You need to analyse the inverter in two stages:
1) boost 12V DC to 340V DC
2) convert 340V DC to 240V AC 50Hz
The main feedback loop occurs in stage 1) and usually operates a high frequency PWM push-pull transformer, maybe 30-50kHz. The ADC will read the DC voltage and regulate the 340V DC output. This stage also contains current limiting.
A second, H-bridge PWM controller in stage 2) then converts the 340V DC to 240V 50Hz AC. This second H-bridge PWM also works at high frequency. There is no feedback in this stage, this stage is only for sinewave shape generation.