To identify the model and study the possibility of chaotic motion of the gas lubricated stage, the dynamical behavior of the
stage with gas-lubricated bearings in optical lithography is studied theoretically and experimentally. A model of the bearing
is established by a single mode approximation using the Navier-stokes equation and the Newton equation. The setup of the stage
is dragged by a linear motor, and its positions in three directions are detected by three laser interferometers. Analysis
of the dynamics of the stage is carried out too. The results show that the amplitude frequency response of the stage is largely
affected by the nonlinear air bearings, and the positioning accuracy is affected by the gap of the air bearings, as well as
the control method. So the suitable gap of the air bearing should be taken into account when designing and manufacturing the
ultra precision positioning stage.
Keywords Dynamical analysis - Gas lubricated bearing - Ultra precision positioning stage