  Quantum measurements disturb the quantum system being measured, and this is
known as measurement-induced backaction. In this work, we consider a double
quantum dot monitored by a nearby quantum point contact where the
measurement-induced backaction plays an important role. Taking advantage of the
quantum master equation approach, we calculate the tunnelling current, and
propose a simple feedbackcontrol law to realize and stabilize the tunnelling
current. Theoretical analysis and numerical simulations show that the feedback
control law can make the current quickly convergent to the desired value.
