Systems and methods for controlling a closed-loop accelerometer system. A system includes an accelerometer with a driver that responds in a nonlinear manner and a rebalancing controller in signal communication with the driver. The rebalancing controller includes a proportional-integral-derivative (PID) control portion having at least one variable gain component. A method includes sensing a movement of a proof mass, determining a static g field based on the sensed movement, setting at least one variable gain component of a PID controller based on the determined static g field, and rebalancing the proof mass using the PID controller.
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