On-Off Control With Hysteresis Circuit

We can use inverting Schmitt trigger circuit for this application
Inverting Schmitt trigger
the circuit can be view as an inverting –type threshold detector whose
threshold is controlled by the out put since the output has two stable
state, this threshold has two possible values,namly

Vth = R1*Voh/(R1+R2)
Vtl = R1*Vol/(R1+R2)

The hysteresis width is defined as
Hw = Vth – Vtl = R1*( Voh – Vol )/( R1 + R2 )

Behaviour of circuit show in below picture.

Sample waveforms