TransferFunctionZeros
gives a matrix of roots of the numerators in the TransferFunctionModel tfm.
TransferFunctionZeros[tfm,reg]
only gives the roots inside the region reg on the complex plane.
Examples
open allclose allBasic Examples (3)
Scope (5)
Applications (3)
Properties & Relations (3)
For SISO systems, the zeros block the transmission of specific input signals:
The steady-state response of the system to Sin[0.5 t] is zero:
The response to Sin[5 t] does not go to zero:
A damped second-order system with a minimum-phase zero:
The rise time decreases and the overshoot increases as the zero moves away from the poles:
The response of a system with nonminimum-phase zeros starts out in the reverse direction:
Possible Issues (1)
TransferFunctionZeros may not find solutions for time-delay systems:
Text
Wolfram Research (2010), TransferFunctionZeros, Wolfram Language function, https://reference.wolfram.com/language/ref/TransferFunctionZeros.html (updated 2012).
CMS
Wolfram Language. 2010. "TransferFunctionZeros." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/TransferFunctionZeros.html.
APA
Wolfram Language. (2010). TransferFunctionZeros. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TransferFunctionZeros.html