A multi-stage system includes a stator including a plurality of electric coils; a first stage including a first magnet assembly, the first stage moveable relative to the stator; a second stage including a second magnet assembly, the second stage moveable relative to the stator; a controller configured to position the first and the second stage relative to the stator by activating, respectively, a first subset of the plurality of electric coils to interact with the first magnet assembly and a second subset of the plurality of electric coils to interact with the second magnet assembly, the controller adapted to prevent at least one electric coil, to be simultaneously shared by the first and the second subset to position the first and the second stage on the stator, from activating.

A stage assembly for positioning a device along a first axis, the stage assembly comprising: a base; a stage that retains the device and moves above the base; a mover assembly that moves the stage along the first axis relative to the base; a first sensor system that monitors the movement of the stage along the first axis, the first sensor system generating a first signal, the first sensor system having a first sensor accuracy; a second sensor system that monitors the movement of the stage along the first axis, the second sensor system having a second sensor accuracy that is different from the first sensor accuracy of the first sensor system, the second sensor generating a second signal; and a control system that controls the mover assembly using at least one of the first sensor and the second signal.

An immersion lithography apparatus has a controller configured to control a substrate table to move along an exposure route including in order: an entry motion in which the substrate moves from an off-substrate position at which the immersion space does not overlap the substrate to an on-substrate position at which the immersion space at least partially overlaps the substrate, a transfer motion in which the substrate table changes speed and/or direction and moves for at least a transfer time after the substrate moves to the on-substrate position, and an expose motion in which the substrate is scanned and the patterned beam is projected onto the substrate, wherein throughout the transfer motion at least a part of the immersion space overlaps the substrate and wherein the patterned beam is not projected onto the substrate during the entry motion and the transfer motion.

A synthetic controlled variable is obtained by obtaining a synthetic quantity using measurement results of a first and a second measuring instruments and corresponding gains (or transfer function) and synthesizing the synthetic quantity and one of the measurement results of the first and the second measuring instruments, respectively, via a high pass filter and a low pass filter. A feedback control system is structured that obtains a control input using a synthetic controlled variable and a desired value, and gives a plant the control input. This makes adding of a high pass filter for removing offset of installation position of the first and the second measuring instruments no longer necessary, and allows a driving system which controls robust driving in a high bandwidth of a plate stage regardless of bandwidth in which resonance appears to be designed.

An exposure apparatus is equipped with a first and second stage that are movable independently from each other within a predetermined plane and each have a table with a grating positioned under a surface where a wafer is mounted, and a third stage that is movable independently from the first and second stages within a predetermined plane and includes a light-receiving plane that receives an energy beam via an optical system. An optical member is provided that is at least a part of a measurement device, which performs a measurement related to exposure based on a light-receiving result of the energy beam received via the light-receiving plane. In an exposure station and measurement station, a first and second measurement system are respectively provided that measure the position of the tables by irradiating the grating of the first or second stage from below with a measurement beam.

The present invention provides an exposure apparatus which transfers a pattern of a reticle onto a substrate, the apparatus including a convey unit configured to convey the substrate while chucking and holding a lower surface of the substrate, and a control unit configured to control a conveyance condition of the convey unit so that a conveyance acceleration is lower when the convey unit conveys the substrate in a vertical direction with downward acceleration than when the convey unit conveys the substrate in the vertical direction with upward acceleration.

A substrate stage is used in a lithographic apparatus. The substrate stage includes a substrate table constructed to hold a substrate and a positioning device for in use positioning the substrate table relative to a projection system of the lithographic apparatus. The positioning device includes a first positioning member mounted to the substrate table and a second positioning member co-operating with the first positioning member to position the substrate table. The second positioning member is mounted to a support structure. The substrate stage further comprises an actuator that is arranged to exert a vertical force on a bottom surface of the substrate table at a substantially fixed horizontal position relative to the support structure.

A positioning apparatus includes a first object and a second object; a positioning system configured to position the first and the second objects with respect to each other; and a flexible transportation line that is connected to the first and the second objects, the flexible transportation line having a stiffness that varies along the flexible transportation line such that the flexible transportation line can be represented by a dynamic transfer function, the dynamic transfer function being adapted to a closed-loop transfer function of the positioning system.

A lithographic apparatus including: a projection system to project radiation onto a substrate supported on a substrate stage, during an exposure phase; a sensing system to sense a property of the substrate on the stage during a sensing phase; and a positioning system to determine a position of the stage relative to a reference system via a radiation path between the stage and the reference system, wherein the apparatus is configured to control stage movement relative to the reference system in the sensing phase and to control other movement relative to the reference system during the exposure phase; the stage or reference system having an outlet to provide a gas curtain to reduce ingress of ambient gas into the path; and the apparatus is operative such that a characteristic of the gas curtain is different in at least part of the sensing phase compared to in the exposure phase.

The present invention provides a computer-readable storage medium which stores a program for causing a computer to generate time-series data of an electric current to be supplied to a motor in order to cause, a control system, including the motor configured to drive an object, to transit from a first state to a second state, the program causing the computer to generate the time-series data so as to satisfy a constraint including a condition to constrain an upper limit value of dispersion of a plurality of state quantities respectively obtained from a plurality of models each of which estimates, from the time-series data, a state quantity of a specific mode of a vibration mode and motion mode of the object, and so that a value of an evaluation function for evaluating the time-series data falls within a tolerance.