Delta-Operator Formulated Discrete-Time Approximations of Continuous-Time Systems

K. Premaratne, R. Salvi, N. R. Habib, J. P. LeGall

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


Given a continuous-time system, a technique to directly obtain an approximate delta-operator formulated discrete-time system (δ-system) is presented. For this purpose, the analog of the well known Boxer-Thaler integrators (q-forms) applicable to shift-operator formulated discrete-time systems (q-systems) are derived for δ-systems. Next, using these δ-forms, a method to obtain an approximate δ-system of a given continuous-time system is derived. This algorithm is easily implementable in a computer with little computational burden. It is shown that, as sampling time decreases, the δ-system thus obtained yields the given continuous-time system further verifying the close equivalence between this formulation and continuous-time systems. Two examples illustrating advantages that may be gained by utilizing these δ-forms in digitizing analog systems are also included.

Original languageEnglish (US)
Pages (from-to)581-585
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number3
StatePublished - Mar 1994

ASJC Scopus subject areas

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


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