03.4 Impulse Response Function Plotting

TODO: HW from Applied Linear System

If we have a second order system- in other words, if you have a second order transfer function, you can extract the poles of the system from it.

Poles are the property that dictates system’s ability to reach steady-state (Conversely, zeros have nothing to do with stability). By the way, poles are the ones that are roots of the denominator of the transfer function.

Anyway, say,

You have a transfer function. Extract the denominator from it Pass it through the damp() function 01.3 Natural Frequency, Poles, Damping (2nd Order System) This will give you time constant. This “time constant” is what will dictate when your system will reach steady-state. Equation for time constant, $\tau=\frac{1}{\zeta\times\omega_n}$ 03.6 Pole Placement (Const Damping and Const Freq Line) s-plane So when you are plotting IRF, make sure that it is $4-5$ times the “time-constant”