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低成本MEMS陀螺儀隨機(jī)漂移誤差的建模及修正

發(fā)布時(shí)間:2018-05-11 02:04

  本文選題:MEMS陀螺儀 + 隨機(jī)漂移誤差。 參考:《西南大學(xué)》2017年碩士論文


【摘要】:近年來,MEMS陀螺儀作為慣性導(dǎo)航技術(shù)中十分重要的部分,由于其具有成本低、尺寸小、重量輕、集成度高等一系列優(yōu)點(diǎn),在慣性導(dǎo)航、工業(yè)控制及電子產(chǎn)品等領(lǐng)域得到廣泛的應(yīng)用。盡管與傳統(tǒng)類型陀螺儀相比,MEMS陀螺儀具有諸多優(yōu)勢(shì),但由于制造工藝和設(shè)計(jì)水平等原因,其測(cè)量精度相對(duì)較低,往往無法滿足實(shí)際使用需求,極大的制約了MEMS陀螺儀的發(fā)展和應(yīng)用。尤其對(duì)于陀螺儀的隨機(jī)漂移誤差,由于其形成的機(jī)理非常復(fù)雜,沒有明確的規(guī)律且隨外界環(huán)境變化而變化,不能用常規(guī)的方法補(bǔ)償修正,并且無法完全消除,是限制MEMS陀螺精度提高的主要因素。有鑒于此,本文以目前較常用的低成本MEMS慣性器件MPU-6050中的陀螺儀為研究對(duì)象,開展了對(duì)MEMS陀螺儀隨機(jī)漂移誤差建模分析與修正技術(shù)的研究,本文的主要研究內(nèi)容及取得結(jié)論如下:首先,為采集陀螺儀的靜態(tài)漂移數(shù)據(jù),以STM32F103C8T6為核心處理器設(shè)計(jì)并構(gòu)建了MEMS陀螺儀誤差數(shù)據(jù)采集系統(tǒng),實(shí)現(xiàn)了對(duì)MPU-6050中陀螺儀靜態(tài)漂移數(shù)據(jù)的采集。其次,在對(duì)MEMS陀螺儀隨機(jī)漂移誤差建模與濾波技術(shù)的研究現(xiàn)狀與發(fā)展動(dòng)態(tài)調(diào)研分析的基礎(chǔ)上,研究了MEMS陀螺儀靜態(tài)漂移誤差產(chǎn)生的機(jī)理及隨機(jī)漂移誤差的組成,并采用Allan方差法辨識(shí)已采集到的MEMS陀螺儀靜態(tài)漂移誤差。誤差分析結(jié)果表明,該陀螺儀的靜態(tài)漂移誤差主要由零偏不穩(wěn)定性、速率隨機(jī)游走及速率斜坡三部分噪聲構(gòu)成。再次,對(duì)MEMS陀螺儀靜態(tài)漂移數(shù)據(jù)進(jìn)行預(yù)處理和數(shù)據(jù)檢驗(yàn)以得到平穩(wěn)隨機(jī)的誤差數(shù)據(jù),然后采用AIC準(zhǔn)則對(duì)模型定階并用Yule-Walker方程確定模型參數(shù),在此基礎(chǔ)上建立陀螺儀隨機(jī)漂移誤差的時(shí)間序列模型,結(jié)合誤差模型設(shè)計(jì)了卡爾曼濾波器,并對(duì)誤差數(shù)據(jù)濾波。對(duì)比濾波前后各項(xiàng)指標(biāo),經(jīng)卡爾曼濾波后的MEMS陀螺儀隨機(jī)漂移誤差數(shù)據(jù)的方差下降為濾波前的11.7%,影響MEMS陀螺儀精度的主要隨機(jī)誤差中,零偏不穩(wěn)定性噪聲系數(shù)減少了68.6%,速率隨機(jī)游走噪聲系數(shù)減少了67.7%,速率斜坡噪聲系數(shù)減少了68.0%,表明卡爾曼濾波能有效的減少M(fèi)EMS陀螺儀隨機(jī)漂移誤差。最后,針對(duì)時(shí)間序列和卡爾曼濾波對(duì)MEMS隨機(jī)漂移數(shù)據(jù)處理中的不足,采用Singer運(yùn)動(dòng)模型建立MEMS隨機(jī)漂移誤差的模型,結(jié)合粒子-卡爾曼組合濾波的方法處理零均值化后的陀螺隨機(jī)漂移誤差數(shù)據(jù)。比較濾波前后各項(xiàng)指標(biāo),經(jīng)粒子-卡爾曼組合濾波后誤差數(shù)據(jù)的方差下降為濾波前的1.2%,影響MEMS陀螺儀精度的主要隨機(jī)誤差中,零偏不穩(wěn)定性噪聲系數(shù)減少了72.8%,速率隨機(jī)游走噪聲下降了76.2%,速率斜坡噪聲下降了74.6%,表明粒子-卡爾曼組合濾波的方法能顯著的抑制MEMS陀螺隨機(jī)漂移誤差。研究結(jié)果表明,本文采用的時(shí)間序列建模與卡爾曼濾波、基于Singer模型建模與粒子-卡爾曼濾波組合濾波兩種方案均能有效的抑制MEMS陀螺儀的隨機(jī)漂移誤差,且粒子-卡爾曼組合濾波方法的濾波效果要優(yōu)于卡爾曼濾波。研究成果能有效修正MEMS陀螺儀的隨機(jī)漂移誤差,對(duì)于提高以低成本MEMS陀螺儀作為主要慣性傳感器的慣性導(dǎo)航系統(tǒng)的導(dǎo)航精度具有一定的實(shí)用價(jià)值。
[Abstract]:In recent years, as a very important part of inertial navigation technology, MEMS gyroscope has been widely used in the fields of inertial navigation, industrial control and electronic products because of its advantages such as low cost, small size, light weight and high integration. Compared with the traditional type gyroscope, MEMS gyroscope has many advantages, but it has a lot of advantages. The measurement precision of the manufacturing process and the design level is relatively low, which often can not meet the actual use demand and greatly restricts the development and application of the MEMS gyroscope. Especially for the gyro random drift error, because the mechanism is very complex, there is no definite law and changes with the external environment, and it can not be used. It is the main factor to limit the precision of MEMS gyroscope, which is the main factor to limit the precision of the gyroscope. In this paper, the research on the modeling analysis and correction of the random drift error of the MEMS gyroscope is carried out in