LMI‐based robust controller design and implementation for Z‐source inverters

In this study, robust control of impedance source inverters in the presence of uncertainties such as parameters perturbation, unmodelled dynamics and load disturbances, is addressed. These uncertainties, which are naturally available in any power system, have a profound impact on the performance of power inverters and may lead to performance degradation or even instability of the system. A novel LMI-based design procedure is presented to guarantee the stability of the inverter subject to uncertainties in a Lyapunov-based framework while a certain level of disturbance rejection is satisfied. Simulation results demonstrate the superior performance of the presented method against comparative controllers. Finally, the proposed controller is applied to an experimental system and the results are compared with simulations, where both substantiate the potency of the proposed controller.