2010 chevy impala service stabilitrakwarning keeps coming on

You should have it check for DTC'S diagnostic trouble codes .
SERVICE STABILITRAK is part of the ABS control module . EBCM - electronic brake control module . Could be a sensor problem , EBCM , yaw sensor an a couple other ones .
Vehicle Stability Enhancement System (VSES)
The vehicle stability enhancement system (VSES) adds an additional level of vehicle control to the electronic brake control module (EBCM).
Yaw rate is the rate of rotation about the vehicle's vertical axis. The lateral accelerometer measures the sideways acceleration of the vehicle. The VSES is activated when the EBCM determines that the desired yaw rate and lateral forces do not match the actual attitude of the vehicle.
The desired attitude of the vehicle are calculated from the following inputs:
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The position of the steering wheel

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The speed of the vehicle

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The lateral, or sideways acceleration of the vehicle

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Yaw rate of the vehicle

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Master cylinder brake pressure

The difference between the desired yaw rate and the actual yaw rate is the yaw rate error, which is a measurement of oversteer or understeer. If the yaw rate error becomes too large, the EBCM attempts to correct the vehicle's yaw motion by applying differential braking to the appropriate wheel. The amount of differential braking applied to the left or right front wheel is based on both the yaw rate error and side slip rate error.
The VSES activations generally occur during aggressive driving, in turns, or on poor road conditions, without much use of the accelerator pedal. When braking during VSES activation, the pedal pulsations feel different than the ABS pedal pulsations. The brake pedal pulsates at a higher frequency during VSES activation.