Abstract: A method of determining a desired relative position between a first object of a lithographic apparatus and a second object of the lithographic apparatus. Generating a measurement signal representing a position of the first object relative to the second object, at an initial relative position. Determining a gradient associated with the initial relative position, based on the measurement signal. Determining a position set point based on the gradient and wherein the position set point comprises a three-dimensional dither signal. Controlling the position of the first object relative to the second object to a further relative position, based on the position set point.

Abstract: A method of determining a desired relative position between a first object of a lithographic apparatus and a second object of the lithographic apparatus. Generating a measurement signal representing a position of the first object relative to the second object, at an initial relative position. Determining a gradient associated with the initial relative position, based on the measurement signal. Determining a position set point based on the gradient and wherein the position set point comprises a three-dimensional dither signal. Controlling the position of the first object relative to the second object to a further relative position, based on the position set point.

Abstract: A position measurement system to determine a position of a first object relative to a second object, includes an encoder head mounted on the first object, a grating mounted on the second object, wherein the grating includes a first array of grating lines in a first direction and a second array of grating lines in a second direction to diffract a measurement beam incident on the first and second arrays in at least one first diffracted beam in the first direction and in at least one second diffracted beam in the second direction, wherein the first diffracted beam is for position measurement in the first direction and the second diffracted beam is for position measurement in the second direction, wherein the measurement beam has a power quantity, and the grating is configured to distribute the power quantity unevenly over the first and second diffracted beams.

Abstract: A lithographic apparatus including a moveable object (WT) and a displacement measuring system arranged to determine a position quantity of the moveable object. The displacement measuring system includes an encoder (BC) and a grid structure. One of the encoder and the grid structure is connected to the moveable object. The grid structure includes a high precision grid portion (HG) and a low precision grid portion (LG). The encoder is arranged to cooperate with the high precision grid portion to determine the position quantity relative to the grid structure with a high precision. The encoder is arranged to cooperate with the low precision grid portion to determine the position quantity relative to the grid structure with a low precision.

Abstract: A positioning system for positioning an object in a lithographic apparatus, including: a first and second object tables moveable in an operating area; a first position measurement system to provide an incremental position measurement of the second object table relative to a reference when in the operating area, wherein the first position measurement system is configured to provide an absolute position measurement of the first object table relative to the reference; a second position measurement system to provide an absolute position measurement of the first object table relative to the second object table, and wherein the first position measurement system is further configured to provide an absolute position measurement of the second object table relative to the reference based on the absolute position measurement of the first object table relative to the reference and on the absolute position measurement of the first object table relative to the second object table.

Abstract: A position measurement system to determine a position of a first object relative to a second object, includes an encoder head mounted on the first object, a grating mounted on the second object, wherein the grating includes a first array of grating lines in a first direction and a second array of grating lines in a second direction to diffract a measurement beam incident on the first and second arrays in at least one first diffracted beam in the first direction and in at least one second diffracted beam in the second direction, wherein the first diffracted beam is for position measurement in the first direction and the second diffracted beam is for position measurement in the second direction, wherein the measurement beam has a power quantity, and the grating is configured to distribute the power quantity unevenly over the first and second diffracted beams.

Abstract: A positioning system for positioning an object in a lithographic apparatus, including: a first and second object tables moveable in an operating area; a first position measurement system to provide an incremental position measurement of the second object table relative to a reference when in the operating area, wherein the first position measurement system is configured to provide an absolute position measurement of the first object table relative to the reference; a second position measurement system to provide an absolute position measurement of the first object table relative to the second object table, and wherein the first position measurement system is further configured to provide an absolute position measurement of the second object table relative to the reference based on the absolute position measurement of the first object table relative to the reference and on the absolute position measurement of the first object table relative to the second object table.

Abstract: A lithographic apparatus including a moveable object (WT) and a displacement measuring system arranged to determine a position quantity of the moveable object. The displacement measuring system includes an encoder (BC) and a grid structure. One of the encoder and the grid structure is connected to the moveable object. The grid structure includes a high precision grid portion (HG) and a low precision grid portion (LG). The encoder is arranged to cooperate with the high precision grid portion to determine the position quantity relative to the grid structure with a high precision. The encoder is arranged to cooperate with the low precision grid portion to determine the position quantity relative to the grid structure with a low precision.

Abstract: A position measurement system includes a first part and a second part for determining a position of a first member relative to a second member by providing a position signal representing a position of the first part relative to the second part, and a computational unit comprising an input terminal for receiving the position signal. The computational unit is configured to, in use, apply a conversion to the position signal to obtain a signal representing a position of the first member relative to the second member; and apply an adjustment to the conversion to at least partly compensate for a drift of the first part or the second part or both. The adjustment is based on a predetermined drift characteristic of the first part or the second part or both respectively. The predetermined drift characteristic includes one or more base shapes of the first part and/or the second part.

Abstract: A lithographic apparatus includes a stage to hold an object, the stage being moveable relative to a reference structure in a motion range; a magnet structure to provide a spatially varying magnetic field in at least a part of the motion range, the magnet structure being moveable relative to the reference structure and the stage; a first position measurement system to provide a first measurement signal corresponding to a position of the stage and/or the object in a measurement direction relative to the reference structure; a second position measurement system to provide a second measurement signal corresponding to a position of the stage relative to the magnet structure; and a data processor to correct the first measurement signal with a value dependent on the second measurement signal to provide a corrected first measurement signal representative of the position of the stage and/or the object relative to the reference structure in the measurement direction.

