$\mathbf{H}_{\infty}$ criterion based PI controller for DC-DC boost converter

In this manuscript, a Proportional-Integral controller is designed to regulate the output voltage of DC-DC boost converter. The parameter of PI controller is tuned based on
$\mathbf{H}_{\infty}$
optimization criterion. For tuning the PI controller graphically with an
$\mathbf{H}_{\infty}$
norm bound, transfer function of DC-DC boost converter is modelled. For performance consideration like robust stability and set point tracking, a step-wise procedure is discussed. The performance of proposed controller is validated with MATLAB Simulink and hardware implementation with DC-DC boost converter. The robustness of proposed controller is verified by step change in set point voltage, variation in load resistance and perturbation in duty cycle.