  It is well-known that measuring the input voltage and current, as the
feedforward and feedback terms, are vital for the controller design in the
problem of power factor compensation of an AC-DC boost converter. Traditional
adaptive scenarios correspond to the simultaneous estimation of these variables
are failed because the system dynamics is not in the classical adaptive form.
In this paper, the system dynamics is immersed to a proper form by a new
filtered transformation to overcome the obstacle. The phase and amplitude of
the input voltage along with the input current is estimated from the output
voltage with global convergent. An application of the proposed estimator is
presented in conjunction with a well-known dynamic controller. The estimator
and controller performances are evaluated by some realistic simulations.
