Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: 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.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: A controller is provided that controls an actuator system having a plurality of actuators arranged to act on an object. The controller uses a gain balancing matrix to convert a first control signal, representing a set of forces desired to be provided to the center of gravity of the object into a second control signal, representing an equivalent set of forces to be provided by the plurality of actuators. The system is further configured such that a first gain balancing matrix is used at a first frequency band and a second gain balancing matrix is used at a second frequency band.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: A controller is provided that controls an actuator system having a plurality of actuators arranged to act on an object. The controller uses a gain balancing matrix to convert a first control signal, representing a set of forces desired to be provided to the centre of gravity of the object into a second control signal, representing an equivalent set of forces to be provided by the plurality of actuators. The system is further configured such that a first gain balancing matrix is used at a first frequency band and a second gain balancing matrix is used at a second frequency band.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.

Abstract: A control system configured to control a position of a fluid supply system, the fluid supply system constructed and arranged to supply a fluid between a substrate and a projection system, the substrate positioned with a substrate stage, the control system including a controller configured to determine a desired position of the fluid supply system based on a position signal to be provided to the substrate stage and a position offset, the position offset added to the position signal to be provided to the substrate stage.

Abstract: 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.

Abstract: A control system to control a position parameter of a stage in a lithographic apparatus includes a stage controller to control a position parameter of the stage in at least a first direction. The control system includes a disturbance torque estimator to estimate a disturbance torque on the stage, the disturbance torque about an axis extending in a second direction, the second direction being substantially perpendicular to the first direction. The control system includes a correction signal calculator, the correction signal calculator provided with the estimated disturbance torque and a signal representative of a position of the stage in a third direction, the third direction being substantially perpendicular to the first and second directions. The correction signal calculator determines a feedforward correction signal to correct a position error of the stage in the first direction due to the disturbance torque, the feedforward correction signal to be fed to the stage.

Abstract: In a lithographic apparatus, a localized area of the substrate surface under a projection system is immersed in liquid. The height of a liquid supply system above the surface of the substrate can be varied using actuators. A control system uses feedforward or feedback control with input of the surface height of the substrate to maintain the liquid supply system at a predetermined height above the surface of the substrate.