Iterative learning control method for a single-phase inverter with sinusoidal output voltage

This paper considers iterative learning control law design for bothtrial-to-trial error convergence and along the trial performance in the control system of the single-phase inverter (DC/AC). The inverter with passive LC filter act as a high quality AC power source with sinusoidal output voltage. Such solution is typically used for instance in Uninterruptible Power Supply (UPS) system. Standard feedback control cannot eliminate the periodic distortion caused by nonlinear loads. It is shown how a class of control laws can be designed using the theory of linear repetitive processes for this problem where the computations are in terms of Linear Matrix Inequalities (LMIs).The simulations have been performed with the use of Simulink accompanied by PLECS library, which allows to simulate power electronic converter facilities in their realistic working conditions.