Does the PID controller work with a step actuator?

Question

Microcontrollers

There is a duct air conditioner in the channels of which it is necessary to maintain the specified pressure. For this task, a PID controller (based on a microcontroller) was chosen.
There is an electronic differential pressure gauge in the channel that outputs an analog signal to the input of the microcontroller. The PID controls the fan speed in the air conditioner.
The problem is that most examples of PID controllers are designed for the fact that the performer (the object of regulation) can be regulated quite accurately and smoothly. Those. if they gave him 35.5%, then he works on this value.
In my case, the air conditioner is controlled by a 1-10v signal and has 10 steps.
A situation arises in which the PID has calculated that in order to maintain the pressure setpoint, a signal must be issued somewhere between the stages. But the performer cannot do this. It includes either a step below or above. Naturally, the feedback shows either overshoot or undershoot, and the PID again tries to correct the value.
As a result, the system never comes to stabilization.
The question is, is it possible to somehow tune the PID controller so that it works with a step performer?

Answer 1

It is enough to set the coefficient of the output signal. Don't forget about borders. It is also correct to choose the update period.