Abstract: A lithographic apparatus includes a driven object having compliant dynamics; a plurality of actuators configured to act on the driven object, wherein the plurality of actuators are over-determined in an actuator degree of freedom; a control system including a transformation matrix configured to generate controller output signals for each of the plurality of actuators in response to a setpoint, wherein the transformation matrix is configured such that the controller output signals do not excite the compliant dynamics of the driven object in at least one degree of freedom.

Abstract: A lithographic apparatus includes a driven object having compliant dynamics; a plurality of actuators configured to act on the driven object, wherein the plurality of actuators are over-determined in an actuator degree of freedom; a control system including a transformation matrix configured to generate controller output signals for each of the plurality of actuators in response to a setpoint, wherein the transformation matrix is configured such that the controller output signals do not excite the compliant dynamics of the driven object in at least one degree of freedom.

Abstract: A servo control system to control a position of an object supported by a movable support includes a first measurement system to measure a position of the movable support, a comparative device to provide an error signal based on the comparison between a measured movable support position and a desired movable support position, a controller unit to provide a control signal based on the error signal, and an actuator configured to actuate the movable support based on the control signal. The servo control system further includes a slip compensation device to compensate a slip between the object and the movable support, the slip compensation device including a second measurement system to measure an object position with respect to the movable support, and an addition device to add a slip compensation signal to the measured movable support position or the error signal based on the measured object position.

Abstract: A servo control system to control a position of an object supported by a movable support includes a first measurement system to measure a position of the movable support, a comparative device to provide an error signal based on the comparison between a measured movable support position and a desired movable support position, a controller unit to provide a control signal based on the error signal, and an actuator configured to actuate the movable support based on the control signal. The servo control system further includes a slip compensation device to compensate a slip between the object and the movable support, the slip compensation device including a second measurement system to measure an object position with respect to the movable support, and an addition device to add a slip compensation signal to the measured movable support position or the error signal based on the measured object position.