dc/dc converter boost 5V to 48v with inrush limit to 0.5A

Currently we are using LM3488 for this design(based on the solution that webench provide), but when testing it we got an inrush current up to 9.2A.
I'm trying to change the design, but I had some problem of calculations and setting up the compensation. so could you please provide me the detailed equations of the calculations?

PS: when I simulating the design with webench, the startup current signal goes up to 14A and stays there, which doesn’t match up with the tested signal, could you please let me know what might be the reason that the signals doesn't match each other?

Wish to hear from you soon.

I see a potential issue with your requirments and the use of a boost converter. A boost is only suitable for a step up ratio of 8 to 10 times the input voltage and 10 times being on the edge. Seeing at your input can be as low as 4.5V this violates a good rule of thumb. if you look at the Don max of any is there is usually a limit for obvious reasons. typically when you violate this rule you violate the Don max of the IC, if anything, you have little room for Duty cylcle control. I would therefore strongly suggest using a flyback converter. You can look at the LM5000 as a potential IC for a flyback with an Iout of 100mA. Also another disadvatage with a boost is that there is no way of limiting the input current when Vout<Vin. You will need to use a flybackand look at a way to limit the input current if needed. Suggest an INA of some sort and to measure the current and turn off the IC once a input current greater than the specified amount is measured? Hope this helps?