Snapshot of the front panel of the simulator:
Description of the simulated system
The following general second order transfer function model is
y(s)/u(s) = H(s) = (b1s + b0)/(s2
+ a1s + a0)
H(s) can have both poles and zeros. You can determine the coefficients
of the numerator and the denominator polynomial.
The aims of this simulator is to develop the understanding of the
relation between poles and zeros and the time response of transfer
Transfer function models are frequently used in signal processing (to represent
signal filters) and control theory (to represent process models,
controllers, and sensors).
It is assumed that you answer the following questions by running the
- Is it confirmed that the system is unstable if the system has at
least one pole in the right half plane? (You may set b1 = 0;
b0 = 1; a1 = -0.2; a0 = 1;)
- Is it confirmed that the system is on the stability limit if the
system have poles on the imaginary axis (and no poles in the right half
plane)? (You may set b1 = 0; b0 = 1; a1 =
0; a0 = 1;)
- Find (by calculation) the static transfer function Hs
of the system.
Assume that the input u is a step of amplitude U.
Calculate the corresponding static response, ys. Is
the resultat confirmed in a simulation? (You may set b1 = 0;
b0 = 1; a1 = 1; a0 = 1;)
- Is it confirmed that a zero in the right half plane causes an
inverse response (assuming a step in the setpoint)? (You may set b1 =
-2; b0 = 1; a1 = 1; a0 = 1;)
Updated 17. January 2008.