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Backlash self-adaptive filter and method for modeling and compensating hysteresis thereof

A technology of adaptive filter and adaptive algorithm, applied in the direction of adaptive network, impedance network, electrical components, etc., can solve the problems of insufficient accuracy and realizability

Inactive Publication Date: 2011-02-16
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0006] The purpose of the present invention is to solve the technical problem of modeling and control of the piezoelectric nonlinear hysteresis system, aiming at the hysteresis modeling and compensation control method accuracy and the realizable Combining the characteristics of Backlash hysteresis modeling and the advantages of simple structure and strong adaptability of adaptive inverse control transversal filter, a Backlash adaptive filter and its modeling and compensation method for hysteresis are proposed

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  • Backlash self-adaptive filter and method for modeling and compensating hysteresis thereof
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  • Backlash self-adaptive filter and method for modeling and compensating hysteresis thereof

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[0041] In order to better illustrate the purpose and advantages of the present invention, further description will be given below in conjunction with the accompanying drawings and embodiments.

[0042] Backlash adaptive filter structure of the present invention is as figure 1 As shown, it includes an adder module, an error calculation module, multiple adaptive weighting modules, and multiple Backlash operator modules of the same width. Calculate the output of each serial Backlash operator link according to formula (2). The validity of formula (2) is proved by the following theorem.

[0043] Theorem: For such figure 2 The width of the concatenation shown is r 1 and r 2 The two Backlash operators of can be equivalent to a width r 1 + r 2 Backlash operator.

[0044] Proof: For width r 1 and r 2 The transfer characteristics of the two Backlash operators in discrete form are:

[0045] y 1 ( k ) ...

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Abstract

The invention relates to a Backlash self-adaptive filter and a method for modeling and compensating the hysteresis thereof, belonging to the technical field of modeling and control of hysteresis non-linear systems. The filter comprises a summator module, an error calculating module, a plurality of self-adaptive weighting modules and a plurality of Backlash operator modules with the same width. The whole designing scheme avoids using a hysteresis item and is only related with current inputs, meanwhile, the hysteresis non-linearity can be reflected, and the modeling effect is more precise; and the self-adaptive inverse control of the filter can effectively compensate the hysteresis non-linearity of a piezoelectric ceramic actuator. The self-adaptive filter and the modeling and self-adaptive inverse control method based on the filter can be applied to systems having the characteristics of hysteresis non-linearity, such as intelligent materials of magnetostrictive materials, excitation motors, piezoelectric chips, piezoelectric ceramics, and the like.

Description

technical field [0001] The invention relates to a Backlash adaptive filter and a modeling and compensation method for hysteresis, belonging to the technical field of hysteresis nonlinear system modeling and control. Background technique [0002] Hysteretic nonlinear phenomena exist in many real systems, such as magnetostrictive materials, excitation motors, piezoelectric wafers and piezoelectric ceramics and other systems. The existence of nonlinear characteristics reduces the repeatability of these systems, slows down the transient response speed, and deteriorates the controllability. Hysteresis has multi-mapping and memory properties, which makes it difficult for both classical control theory and modern control theory to effectively control it. Therefore, it is necessary to propose specific modeling and control methods to solve problems in this field. [0003] To compensate the hysteresis to realize the precise control of the hysteresis nonlinear system, it is first nece...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H21/00
Inventor 刘向东耿洁陈振赖志林魏宏刚
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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