Suppose that a feedback control system (Figure P6.45) is expected to provide an accuracy within ±Δy for a response variable y. Explain why the sensor that measures y should have a resolution of ±(Δy/2) or better for this accuracy to be possible. An x-y table has a travel of 2 m. The feedback control system is expected to provide an accuracy of ±1 mm. An optical encoder is used to measure the position for feedback
in each direction (x and y). What is the minimum bit size that is required for each encoder output buffer? If the motion sensor used is an absolute encoder, how many tracks and how many sectors should be present on the encoder disk?