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TPS5420: Constant current output via sense current feedback

Part Number: TPS5420
Other Parts Discussed in Thread: LM5117, TPS54240

Is it possible to get stable operation of the TPS5420 buck converter by measuring the output current via a sense resistor and MAX4372H current sense amplifier (for example), and feeding the output voltage to the VSENSE pin? What type of compensation network would be required to make this work? I've looked through the datasheet examples and the SLVA237C Application Report regarding stability with ceramic and aluminum output capacitors, but I am having some trouble translating this information for use with a current sense amplifier in the feedback loop.