Abstract: A measurement system is configured to derive a position quantity of an object, the measurement system includes at least one position quantity sensor configured to provide respective position quantity measurement signals; a position quantity calculator configured to determine a position quantity of the object from the position quantity measurement signal, wherein the position quantity calculator includes a torsion estimator configured to estimate a torsion of the object, the position quantity calculator being configured to correct the determined position quantity of the object for the estimated torsion.

Abstract: A position measurement system to measure a position of a movable stage includes a reference plate; a plurality of sensors arranged such that, depending on a position of the movable stage relative to the reference plate, at least a subset of the plurality of sensors is configured to cooperate with the reference plate to provide for each of the sensors in the subset respective sensor signals representative of a position of the respective sensor relative to the reference plate; and a processor arranged to determine from the sensor signals a stage position, the processing device configured so as to, when the stage is in a position where an over-determined number of sensor signals is provided by at least the subset of the sensors that are in operational cooperation with the reference plate, (a) determine the stage position from a subset of the over-determined number of sensor signals, and (b) correct a sensor signal of one or more of the sensors from a discrepancy between the determined stage position and a remain

Abstract: A position measurement system includes a first part and a second part for determining a position of a first member relative to a second member by providing a position signal representing a position of the first part relative to the second part, and a computational unit comprising an input terminal for receiving the position signal. The computational unit is configured to, in use, apply a conversion to the position signal to obtain a signal representing a position of the first member relative to the second member; and apply an adjustment to the conversion to at least partly compensate for a drift of the first part or the second part or both. The adjustment is based on a predetermined drift characteristic of the first part or the second part or both respectively. The predetermined drift characteristic includes one or more base shapes of the first part and/or the second part.

Abstract: A control system controls a support structure of a lithographic apparatus. A first measurement system measures the position of a substrate supported by the support structure, in a first coordinate system. A second measurement system measures the position of the support structure in a second coordinate system, the first measurement system having a presumed position in the second coordinate system. A controller controls the position of the support structure based on measurements by the second measurement system, to convert the measured position of the substrate into a converted position of the support structure in the second coordinate system, to position the support structure based on the converted position, to receive a position error signal indicative of a difference between the presumed position and an actual position of the first measurement system in the second coordinate system, and to position the support structure dependent upon the position error signal.

Abstract: A measurement system is configured to derive a position quantity of an object, the measurement system includes at least one position quantity sensor configured to provide respective position quantity measurement signals; a position quantity calculator configured to determine a position quantity of the object from the position quantity measurement signal, wherein the position quantity calculator includes a torsion estimator configured to estimate a torsion of the object, the position quantity calculator being configured to correct the determined position quantity of the object for the estimated torsion.

Abstract: A lithographic apparatus includes a stage to hold an object, the stage being moveable relative to a reference structure in a motion range; a magnet structure to provide a spatially varying magnetic field in at least a part of the motion range, the magnet structure being moveable relative to the reference structure and the stage; a first position measurement system to provide a first measurement signal corresponding to a position of the stage and/or the object in a measurement direction relative to the reference structure; a second position measurement system to provide a second measurement signal corresponding to a position of the stage relative to the magnet structure; and a data processor to correct the first measurement signal with a value dependent on the second measurement signal to provide a corrected first measurement signal representative of the position of the stage and/or the object relative to the reference structure in the measurement direction.

Abstract: A calibration method to calibrate a substrate table position in a lithographic apparatus, the method including repeatedly irradiating a pattern onto a surface of the substrate so as to create a two dimensional arrangement of patterns on the surface of the substrate, the irradiating including displacing the substrate table between successive irradiations to irradiate the pattern onto different locations on the surface of the substrate, reading out the patterns in the two dimensions to obtain pattern read out results, deriving incremental position deviations from the read out results of neighboring patterns in dependency on the position of the substrate table in the two dimensions, deriving from the incremental position deviations a position error of the substrate table as a function of the two dimensional position of the substrate table and calibrating the position of the substrate table using the position dependent position error.

Abstract: Scheduling of tasks in a lithographic apparatus, track unit or lithocell is performed by maintaining a register of the state of the machine and a database of tasks performable by the machine, generating possible sequences of tasks based on pre- and post-conditions on the system state (rather than a precedence relation) and selecting a sequence from the generated sequences that meets a given beginning state of the machine and a desired end state. Embodiments of the invention also allow for automated recovery from exceptions.

Abstract: A device manufacturing method includes projecting a patterned beam of radiation onto a substrate, wherein the position of a movable object is determined in a number of degrees of freedom using a number of sensors, the number of sensors being larger than the number of degrees of freedom, wherein the position of the movable object in the number of degrees of freedom is determined using signals of each of the sensors, wherein the signals of the sensors are weighed on the basis of the difference between noise levels of each of the sensors. Accuracy of the position measurement of movable object and/or overlay and focus performance are improved in lithographic apparatus.

Abstract: A position measurement system to measure a position of a movable stage includes a reference plate; a plurality of sensors arranged such that, depending on a position of the movable stage relative to the reference plate, at least a subset of the plurality of sensors is configured to cooperate with the reference plate to provide for each of the sensors in the subset respective sensor signals representative of a position of the respective sensor relative to the reference plate; and a processor arranged to determine from the sensor signals a stage position, the processing device configured so as to, when the stage is in a position where an over-determined number of sensor signals is provided by at least the subset of the sensors that are in operational cooperation with the reference plate, (a) determine the stage position from a subset of the over-determined number of sensor signals, and (b) correct a sensor signal of one or more of the sensors from a discrepancy between the determined stage position and a remain