This work introduces a novel Leaky Least Logarithmic Absolute Difference (LLLAD) based control algorithm and Learning based Incremental Conductance (LIC) MPPT (Maximum Power Point Tracking) algorithm, for grid-integrated solar PV (Photovoltaic) system. Here, a three-phase topology of grid-integrated PV system is implemented, with the nonlinear/linear loads. Proposed LIC technique is an improved form of an Incremental Conductance (InC) algorithm, where inherent problems of traditional InC technique like steady-state oscillations, slow dynamic responses and fixed step size issues, are successfully mitigated. The prime objective of proposed LLLAD control is to meet the active power requirement of the loads from generated solar PV power, and after satisfying the load demand, the excess power is supplied to the grid. However, when generated solar power is less than the load demand, then LLLAD meets the load by taking extra required power from the grid. During these power management processes, on the grid side, the power quality is maintained. During daytime, the proposed control technique provides load balancing, power factor correction, and harmonics filtering. Moreover, when solar irradiation is zero, then the DC link capacitor and VSC, act as DSTATCOM (Distribution Static Compensator), which enhances the utilization factor of the system. The proposed techniques are modeled, and their performances are verified experimentally on a developed prototype, in solar insolation variation conditions, unbalanced loading, as well as in different grid disturbances such as over and under-voltage, phase imbalance, harmonics distortion in the grid voltage etc. Test results have met the objectives of proposed work and parameters are under the permissible limit, according to the IEEE-519 standard.