This paper presents the output state feedback approach, a unique adaptive control mechanism for power system dynamic stability. A new adaptive stabilizing method for synchronous power systems based on Minimal Control Synthesis (MCS) is proposed. Industrial applications can benefit from synchronous power systems. It boosts production and power efficiency. The MCS adaptive control structure uses hyper-stability theory. Power System Stabilizers (PSSs) have been used in industry for years to improve power system dynamic stability and dampening. most power systems are very dynamic and non-linear. Traditional PSS uses linearized power system model and fixed parameter linear control theory. Fixed parameter controllers can’t sustain power system dynamic stability. The MCS method’s key virtue is that it requires only a minimal framework and little computational resources. The controller manages plant nonlinearities, mild disturbances, and parameter changes using proportional and integral type adaptation to meet hyper-stability criteria. Stabilizing signals are created at the machine system’s excitation input for well-defined closed-loop performance. Synthesizing an output feedback control from observed feedback signals is desirable and technically achievable. The proposed control structure overcomes the difficulties of generating an online parameter estimator and choosing a reference model compared to MRAC or STAC. The investigated power system has an endless bus connected to a synchronous machine. Simulations verify the controller’s ability to moderate machine oscillations caused by minor power system disturbances. The results and MATLAB/Simulink operational simulation results end this research. The mode damping ratio is 0.0142, which is within the predicted range of 0.1 to 0.5.