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A Design Method of Robust Inverse Model Learning Gain Based on FIR Filter

A design method and inverse model technology, which is applied in the field of ultra-precision motion control, can solve the problems such as the difficulty of effectively designing the time-advanced link of the low-pass filter, and achieve the effect of overcoming blindness and simple implementation.

Active Publication Date: 2022-06-24
HARBIN INST OF TECH
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Problems solved by technology

[0003] The purpose of the present invention is to solve the problem that the common low-pass filter and the time-leading link of the existing method are difficult to effectively design, provide a robust inverse model learning gain design method based on FIR filtering, and further improve the feedforward compensation of the motion control system ability and improve the servo performance of the lithography machine motion table, which has important engineering application value

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  • A Design Method of Robust Inverse Model Learning Gain Based on FIR Filter

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Embodiment 1

[0053] using as figure 1 The shown two-degree-of-freedom control scheme performs trajectory tracking control on the linear motion system, wherein the feedforward control adopts the robust inverse model iterative learning control method, and the learning gain is designed by the method disclosed in the present invention.

[0054] The linear motion system can be simplified as a rigid body, so we have m is the motion quality of the linear motion system, and T=0.0002s is the sampling period of the control system.

[0055] Then a reasonable feedback controller C(z) can be designed. Under this feedback controller, the actual model of the closed-loop system G(z) and G 0 The amplitude-frequency characteristics of (z) are as follows figure 2 It can be seen that there is a large model error in the high frequency band between the two.

[0056] Select the passband cutoff frequency ω of the low-pass filter H(z) p =0.04π(rad / T), equivalent to 100Hz, slightly larger than figure 2 The ...

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Abstract

A robust inverse model learning gain design method based on FIR filtering belongs to the field of ultra-precision motion control. The goal of robust inverse model iterative learning control is to continuously improve the servo accuracy of the motion system through servo error learning, and its learning gain is determined by the inverse low-pass filter H(z) of the nominal model of the closed-loop system and the time advance link z τ Three parts are connected in series; the method adopts an FIR low-pass filter with a linear phase shift characteristic to replace the traditional low-pass filter in the prior art, and realizes zero-phase filtering by compensating the linear phase shift of the FIR low-pass filter. In the disclosed method of the present invention, the FIR low-pass filter can directly realize the specified stop-band initial frequency and stop-band attenuation through design, and the amount of time lead compensation can be directly obtained by calculation, and zero-phase filtering can be realized in a larger frequency range, overcoming It eliminates the blindness of parameter setting, and can effectively ensure that the expected compensation effect is achieved in practical applications.

Description

technical field [0001] The invention belongs to the field of ultra-precision motion control, and in particular relates to a robust inverse model learning gain design method based on FIR filtering. Background technique [0002] The ultra-precision motion system is the core component of the lithography machine, and its tracking performance of the highly dynamic reference motion trajectory directly determines the technical indicators of the whole machine. At present, the servo accuracy and adjustment time requirements of high-end lithography machines for their motion systems have reached the nanometer and millisecond levels, respectively, which puts forward extremely high requirements for the level of feedforward compensation. Iterative learning control is a kind of intelligent control technology, which shows strong feedforward compensation ability in motion control, which is very suitable for complex motion systems such as lithography workpiece table, which are difficult to ac...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
Inventor 李理赵洪阳刘杨
Owner HARBIN INST OF TECH
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