Determining Continuous-Time State Equations from Discrete-Time State Equations Via the Principal qth Root Method

Leang S. Shieh, Jason S.H. Tsai, Sui R. Lian

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

Fast computational methods are developed for finding the equivalent continuous-time state equations from discrete-time state equations. The computational methods utilize the direct truncation method, the matrix continued fraction method, and the geometric-series method in conjunction with the principal qth root of the discrete-time system matrix for quick determination of the approximants of a matrix logarithm function. It is shown that the use of the principal qth root of a matrix enables us to enlarge the convergence region of the expansion of a matrix logarithm function and to improve the accuracy of the approximants of the matrix logarithm function.

Original languageEnglish
Pages (from-to)454-457
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume31
Issue number5
DOIs
Publication statusPublished - 1986 May

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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