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I am trying to design dc-dc bidirectional converter to be used for battery charge and discharge, the problem is how to model the converter to find the transfer function in order to design controllers to control the converter via PWM,, the Simulink model is functioning but the control is poor, i know modelling the bi-directional dc-dc converter should be done using averaged state space approach and then the PWM is also to be modelled before I can design PD controllers to regulate and control the power for charge and discharge the battery It would be great help if you could guide me in how to model and design bi-directional dc-dc converter book-boost

Many thanks for the reply, I am doing my work in Simulink, the model is working , bidirectional as you said to push power in either way, the problem the controllers i designed are not doing good job due to dc-dc converter being no-linear and i have no transfer function that I can use to design a controller, it is buck boost to make power flow bidirectional, I think I should use state space averaged technique to model the converter before designing the controllers, i know it is a big work I appreciate all the information you give , hope I could find a Simulink model that is functioning well and has been tested before, all papers and work i found , they always make the model dummy, no data , just results without validating or giving much details Thank you so much for the reply

Many thanks for the reply and useful information you keep giving me, i really appreciate this