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Improved Gauss pseudo-spectral method-based piezoelectric ceramic driver optimum displacement control method

A technology of Gaussian pseudospectral method and piezoelectric ceramics, applied in the field of optimal displacement control of piezoelectric ceramic actuators based on improved Gaussian pseudospectral method

Inactive Publication Date: 2019-05-10
GUANGDONG UNIV OF TECH
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AI Technical Summary

Problems solved by technology

However, for the electromechanical coupling nonlinear dynamic system model of the piezoelectric ceramic actuator, there is no efficient and stable optimal control method to solve its control

Method used

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  • Improved Gauss pseudo-spectral method-based piezoelectric ceramic driver optimum displacement control method
  • Improved Gauss pseudo-spectral method-based piezoelectric ceramic driver optimum displacement control method
  • Improved Gauss pseudo-spectral method-based piezoelectric ceramic driver optimum displacement control method

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Embodiment Construction

[0076] The present invention will be further described below in conjunction with specific embodiment:

[0077] Such as figure 1 As shown, a method for optimal displacement control of a piezoelectric ceramic driver based on the improved Gaussian pseudospectral method described in this embodiment includes the following steps:

[0078] S1: Use the electromechanical coupling nonlinear dynamical system model to mathematically model the piezoelectric ceramic driver, and obtain the model of the piezoelectric ceramic driver, as follows:

[0079] The performance index function is:

[0080]

[0081] The constraints are:

[0082]

[0083] in,

[0084]

[0085]

[0086]

[0087] Q and R represent the weight matrix, is the derivative of X, X is the state variable, x is the actual output displacement, for speed, is the acceleration, u is the control variable, x des is the expected displacement, b is the damping coefficient, k is the spring stiffness, m is the equiva...

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Abstract

The invention discloses an improved Gauss pseudo-spectral method-based piezoelectric ceramic driver optimum displacement control method. Aiming at influences, on a system of a piezoelectric ceramic driver, of hysteresis linearity of a piezoelectric ceramic driver, control solution is carried out by using an improved Gauss pseudo-spectral method under an electromechanical coupling nonlinear power system model of the piezoelectric ceramic driver, so that a numerical solution of a state variable is obtained; and a Gauss node is changed through judging whether an absolute value of a difference between the numerical value of the state variable and an expected displacement satisfies a practical industrial allowable error or not by combining a requirement of the practical industrial allowable error, so that an optimum displacement with higher precision is obtained. According to the method, the influences, on systems of piezoelectric ceramic drivers are decreased, high-precision numerical solutions are obtained under electromechanical coupling nonlinear power system models of the piezoelectric ceramic drivers, and the positioning precision of the piezoelectric ceramic drivers is improved.

Description

technical field [0001] The invention relates to the technical field of piezoelectric ceramic driver control, in particular to a piezoelectric ceramic driver optimal displacement control method based on an improved Gaussian pseudo-spectrum method. Background technique [0002] With the in-depth development of high-tech fields, human beings have higher requirements for industrial levels, and the scientific research objects have developed from the macroscopic field to the microscopic field. In high-precision operations such as ultra-precision machining and precision measurement, precision at the micron or even nanometer level is required. Micro-nano technology occupies an increasingly important position in the field of construction machinery. [0003] Piezoelectric ceramic driver is a micro / nano-scale ultra-precision positioning device made of piezoelectric inverse piezoelectric effect. It has the advantages of high displacement resolution, fast response, no noise, small size, ...

Claims

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Application Information

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IPC IPC(8): G05B13/04
Inventor 麦恒陈学松
Owner GUANGDONG UNIV OF TECH
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