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LM5118-Q1: Real-Time Output Control

Part Number: LM5118-Q1
Other Parts Discussed in Thread: LM5177

Real-time output control

I'm trying to design a Non-Inverting Buck-Boost (NIBB) power stage using TI controller LM5118-Q1.
The issue I deal with is the requirement for controlling many output voltage values. My NIBB's output stage is connected to another power stage which should get different input voltages on real-time (during operation).

Since I did not find a controller with an option of controlling the output voltage on real-time, I'm trying to design it by myself.

Please see attached drawing for what I think to do. I hope the schematic is clear enough.

Do you think that this solution can work?

What is the problem I can face?

How will is it effect the bandwidth of the control loop?