The application of the Prandtl-Ishlinskii model is for the modeling and identification of nonlinear hysteresis in piezoelectric actuators. Piezoelectric actuators are widely used in various engineering applications, and their performance is often affected by hysteresis, a nonlinear phenomenon that complicates accurate modeling and control. The Prandtl-Ishlinskii model is a versatile and widely adopted framework for describing hysteresis in various systems. This article focuses on its application to capture the intricate hysteresis behavior exhibited by piezoelectric actuators. The research involves the development of a mathematical model based on the Prandtl-Ishlinskii approach, aiming to accurately represent the nonlinearities associated with the actuator’s hysteresis in application to precision positioning systems, cell manipulation, microsurgery, biomedical imaging, drug delivery system, and haptic feedback systems. The methodologies are used to determine the parameters of the Prandtl-Ishlinskii model for a specific piezoelectric actuator. This identification process is crucial for obtaining an accurate representation of the actuator’s hysteresis behavior, enabling improved control strategies, and enhancing overall system performance. In summary, this article contributes to the field of piezoelectric actuator modeling by delving into the nonlinear hysteresis aspects using the Prandtl-Ishlinskii model. The findings and methodologies presented in the article have the potential to enhance the understanding and control of piezoelectric actuators in various engineering applications.