For a continuous-time, linear, time-invariant system with transfer function
Y(s)/R(s) = G(s) and a unit-step input signal, R(s)
= 1/s, the Laplace transform of the response is Y(s)
= G(s)/s. If the system is stable, the steady-state value
of the response will be y(t) = G(0). This is called the dc-gain
of the system. To view the unit-step response y(t) for the transfer
function
K (s-z1)(s-z2)...(s-zm) G(s) = --------------------- (s-p1)(s-p2)...(s-pn)
To see the unit-step response change as a pole or zero is moved, click Move and drag the pole or zero. (Remember that the default gain value changes to maintain G(0) = 1.)
Applet by Brian Woo. |