Minimal realisation of the transfer function matrix with multiple time delays

H. P. Wang, L. S. Shieh, Y. Zhang, Jason Sheng-Hon Tsai

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A minimal realisation scheme for a class of multiple time-delay transfer function matrices with distinct poles is presented. Also, a simple minimal realisation method is developed for a specific two-input-two-output multiple time-delay system whose poles can be repeated. In addition, a state-space discretisation technique developed for a multivariable system with a single time delay is extended to a multivariable system with multiple time delays. Finally, it should be mentioned that the proposed approach is restricted to systems where multiple time delays arise only in the input and output, and not in the state. Illustrative examples are given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)1294-1301
Number of pages8
JournalIET Control Theory and Applications
Volume1
Issue number5
DOIs
Publication statusPublished - 2007 Aug 24

Fingerprint

Minimal Realization
Multiple Time Delays
Transfer Function
Transfer functions
Time delay
Multivariable Systems
Multivariable systems
Pole
Poles
Output
Time-delay Systems
Time Delay
State Space
Discretization
Distinct
Demonstrate

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

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Minimal realisation of the transfer function matrix with multiple time delays. / Wang, H. P.; Shieh, L. S.; Zhang, Y.; Tsai, Jason Sheng-Hon.

In: IET Control Theory and Applications, Vol. 1, No. 5, 24.08.2007, p. 1294-1301.

Research output: Contribution to journalArticle

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