This article introduces a mathematical model for an isolated microgrid, which includes components of renewable energy sources. The primary focus is on load frequency analysis. To regulate the load frequency of the microgrid, a control system is proposed, consisting of a fuzzy logic controller with a Proportional-Integral- derivative (PID), referred to as FLPID. The controller parameters are fine-tuned using a novel hybrid optimization method called hPSOGWO with the use of the ITAE fitness function. The effectiveness of hPSOGWO is demonstrated through a comparison with other optimization techniques like PSO and GWO. The studied MG system will be exanimated under variable perturbation in load, in photovoltaic (PV) source and in under perturbation with uncertainties in system parameters in order to demonstrate the proposed method's robustness. Based on the frequency response from simulations, using MATLAB-Simulink tool, it is evident that the FLPID controller optimized with hPSOGWO is better than PSO and GWO techniques in terms of performance.