Abstract:
A control system for a positioning system, for positioning a driven object, e.g. in a lithographic apparatus, in N dimensions has M sensors, where M>N. A transformation module converts the M measurements by the sensors into a positional estimate in N dimensions taking into account compliance of the driven object.
Abstract:
An object positioning system including a movable object, an actuator system and a control system. The moveable object is moveable relative to a reference. The actuator system is configured to apply a force to the object at a force application location on the object in order to move the moveable object relative to the reference. The control system is configured to position a point of interest of the object relative to the reference. The control system is configured to drive the actuator system based on a parameter representing a spatial relationship between the force application location and the point of interest. The parameter is dependent on a further parameter representing a position of the object relative to the reference.
Abstract:
A lithographic apparatus includes a driven object having compliant dynamics; a plurality of actuators configured to act on the driven object, wherein the plurality of actuators are over-determined in an actuator degree of freedom; a control system including a transformation matrix configured to generate controller output signals for each of the plurality of actuators in response to a setpoint, wherein the transformation matrix is configured such that the controller output signals do not excite the compliant dynamics of the driven object in at least one degree of freedom.
Abstract:
An exposure apparatus including a projection system configured to project a plurality of radiation beams onto a target; a movable frame that is at least rotatable around an axis; and an actuator system configured to displace the movable frame to an axis away from an axis corresponding to the geometric center of the movable frame and to cause the frame to rotate around an axis through the center of mass of the frame.
Abstract:
There is provided a positioning system for positioning an object in a lithographic apparatus. The positioning system includes a support, a position measurement device, a deformation sensor and a processor. The support is constructed to hold the object. The position measurement device is configured to measure a position of the support. The position measurement device includes at least one position sensor target and a plurality of position sensors to cooperate with the at least one position sensor target to provide a redundant set of position signals representing the position of the support. The deformation sensor is arranged to provide a deformation signal representing a deformation of one of the support and the position measurement device. The processor is configured to calibrate one of the position measurement device and the deformation sensor based on the deformation signal and the redundant set of position signals.