Precise-positioning technique is relatively well developed. However, i
t is still difficult to avoid an overshoot or to limit the overshoot w
ithin a submicrometer in a rapid and precise positioning. Inspired by
recent studies on microdynamics, a control algorithm based on the vari
able structure control (VSC) method is proposed to achieve an overshoo
t smaller than 0.2 mu m and rapid, precise positioning (a 0.5 mm simil
ar to 1 cm positioning with a steady-state error smaller than 30 nanom
eter in 0.5 s) with a linear motor drive stage. The stage is guided by
a rolling ball guide and with a 10 nm resolution laser interferometer
as its position sensor. Some characteristic values in the friction mo
del of microdynamics are included to design the controller. Therefore,
we found a way to achieve rapid, precise, and small overshoot positio
ning by combining mechanism design, system identification, lubrication
, and controller design techniques. (C) Elsevier Science Inc., 1997.