In this work the measurement quality of capacitive displacement sensors is augmented with the high dynamic sensitivity of piezoelectric transducers. By combining the low-frequency performance and stability of capacitive sensors with the high sensitivity and bandwidth of piezoelectric transducers, a displacement RMS noise of 1 nm and range of 100 mum is achieved with a bandwidth of 20 kHz. The composite displacement signal is employed with a receding horizon control strategy to achieve high-speed low-noise control of a piezoelectric tube scanner.