In the context of active optical systems employing piezoelectric actuators as actuation mechanisms, effectively modeling and correcting the inherent hysteresis nonlinearity in piezoelectric actuators is essential for enhancing system performance. The paper presents an efficient identification and modeling approach for the nonlinear hysteresis dynamics of piezoelectric actuators with deformable mirror loads. The proposed method was successfully applied in the identification and modeling of hysteresis for piezoelectric actuators with mirror loads, reducing the runtime of the identification algorithm by over 90% with a relative error less than 1.886 7%. Furthermore, this approach overcomes the challenge of low signal-to-noise ratio resulting from the structure. Experimental results demonstrate that the piezoelectric hysteresis model obtained through this methodology can effectively compensate for and correct errors induced by the dynamic hysteresis nonlinearity of piezoelectric actuators. By utilizing a feedforward controller, the mirror surface positioning errors caused by piezoelectric hysteresis are reduced by 56.21%, significantly enhancing overall system performance.