Abstract: Aiming at the problem that the application of multi-step model predictive control（MPC）to inverter

control results in a doubling of the number of solutions to lead to computational difficulties，an MPC strategy based on the improved spherical decoding algorithm was introduced. In the control strategy，the optimization for the controller model was reconstructed by means of vector，and was expressed as an integer-quadratic programming；and then the quantity of the solutions would be further reduced by the improved spherical decoding algorithm in order to figure out the best switching sequence. The control strategy is of considerable referential importance in simplifying the calculation，reducing the current distortion，improving the inverter’s steady-state performance and increasing its working efficiency.

      Key words: model predictive control（MPC）；inverter；spherical decoding algorithm；multi step prediction