  This paper introduces a novel approach in designing prediction horizons on a
generalized predictive control for a DC/DC boost converter. This method
involves constructing a closed-loop system model and assessing the impact of
different prediction horizons on system stability. In contrast to conventional
design approaches that often rely on empirical prediction horizon selection or
incorporate non-linear observers, the proposed method establishes a rigorous
boundary for the prediction horizon to ensure system stability. This approach
facilitates the selection of an appropriate prediction horizon while avoiding
excessively short horizons that can lead to instability and preventing the
adoption of unnecessarily long horizons that would burden the controller with
high computational demands. Finally, the accuracy of the design method has been
confirmed through experimental testing. Moreover, it has been demonstrated that
the prediction horizon determined by this method reduces the computational
burden by 10\%-20\% compared to the empirically selected prediction horizon.
