Abstract—To achieve the best optimized performance in terms
of stability and dynamic behavior of power electronics converters, it is necessary to use a more advanced control technique
and accurate mathematical model. This paper propose a fixed
frequency hysteretic current (FFHC) controller that uses both
sliding mode control (SMC) technique and fixed frequency
current controller with a hysteresis band to achieve all properties
of the variable structure controller. However, realizing such fixed
frequency sliding mode controller using small-signal averaged
(SSA) model of the power converters and Utkin’s equivalent
control technique may not be valid for all conditions. We show
that it can be applicable only when the fast scale dynamics of the
converter system is stable, which can be achieved successfully by
analyzing the stability of the FFHC controlled buck converter
using Filippov method and Floquet theory. The regions of
stability are then presented to show the domains of existence
of nominal period-1 and higher periodic orbits in 2-dimensional
(2-D) parameter space. We also demonstrate how to derive the
equivalent control law from modified tristate converter topology
to design the controller. Finally, the experimental results are
presented to validate the effectiveness of this hybrid FFHC
controller.
Index Terms—DC-DC buck converter, fixed frequency hysteretic current (FFHC) control , sliding motion (SM), sliding
mode control (SMC), multi-scale oscillation, discontinuous systems
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