This is the basic version of the single phase PLL. Knowing the
Amplitude of the input signal u, an adaptive
PI-controller can be used (like in the enhanced version of
the single phase PLL.
The output y[1] is a cosine signal in phase with
the input u, the output y[2] is a sine
signal 90° phase shifted to y[1].
Problems: especially a double-frequency ripple on the estimated
frequency resp. angular velocity ω = 2 π f = w.