Parameter Identification Based on PSO Algorithm for Piezoelectric Actuating System with Rate-dependent Prandtl-Ishlinskii Hysteresis Modeling Method

Piezoelectric materials as a class of smart materials are widely used in precision machining, flexible manipulator and positioning systems with good features, such as positioning with high precision and great driving power. Actuators based on piezoelectric materials are becoming more important in the area of micro-operation especially in the micro-nano positioning stage. However, in the practical applications, some nonlinear characteristics of piezoelectric actuators, especially hysteretic nonlinearities, influence the positioning precision. It is necessary to characterize the hysteresis nonlinearities to facilitate the controller design improving the driving precision. In this paper, based on the rate-dependent Prandtl-Ishlinskii (RDPI) model, a Particle Swarm Optimization (PSO) algorithm is proposed in the parameters identification procedure to optimize the hysteresis modeling precision. To show the effectiveness of the proposed identification method, the outputs of the identified model are compared with the actual measurement data from the piezoelectric actuating platform under the different input frequencies.