How the control loop .... dominates the tank circuit...
why should the output tank circuit dominate the control loop ...
May be other will understand what 'dominate' means here, but I don't.
Do you think of for example that feedback loop can't protect output from getting higher voltage than it is set to when load is switched off. Energy stored in L have to go somewhere so LC decides what is going on and not feedback loop in such cases - someone can name it as dominating.
Or do you think about which pole is at lower frequency?
But if you were thinking of poles in feedback loop characteristics than you would start from specifying switching power supply operation mode (voltage mode, current mode, ...) you have in mind, but you didn't.
I am using only one DCDC IC working in COT mode. I like COTs fast reaction to supply voltage changes and load changes practically in one pulse (current mode needs 5..10 pulses to notice that something has changed and need be corrected).