This paper presents a robust and intelligent tracking scheme for the control of voltage source inverters. The robust and intelligent tracking scheme integrates the advantages of fast terminal sliding mode control (FTSMC) and multivariable gray model (MGM). The FTSMC is different from the exponentially slow convergence of the typical sliding mode control, because it can bring the system state without singularities to zero more quickly for a finite period of time. In the event of overestimating or underestimating from the system uncertainty boundaries, chattering or steady-state errors remain in the FTSMC, causing significant maladjustments in the transient and steady-state response of the voltage source inverter (VSI). The MGM with a higher forecasting accuracy compared to the traditional gray prediction model is therefore exploited to reduce the chattering and the steady-state error. It is well established from the simulation results that the proposed scheme achieves exact sine tracking of the output voltage in a closed-loop VSI under the conditions of sudden load changing and LC parameter variations.