gives a matrix of roots of the numerators in the TransferFunctionModel tfm.
only gives the roots inside the region reg on the complex plane.
Examplesopen allclose all
Basic Examples (3)
Compute the zeros of a inverted pendulum model:
The zeros of a system with parallel subsystems:
They are different from the zeros of the individual subsystems:
The zeros of a time-delay system in a square around the origin:
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:
Wolfram Research (2010), TransferFunctionZeros, Wolfram Language function, https://reference.wolfram.com/language/ref/TransferFunctionZeros.html (updated 2012).
Wolfram Language. 2010. "TransferFunctionZeros." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/TransferFunctionZeros.html.
Wolfram Language. (2010). TransferFunctionZeros. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TransferFunctionZeros.html