Optimal digital controller and observer design for multiple time-delay transfer function matrices with multiple input-output time delays

Hsun Pang Wang, Leang San Shieh, Jason S.H. Tsai, Yongpeng Zhang

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this article, we address the optimal digital design methodology for multiple time-delay transfer function matrices with multiple input-output time delays. In our approach, the multiple time-delay analogue transfer function matrix with multiple input-output time delays is minimally realised using a continuous-time state-space model. For deriving an explicit form of the optimal digital controller, the realised continuous-time multiple input-output time-delay system is discretised, and an extended high-order discrete-time state-space model is constructed for discrete-time LQR design. To derive a low-order optimal digital observer for the multiple input-output time-delay system, the multiple time-delay state obtained from the multiple time-delay outputs is discretised. Then, the well-known duality concept is employed to design an optimal digital observer using the low-order discretised multiple input time-delay system together with the newly discretised multiple time-delay state. The proposed approach is restricted to multiple time-delay systems where multiple time delays arise only in the input and output, and not in the state.

Original languageEnglish
Pages (from-to)461-476
Number of pages16
JournalInternational Journal of Systems Science
Volume39
Issue number5
DOIs
Publication statusPublished - 2008 May 1

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

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