Performance Improvement of Model Predictive Control for Three phase Inverter Based on the Lyapunov Function

This paper proposes a model predictive voltage control (MPVC) for a two-level three-phase inverter with output LCL filter connected to the grid based on Discrete Lyapunov Function by using Forward Euler approximation. The proposed control method, based on finite control set model predictive control (FCS-MPC), minimized a cost function under the Lyapunov stability theorem with a control error compensation. Hence, to achieve much better steady state performance, the proposed control strategy based on the discrete direct Lyapunov method is leaded to a globally asymptotically stable system to show improved steady-state performance and a fast dynamic response.

Keywords:

Cost function , Voltage vector selection , Three-phase Grid-Tied Inverter , Discrete Lyapunov function , Model predictive control , Lyapunov stability theorem