From the Datasheet;
The ADN8831 is a monolithic TEC controller. It has two integrated, zero drift, rail-to-rail comparators, and a PWM driver. A unique PWM driver works with an analog driver to control external selected MOSFETs in an H-bridge. By sensing the thermal detector feedback from the TEC, the ADN8831 can drive a TEC to settle the programmable temperature of a laser diode or a passive component attached to the TEC module.
The ADN8831 supports NTC thermistors or positive temperature coefficient (PTC) RTDs. The target temperature is set as an analog voltage input either from a DAC or from an external resistor divider driven by a reference voltage source.
A proportional integral differential (PID) compensation network helps to quickly and accurately stabilize the ADN8831 thermal control loop. An adjustable PID compensation network example is described in the AN-695 Application Note, Using the ADN8831 TEC Controller Evaluation Board. A typical reference voltage of 2.5 V is available from the ADN8831 for thermistor temperature sensing or for TEC voltage/current measuring and limiting in both cooling and heating modes.
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Are you having better luck with the motor amp? are you able to control both voltage and current limits?