04 - Second Order Systems
Completion requirements
6. Response of Second Order System to Unit Step Input - Critically Damped System
\(\zeta = 1\):
\[Y(t) = K_p\left[1-\left(1+\frac{t}{\tau}\right)e^{-t/\tau} \right]\]
Critical damping approaches its ultimate value faster than does an overdamped system.