In this paper, the modeling and study of
a new non-linear hybrid current controller is presented. It ensures high
dynamic response of the current loop with a fixed switching frequency
operation mode, a zero static error and high robustness properties as regard
to system parameters variations. To model the proposed non-linear current
controller, different tools are developed. In a first step a high frequency
average model is proposed. It allows studying the average dynamic properties
such as 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 three-dimensional 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 experimental tests.