System Identification and Mathematical Modeling of A Piezoelectric Actuator through A Practical Three-Stage Mechanism

Area of Science:

• Engineering
• Materials Science
• Control Systems

Background:

• Piezoelectric elements (PEMs) are crucial components in various applications, necessitating accurate modeling and control.
• Understanding the complex behavior, including hysteresis, of piezoelectric materials is vital for effective actuator design.
• Existing system identification methods may not fully capture the dynamics of complex piezoelectric actuator systems.

Purpose of the Study:

• To develop a comprehensive analytical model for a piezoelectric actuator system.
• To introduce a novel and simplified system identification (SI) method for piezoelectric actuators.
• To validate the developed model and SI method through experimental comparison.

Main Methods:

• Derivation of a full analytical model by analyzing individual system units and their coupling.
• Extensive description and incorporation of the hysteresis phenomenon characteristic of piezoelectric materials.
• Implementation and verification of a new, simple system identification algorithm using a system-level approach.

Main Results:

• The theoretical model was successfully verified against experimental data from a laboratory setup.
• The proposed simple system identification algorithm demonstrated effectiveness when applied to the piezoelectric actuator model.
• The study provides a robust foundation for further research in piezoelectric actuator modeling and control.

Conclusions:

• The developed analytical model and system identification method offer a practical approach for understanding piezoelectric actuators.
• The simplicity of the model and method allows for easy adaptation to other PEMs or amplification mechanisms.
• This work highlights the novelty of applying a simple SI algorithm with a system-level perspective to piezoelectric actuators.