Abstract:
A method of controlling vibration of a structural element of an exposure apparatus includes receiving data of a position of the structural element, determining a position error signal based at least in part on the position data and a specified position of the structural element, determining a force command to damp a specified vibration mode frequency of the structural element based at least in part on the position error signal and the specified vibration mode frequency, and transmitting the force command to an actuator such that the actuator applies force to the structural element and damps vibration of the structural element at least at the specified vibration mode frequency of the structural element.
Abstract:
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.
Abstract:
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.
Abstract:
A synthetic controlled variable (Xmix=F1(Xc)+F2(X2, X1)) is obtained by obtaining a synthetic quantity (Xc=αX2+βX2) using measurement results (X2, X1) of a first and a second measuring instruments and corresponding gains (or transfer function) (α, β) and synthesizing the synthetic quantity (Xc) and one of the measurement results (X2, X1) of the first and the second measuring instruments, respectively, via a high pass filter (F1) and a low pass filter (F2). A feedback control system is structured that obtains a control input (U) using a synthetic controlled variable (Xmix) and a desired value (R) and gives a plant the control input (U). 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 (PST) regardless of bandwidth in which resonance appears to be designed.