Verifying impulse response

[cnpcshangbo]

When we do discretization, we need to keep the two transfer functions have the same impulse response.
1/(1+s)
c2d Ts=0.01 z model

[cnpcshangbo]

When using irid with s^1.9, the impulse response plot has a bug. When the impulse plot fit, it will appear not fit. It needs to multiply 1/Ts to make it look fit.
913b1a2
To verify this, we need a Simulink model to add setpoint as a pulse, then check if it really fit.