Hardware Implementation Of Levy Identification Algorithm For System Transfer Function

The transfer function is a kind of mathematical model and has a guiding role for the design of various equipment system controllers.At present,with the rapid development of modrn electronic information ’technology,the servo control technology has entered the all-digital era.Whether it is industrial equipment or a variety of practical machines that appear in our lives,higher requirements are put forward to the technology of system’s automatic control,in order to achieve higher control performance and better intelligence.The prerequisite for obtaining the system transfer function is to identify the system transfer function.So,the identification of the transfer function is the process of using a series of mathematical methods to determine the parameters of the system transfer function model through the actual measured sample data.The Levy identification algorithm is an analytical algorithm that directly fits the system transfer function parameters based on frequency characteristic data sequences,which is proposed by Eykhoff to identify the transfer function of high-order systems for frequency response.The principle of the Levy algorithm is to determine the transfer parameters of the system model by comparing the error criterion function between the miniaturization model and the test data.This paper introduces the relevant background knowledge of servo control technology.Combining with the principle of Levy identification algorithm and mathematical model derivation,the hardware design and implementation of the Levy transfer function identification algorithm are described in detail.Through the design of eight modules,which are matrix element generation,matrix expansion,matrix LU decomposition,LU matrix storage,triangular matrix inversion,matrix transposing,matrix multiplication and matrix vector multiplication,the identification of transfer function is completed.Finally,the coefficient vectors of the system transfer function are obtained.The proposed design has been implemented on a Xilinx device xc7vx485tffg1157-1 and fully tested by method of co-simulation using Matlab and Vivado simulation software.According to the measured results,this design can get the correct calculation results,and the error of the phase frequency response and the amplitude frequency response of the Levy algorithm simulation identification result and the original system function converges sharply when the frequency is higher than 100Hz.The synthesis results show that the maximum clock frequency can achieve 275MHz,so the design can meet the signal processing requirement of real-time.