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In this paper, the modeling and study of a new hybrid current controller is presented. It ensures high dynamic response with a fixed-frequency operation mode, a zero static error, and high robustness properties in regard to system parameters variations. To model the proposed nonlinear current controller, different tools are developed. In a first step, a high-frequency average model is proposed. It allows studying the average dynamic properties (bandwidth, time response, and overflow). To investigate the behavior of the current ripple due to the switching effect, a second model, based on the construction of a 3D bifurcation diagram and the definition of a form function, is established. This model allows studying the nature of the cycle described by the state trajectory and proving that the system operates with a fixed switching frequency. Design rules of the control parameters of this controller are explained and its robustness properties are tested by numerical simulations and validated by experimental tests.