Our paper aims to analysis the fast finite-time intelligent control scheme for synchronous generator systems which have uncertainties and time delays. By utilizing the fast finite-time practical stabile theory and the intelligent backstepping technique, a intelligent excitation controller is constructed. The unavoidable nonlinearities in studied systems are approximated using the universal approximation performance of fuzzy logic systems, thereby improving the intelligence of the design. Through closed-loop stability analysis and selecting appropriate Lyapunov-Krasoviski functionals, it has been proven that all signals have good convergence in the finite-time domain. In the end, simulation research is carried out to validate the availability of our control strategy.