A control apparatus for controlling a controlled object includes a measuring device configured to measure a state of the controlled object, and a controller configured to generate a manipulated variable corresponding to an output of the measuring device and a target value. The controller includes a compensator configured to output an index corresponding to the output of the measuring device and the target value, and a converter configured to convert the index into the manipulated variable such that a probability at which a predetermined manipulated variable is generated is a target probability.

A method of manufacturing a semiconductor device by using an exposure apparatus having a reticle stage and a projection optical system includes a first period in which substrates are exposed by using a first reticle arranged on the reticle stage, a second period in which substrates are exposed by using a second reticle arranged on the reticle stage, and a third period which is between the first and second periods. The method includes changing, in at least part of the third period, the first reticle arranged on the reticle stage to the second reticle, and performing control, in the first and second periods, to adjust temperature distribution of an optical element of the projection optical system so as to reduce change in aberration of the projection optical system. The third period is shorter than the first period.

A nanoscale positioning apparatus with a large stroke and multiple degrees of freedom and a control method thereof are provided. The nanoscale positioning apparatus includes a base, a plurality of parallel branch chain mechanisms and a working table. Each of the parallel branch chain mechanisms includes an electric cylinder, a micro-motion drive mechanism, a laser interferometer, a grating measuring device, a self-locking upper hinge and a self-locking lower hinge. The top of the base is connected to one end of the electric cylinder through the self-locking lower hinge. The other end of the electric cylinder is connected to one end of the micro-motion drive mechanism. The other end of the micro-motion drive mechanism is connected to the bottom of the working table through the self-locking upper hinge. The positioning apparatus has multiple degrees of freedom, and realizes multi-degree-of-freedom arbitrary position adjustment of the working table through parallel branch chain mechanisms.

The invention provides a wavelength tracking system comprising a wavelength tracking unit and an interferometer system. The wavelength tracking unit has reflection surfaces at stabile positions providing a first reflection path with a first path length and a second reflection path with a second path length. The first path length is substantially larger than the second path length. The interferometer system comprises: a beam splitter to split a light beam in a first measurement beam and a second measurement beam; at least one optic element to guide the first measurement beam, at least partially, along the first reflection path and the second measurement beam, at least partially, along the second reflection path; a first light sensor arranged at an end of the first reflection path to receive the first measurement beam and to provide a first sensor signal on the basis of the first measurement beam; a second light sensor arranged at an end of the second reflection path to receive the second measurement beam and to provide a second sensor signal on the basis of the second measurement beam; and a processing unit to determine a wavelength or change in wavelength on the basis of the first sensor signal and the second sensor signal.

An arrangement of a microlithographic optical imaging device includes first and second supporting structures. The first supporting structure supports an optical element of the imaging device. The first supporting structure supports the second supporting structure via supporting spring devices of a vibration decoupling device. The supporting spring devices act kinematically parallel to one another between the first and second supporting structures. Each of the supporting spring devices defines a supporting force direction and a supporting length along the supporting force direction. The second supporting structure supports a measuring device which measures the position and/or orientation of the at least one optical element in relation to a reference in at least one degree of freedom up to all six degrees of freedom in space. A reduction device reduces a change in a static relative situation between the first and second supporting structures in at least one correction degree of freedom.

A feedback control device that takes information regarding a control deviation between a measured value and a desired value of a controlled object as input, and outputs a manipulated variable for the controlled object, includes: a first control unit that takes information regarding the control deviation as input, and outputs a manipulated variable for the controlled object; a second control unit that takes information regarding the control deviation as input, and that includes a learning control unit in which a parameter for outputting a manipulated variable for the controlled object is determined by machine learning; and an adder that adds a first manipulated variable output from the first control unit and a second manipulated variable output from the second control unit. A manipulated variable from the adder is output to the controlled object, and the second control unit includes a limiter that limits the second manipulated variable.

A method of unloading an object from a support table, the object clamped to the support table during an exposure process by: applying a first pressure to a central region of the support table under a central portion of the object; and applying a second pressure to a peripheral region of the support table under a peripheral portion of the object, wherein during clamping the first pressure and the second pressure are controlled such that liquid is retained between the object and a seal member that is positioned radially between the central region and the peripheral region at an upper surface of the support table and protrudes towards the object, the method including: increasing the first pressure towards ambient pressure; removing at least some of the liquid retained between the object and the seal member by decreasing the second pressure; and increasing the second pressure towards the ambient pressure.

The invention provides a wavelength tracking system comprising a wavelength tracking unit and an interferometer system. The wavelength tracking unit has reflection surfaces at stabile positions providing a first reflection path with a first path length and a second reflection path with a second path length. The first path length is substantially larger than the second path length. The interferometer system comprises: a beam splitter to split a light beam in a first measurement beam and a second measurement beam; at least one optic element to guide the first measurement beam, at least partially, along the first reflection path and the second measurement beam, at least partially, along the second reflection path; a first light sensor arranged at an end of the first reflection path to receive the first measurement beam and to provide a first sensor signal on the basis of the first measurement beam; a second light sensor arranged at an end of the second reflection path to receive the second measurement beam and to provide a second sensor signal on the basis of the second measurement beam; and a processing unit to determine a wavelength or change in wavelength on the basis of the first sensor signal and the second sensor signal.

A control apparatus for performing position control of a moving object is provided. The apparatus includes a feedforward controller configured to perform feedforward control by giving a feedforward manipulated variable to the moving object. In a case that a duration of the feedforward control exceeds a predetermined time, the feedforward controller continues the feedforward control using a feedforward manipulated variable obtained based on a feedforward manipulated variable used in a predetermined section including an end of the predetermined time.

Systems, apparatuses, and methods are provided for manufacturing a wafer clamp having hard burls. The method can include providing a first layer that includes a first surface. The method can further include forming a plurality of burls over the first surface of the first layer. The forming of the plurality of burls can include forming a subset of the plurality of burls to a hardness of greater than about 6.0 gigapascals (GPa).