Hamiltonian Energy-Based Sliding Mode Control Approach for a Multi-port Bidirectional EV Charger via Zero Dynamic

In this article a combinatorial nonlinear control system has been proposed for a multi-port bidirectional integrated on-board EV charger, as a variable structure system. This bidirectional EV charger has a bilinear dynamic model that is a specific classification of nonlinear dynamic, hence, these systems need a nonlinear control method for stabilizing in a wide range of state variables variations and external disturbances. At first, bilinear dynamic model of the mentioned converter is achieved by using Euler-Lagrange description, then sliding mode controller is used for one of the system state variables and after that an energy-based controller is implemented by zero dynamic of sliding mode controller for output voltage stabilization. The utilized energy-based controller is called Hamiltonian energy function which is operated on incremental energy of the converter state variables such that, all of the states tracking errors are approached to zero asymptotically. This proposed controller has been simulated via MATLAB\SIMULINK simulation software for this mentioned converter and it has been compared to a cascade linear controller.