\(\mathcal{H}_{\infty}\) LPV control with pole placement constraints for synchronous buck converters with piecewise-constant loads (Q1666335)

Summary: This paper addresses the output regulation problem of synchronous buck converters with piecewise-constant load fluctuations via linear parameter varying (LPV) control scheme. To this end, an output-error state-space model is first derived in the form of LPV systems so that it can involve a mismatch error that temporally arises from the process of generating a feedforward control. Then, to attenuate the mismatch error in parallel with improving the transient behavior of the converter, this paper proposes an LMI-based stabilization condition capable of achieving both \(\mathcal{H}_{\infty}\) and pole-placement objectives. Finally, the simulation and experimental results are provided to show the validity of our approach.