MPC with analytical solution and integral error feedback for LTI MIMO systems and its application to current control of grid-connected power converters with LCL-filter

We consider model predictive control (MPC) of disturbed linear time-invariant (LTI) multiple-input multiple-output (MIMO) systems without constraints. For the considered system class, the MPC problem has an analytical solution which allows for prediction horizons with arbitrary length. In addition, we introduce integral error feedback which assures steady-state accuracy for (piece-wise) constant disturbances and reference signals. The proposed MPC scheme is applied to grid-side current control of grid-connected power converters with LCL-filter. Simulation results illustrate and compare the control performance of the proposed MPC scheme with and without integral error feedback under (symmetric) grid perturbations.