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212 Modern Control of DC-Based Power Systems

a performance index over a span of time while assuming that the model is
perfect. In this context the H N approach assumes that the model is
imperfect and it tries to optimize the stability and quality given uncer-
tainty in the plant model, actuators and feedback sensors.
The eight approach is the SMC which is theoretically robust because
of less dependence on the system parameters. However, the standard for-
mulation of SM control demonstrates some difficulties in the practical
applications primarily because of the chattering phenomena that can
degrade the quality of the control. In order to solve this problem, many
different adjustments to the first formulation of the SM control have been
derived which comprehend the use of a high-order SM control, methods
for controlling the duty cycle. These methods are model dependent
which reduces the high robustness of the SM control. Furthermore the
implementation of the SM control in an ISPS is only possible by the
usage of the virtual disturbance.

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