Self-adaptive lattice filter based on Backlash operator and modeling method thereof

A lattice filter and filter technology, applied in the field of hysteresis nonlinear system modeling, can solve the problems of insufficient accuracy and difficult realization of modeling methods, and achieve the effect of improving modeling accuracy

Inactive Publication Date: 2014-07-30
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0011] The purpose of the present invention is to overcome the shortcomings of the existing adaptive filter to the modeling method of the hysteresis nonlinear system, such as difficulty

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  • Self-adaptive lattice filter based on Backlash operator and modeling method thereof
  • Self-adaptive lattice filter based on Backlash operator and modeling method thereof
  • Self-adaptive lattice filter based on Backlash operator and modeling method thereof

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Embodiment Construction

[0045] In order to better illustrate the purpose and advantages of the present invention, it will be further described below in conjunction with the accompanying drawings and examples.

[0046] In this embodiment, experiments are carried out on the experimental platform of the piezoelectric ceramic actuator nano-positioning system to verify that the modeling effect of the adaptive lattice filter based on the Backlash operator proposed by the present invention is better than that of the prior art. The model of this experimental platform is PST150 / 7 / 40VS12, the withstand voltage range is -30~150V, and the output displacement range is 0-12um. The driving power is HPV series piezoelectric ceramic driving power. The controller uses TI's TMS320LF2407 as the control device. The digital-to-analog and analog-to-digital conversions are 16-bit AD669 and AD976 respectively. The controller transmits the collected data to the host computer through the serial port.

[0047] Under above-ment...

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Abstract

The invention relates to a self-adaptive lattice filter based on a Backlash operator and a modeling method of the self-adaptive lattice filter, and belongs to the technical field of hysteresis nonlinear system modeling. Based on the self-adaptive lattice filter, a delayed operator in the self-adaptive lattice filter is replaced by the Backlash operator, and then a new self-adaptive filter is formed; according to an improved LMS algorithm for convergence factors, the weight of the filter is adjusted, and the design method is simple and feasible. According to the filter, delay items are prevented from being used, the filter is only related to current input, nonlinearity of hysteresis can be reflected, and modeling accuracy can be remarkably improved due to the fact that the filter is used for hysteresis nonlinear system modeling.

Description

technical field [0001] The invention relates to an adaptive lattice filter based on a Backlash operator and a modeling method thereof, belonging to the technical field of hysteretic nonlinear system modeling. Background technique [0002] Piezoelectric actuators (PEA) have been widely used in micro-displacement technologies, such as high-precision fabrication plants, nanometering, atomic force microscopy, scanning tunneling microscopy, X-ray imaging, etc. Their wide application in this specific field stems from their nanoscale displacement resolution, low power consumption and fast frequency response. However, the piezoelectric ceramic actuator exhibits hysteresis nonlinearity, which will seriously affect the displacement accuracy or cause oscillation, and even cause instability. In order to achieve higher displacement accuracy, many scholars have proposed many PEA modeling methods, such as Preisach model, Prandtl-Ishlinskii model, Bouc-Wen model, Dehum model and so on. ...

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Application Information

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IPC IPC(8): H03H21/00
Inventor 董宁单凤敏刘向东高聪哲李洪娟
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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