Input hysteresis nonlinear dynamical systems

As nanoscience and nanotechnology, the rapid development of micro-displacement piezoelectric actuator platform has become microscopic precision manufacturing equipment operation and processing to achieve a core component. However, piezoelectric actuators  Voltage stabilizer  hysteresis effect exists, it will cause the system accuracy tolerance, easy to produce oscillations, and even closed-loop system is unstable. In addition, micro-displacement piezoelectric actuator platform containing input Circuit breaker  dynamical systems, the existing mathematical model can not accurately describe the dynamics of this complex, resulting in precise  Electric transformer  model-based control and optimization strategies difficult to use. This controller is designed to compensate the hysteresis has brought great challenges. In this dissertation PZT micro-displacement platform object-depth study of nonlinear hysteresis compensation control theory and methods, aimed at eliminating piezoelectric actuator hysteresis effect on the driving accuracy, driving the piezoelectric ceramic micro-displacement nanometer precision motion control platform, expanding piezoelectric actuators in precision manufacturing equipment application.