Hybrid Energy Storage System (HESS) is formed by combining the ESD and the benefits of various ESDs are utilized. In the microgrid, every storage device's highest operation is ensured by algorithms of efficient control, which is essential for sharing power among numerous ESDs and also ESD's power output is decided by Conventional Fuzzy Logic Controllers (FLCs) with the consideration of fuzzy controlled ESD's State of Charge (SoC) and entire demand of power. Futhermore, in photovoltaic (PV) generating system, efficiency of output and quality of electrical energy is improved by the method of Maximum Power Point Tracking (MPPT). Because of the PV system's characteristics of time-varying output and its non-linearity, accomplishing MPPT is extremely difficult. Modified Firefly Algorithm (MF) is assisted for the utilization of Hybrid Optimized Bidirectional based Controller (HOBC). This predictive structure's control parameters are optimized by using Adaptive Neuro Fuzzy Interference System (ANFIS). The rate of faster conversion is achieved by standard algorithm's position formula and it is modified by this proposed algorithm. Perturbation and Observation Algorithm (P&O) and Adaptive Fuzzy Logic Controller (AFLC) are the two state-of-art method compared with various parameters in this simulation. © 2022 Elsevier B.V., All rights reserved.