Hi Florian,
Thank you for posting to the forum!
The peak current controller in the STM32 TSP can’t provide phase shifted PWM signals to the two legs of the full bridge. The only component in the STM32 TSP which can provide phase shifted PWM signals is the HRTIM block. However, as the STM32 TSP doesn’t provide an Analog Comparator block, I don’t see a way to build a peak current controller for a full bridge converter using discrete blocks.
The TI C2000 TSP provides a wider range of functionality than the STM32 TSP because we have been developing it for a longer time. Is there a chance that you could build your application using a TI microcontroller?