rise_time Function

public pure elemental function rise_time(wn, zeta) result(rst)

Computes the rise time for an underdamped, second-order system. The rise time is the time it takes for the system response to go from 0% to 100% of its final value and is given by the following relationship.

$$t_r = \frac{1}{\omega_d} \left( \pi - \arctan \frac{\sqrt{1 - zeta^2}}{\zeta} \right)$$

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	wn	The resonant frequency of the system, in rad/s.
real(kind=real64),	intent(in)			::	zeta	The damping ratio of the system. This value must be less than 1 as this relationship is only valid for an underdamped system.

Return Value real(kind=real64)

The rise time, in units of seconds.

Contents