SystemsModelDelayApproximate[sys,ord]
gives a delay-free system by using approximations of order ord of the time delays in system sys.


SystemsModelDelayApproximate
SystemsModelDelayApproximate[sys,ord]
gives a delay-free system by using approximations of order ord of the time delays in system sys.
Details and Options

- The system can be either a StateSpaceModel or a TransferFunctionModel.
- For continuous-time systems, delays are approximated using PadeApproximant with order ord.
- For discrete-time systems, delays are approximated poles for the integer part of the delay and a Thiran all-pass filter of order ord for the fractional part of the delay.
Examples
open all close allBasic Examples (2)
Scope (4)
A continuous-time StateSpaceModel with symbolic delay:
A discrete-time StateSpaceModel:
A continuous-time TransferFunctionModel:
A discrete-time TransferFunctionModel with integer delay:
Generalizations & Extensions (1)
Applications (1)
Properties & Relations (1)
Related Guides
History
Text
Wolfram Research (2012), SystemsModelDelayApproximate, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelDelayApproximate.html.
CMS
Wolfram Language. 2012. "SystemsModelDelayApproximate." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SystemsModelDelayApproximate.html.
APA
Wolfram Language. (2012). SystemsModelDelayApproximate. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemsModelDelayApproximate.html
BibTeX
@misc{reference.wolfram_2025_systemsmodeldelayapproximate, author="Wolfram Research", title="{SystemsModelDelayApproximate}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/SystemsModelDelayApproximate.html}", note=[Accessed: 06-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_systemsmodeldelayapproximate, organization={Wolfram Research}, title={SystemsModelDelayApproximate}, year={2012}, url={https://reference.wolfram.com/language/ref/SystemsModelDelayApproximate.html}, note=[Accessed: 06-August-2025]}