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This paper considers the application of FPGA-based IIR filtering to increasethe usable bandwidth of a piezoelectric transducer used in optical phaselocking. We experimentally perform system identification of the interferometersystem with the cross-correlation method integrated on the controller hardware.Our model is then used to implement an inverse filter designed to suppress thelow frequency resonant modes of the piezo-electric transducer. This filter isrealized as an 24th-order IIR filter on the FPGA, while the total input-outputdelay is kept at 350ns. The combination of the inverse filter and thepiezo-electric transducer works as a nearly-flat response position actuator,allowing us to use PI control in order to achieve stability of the closed-loopsystem with significant improvements over non filtered PI control. Finally,because this controller is completely digital, it is straight forward toreproduce. Our control scheme is suitable for many experiments which requirehighly accurate control of flexible structures.

Extending the PZT bandwidth of an optical interferometer by suppressing resonance using a high dimensional IIR filter implemented on an FPGA