input to output. Then, based on this equivalent regular system, a high-gain optimal linear quadratic analogue observer and tracker is proposed, so that it can effectively induce a high-quality performance on the trajectory-tracking design and the state estimation. Besides, the prediction-based digital redesign method is utilized to obtain a relatively low-gain and implementable digital tracker and observer from the theoretically well-designed high-gain analogue observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. Several illustrated examples are given to demonstrate the performance and effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)129-154
Number of pages26
JournalIMA Journal of Mathematical Control and Information
Volume30
Issue number1
DOIs
Publication statusPublished - 2013 Mar

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Applied Mathematics

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