SKEDSOFT

Second-order systems Rise Time:

Here the rise time is obtained in terms of . The system is assumed to be underdamped.

Considering the equation,

we obtain the rise time t_r by letting c(t_r) = 1 or

We obtain from the above equation, the following equation:

where β is defined in Figure 1.

Fig: 1 Definition of β

Clearly, for a small value of t_r,  ω_d must be large.