Open-loop fuzzy control method for piezoelectric ceramic driver hysteresis system

Abstract

The invention discloses an open-loop fuzzy control method for a piezoelectric ceramic driver hysteresis system and relates to the field of control in super-precision optical application. The open-loop fuzzy control method solves the problems that an open-loop controller of a hysteresis model structure of an existing PZT hysteresis system is poor in adaptability and can not effectively compensate for the influence of related hysteresis characteristics on system control accuracy. The method comprises the steps of acquiring input data and output data of the piezoelectric ceramic driver system, determining membership function distribution of input variables, identifying parameters of the conclusion part of a fuzzy hysteresis model through the recursive least-squares method to obtain a hysteresis inverse model capable of being analyzed and expressed eventually, establishing an open-loop fuzzy controller according to the hysteresis inverse model and compensating for the hysteresis characteristics of the piezoelectric ceramic driver system so as to achieve accurate control over the piezoelectric ceramic driver system. The fuzzy model adopted in the method is high in modeling accuracy, high in generalization ability and capable of being analyzed and expressed reversely; the inverse model is low in computation complexity, and the hysteresis compensation open-loop fuzzy controller established according to the inverse model is easy to realize and capable of being used conveniently in real time.

Description

technical field [0001] The invention relates to the field of control in ultra-precision optical applications, in particular to an open-loop fuzzy control method for a hysteresis system of a piezoelectric ceramic driver. Background technique [0002] Due to the advantages of high stiffness, high resolution, no friction and fast response, piezoelectric ceramic actuators (Piezoelectric Ceramic Actuator, PZT) are widely used in various ultra-precision platforms. In ultra-precision optical applications, phase shifters, deformable mirror adjustment mechanisms, and fast mirrors in Fizeau interferometers all need PZTs to drive. However, the inherent nonlinear characteristics of PZT, especially the multi-valued mapping and frequency dependence of hysteresis, will seriously affect the control accuracy of the system, and even lead to system instability. Therefore, some people at home and abroad have proposed related hysteresis modeling and control methods. [0003] In the closed-loop...

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Problems solved by technology

[0005] In order to solve the problems that the open-loop controller of the hysteresis model structure of the existing PZT hysteresis system has poor adaptability and cannot effectively compensate the influence of the rate-related hysteresis characteristics on the control accuracy of the system, the invention provides an open-loop controller for the hysteresis system of the piezoelectric ceramic driver. fuzzy control method

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