Power and frequency instability pose significant challenges in microgrid operation, which restricts load sharing and degrades dynamic performance. Existing control methods often involve trade-offs between stability and power sharing. Conventional power system stabilizers (PSS) utilize lead-lag compensators with parameters selected arbitrarily, resulting in less than optimal performance during disturbances. This research paper presents a novel, generalized PSS designed for inverter-based microgrids. It incorporates an adaptive Honey Bee Optimization (HBO) algorithm for dynamic tuning of the lead compensator parameters T1, T2, and gain K. Unlike traditional methods, the proposed HBO-PSS improves the damping of low-frequency oscillations and enhances power sharing accuracy, while maintaining stable output voltage. The time-domain simulation results indicate that the adaptive HBO-PSS demonstrates superior performance compares to existing methodologies. The proposed PSS facilitates faster and more equitable power sharing, while also enhancing stability significantly, even in the presence of switching disturbances and higher droop coefficients. This work simplifies the implementation and analysis of PSS while facilitating future research into decentralized control strategies for distributed energy systems.