About PID program block issue of simulink

The PID block formula in simulink and the standard PID formula is not the same。 The PID block formula in simulink：

The standard PID formula:

For example, a simple step response, when you build your own PID block, how to design PID program block ？

The parameters of the PID are same ：Kp=0.8 Ki=0 Kd=0.85 But the results will be some different。

I would like to know how to make the above two simulink procedures to express the same results？

Answer 1

[Arkadiy Turevskiy]

PID Controller block supports two forms - parallel and ideal. Ideal form is very similar to the standard form you want.