I am currently using the TPS562200 on 2 custom boards with the exact same circuit (shown below) to generate 3.3V. I also am using a BQ24650VAR IC to charge a lead-acid battery. The reason I mention that is because the TPS562200 has different outputs based whether or not the battery is plugged in. If the battery is not plugged in, the voltage output of the TPS562200 fluctuates between 3.3V and 3.9V. If the battery IS plugged in, the voltage output stays at 3.9V. When the voltage is fluctuating, the oscope capture for each side of L3 is shown in the attached picture. While the SW output is pulsing (blue), the output is 3.3V (green). Once the pulses stop, the voltage rises to 3.9V. I'm not sure what is going on--I'd appreciate any help you can give.