State Feedback Repetitive Control For Single-Phase Inverters

In order to improve stability of output voltage of single-phase inverter, state feedback control strategy combined with repetitive control is proposed. Firstly, state space model of the inverter is established. Secondly, state feedback controller is designed and the feedback coefficients are obtained by poles assignment according to the established model. Finally, repetitive control based on internal model principle is plugged in the state feedback controller to eliminate the steady state error. To enlarge the stability margin, the phase lead compensation method is employed to compensate the phase-lag caused by sampling and calculation. Simulation and experimental results demonstrated that the proposed control strategy can achieve faster transient response and zero steady-state tracking error.