An automated manufacturing system for constructing an engineered textile from a workpiece composed of superposed wires (140, 142), the manufacturing system comprising: a movable end effector; a processing head mounted to the movable end effector; a position sensor configured to determine real-time positions of the processing head relative to a calibrated origin position and output sensor signals indicative thereof; and a system controller operatively connected to the movable end effector, the position sensor, and the processing head, the system controller being programmed to: determine a plurality of predefined joint locations for the superposed wires (140, 142); command the movable end effector to sequentially move the processing head to align the processing head with each of the predefined joint locations; receive, from the position sensor, the sensor signals indicative of the real-time positions of the processing head; determine, from the received sensor signals and a captured image of the workpiece, an estimated distance between each of the real-time positions of the processing head and a next adjacent one of the predefined joint locations; estimate a plurality of desired trajectories for the processing head each based on the estimated distance between the real-time position of the processing head and the respective next adjacent one of the predefined joint locations; and command the processing head to join the superposed wires (140, 142) at the predefined joint locations to form the engineered textile. a movable end effector; a processing head mounted to the movable end effector; a position sensor configured to determine real-time positions of the processing head relative to a calibrated origin position and output sensor signals indicative thereof; and a system controller operatively connected to the movable end effector, the position sensor, and the processing head, the system controller being programmed to: determine a plurality of predefined joint locations for the superposed wires (140, 142); command the movable end effector to sequentially move the processing head to align the processing head with each of the predefined joint locations; receive, from the position sensor, the sensor signals indicative of the real-time positions of the processing head; determine, from the received sensor signals and a captured image of the workpiece, an estimated distance between each of the real-time positions of the processing head and a next adjacent one of the predefined joint locations; estimate a plurality of desired trajectories for the processing head each based on the estimated distance between the real-time position of the processing head and the respective next adjacent one of the predefined joint locations; and command the processing head to join the superposed wires (140, 142) at the predefined joint locations to form the engineered textile. determine a plurality of predefined joint locations for the superposed wires (140, 142); command the movable end effector to sequentially move the processing head to align the processing head with each of the predefined joint locations; receive, from the position sensor, the sensor signals indicative of the real-time positions of the processing head; determine, from the received sensor signals and a captured image of the workpiece, an estimated distance between each of the real-time positions of the processing head and a next adjacent one of the predefined joint locations; estimate a plurality of desired trajectories for the processing head each based on the estimated distance between the real-time position of the processing head and the respective next adjacent one of the predefined joint locations; and command the processing head to join the superposed wires (140, 142) at the predefined joint locations to form the engineered textile.