design of compensator type 2 for current mode control of boost converter?
Modelling current mode SMPS is in fact a fair bit harder than voltage mode, whatever the "everyone knows" knowledge says. It's often easier to USE and you have "known good" formulas but these tend to throw away the current amplifier part, or "simplifies" it away.. 

If you have two feedback loops in parallel, eliminating one and saying it doesn't matter is largely a hand-waving excercise. You can often get good enough approximation of the result and the manufactures often do not provide the necessary information to model the current mode loop. So it's not totally unreasonable to drop the current loop response because you don't have a reasonable way of modelling it anyway.  

What I'd recommend is going over to Texas Instruments web page and trying their webench tool suite to design a similar power supply. If you use same/similar the same inductor/capacitor/transistor and a current mode controller, the feedback loop should be pretty close to what you do need. You probably need to change the voltage divider to provide the correct feedback value which does affect the loop somewhat but the webench lets you play with the feedback values on component level.



If you're interested in the complexities of properly modelling current mode SMPS controller, check "UNDERSTANDING AND APPLYING CURRENT-MODE CONTROL THEORY" by Robert Sheehan plus his other white papers. Other methods are presented in some textbooks such as "Switching Power Supply Design &amp; Optimization" by Sanjay Maniktala. These all rely on the manufacturer actually disclosing waveform details and specs of the controller current mode amplifier which is often not given.