this paper, which is the research object of the gyroscope in the low cost MEMS inertial device MPU-6050. The research content and the conclusions are as follows: first, in order to collect the static drift data of the gyroscope, the MEMS gyroscope error data acquisition system is designed and constructed with STM32F103C8T6 as the core processor. The data collection of the gyro static drift in the MPU-6050 is realized. Secondly, the modeling and filtering of random drift error of the MEMS gyroscope is made. On the basis of research status and development dynamic investigation and analysis, the mechanism of the static drift error of MEMS gyroscope and the composition of random drift error are studied. The static drift error of the MEMS gyroscope has been identified by the Allan variance method. The error analysis results show that the static drift error of the gyroscope is mainly caused by the zero bias instability. Three parts of the rate random walk and the rate slope are made up. Again, the static drift data of the MEMS gyroscope are preprocessed and the data are tested to get the stationary random error data. Then the model parameters are determined by the AIC criterion and the model parameters are determined by the Yule-Walker equation. On this basis, the time of random drift error of the gyroscope is established. The Calman filter is designed with the error model, and the error data filter is designed. The variance of the random drift error data of the MEMS gyroscope after the Calman filter is reduced to 11.7% before and after the Calman filtering. In the main random error that affects the precision of the MEMS gyroscope, the zero bias instability noise coefficient is reduced. 68.6%, the rate of random walk noise reduction is reduced by 67.7% and the rate of rate slope noise reduction is reduced by 68%. It shows that Calman filter can effectively reduce the random drift error of MEMS gyroscope. Finally, the random drift of MEMS drift data is not enough for time series and Calman filtering, and the random drift of MEMS is established by using the Singer motion model. The error model is combined with the particle Calman combination filtering method to deal with the random drift error data of the gyroscope after the zero mean. The variance of the error data is reduced to 1.2% before filtering after the particle Calman combination filtering, and the zero bias instability noise is affected by the main random error of the precision of the MEMS gyroscope. The sound coefficient is reduced by 72.8%, the rate of random walk noise is reduced by 76.2% and the rate of rate slope is reduced by 74.6%. It shows that the method of particle Calman combination filtering can significantly inhibit the random drift error of MEMS gyro. The results show that the time series modeling and Calman filtering adopted in this paper are based on the Singer model modeling and particle Carle. Two schemes of Mann filter combined filter can effectively suppress random drift error of MEMS gyroscope, and the filtering effect of particle Calman combination filtering method is better than Calman filter. The research results can effectively modify the random drift error of MEMS gyroscope, and improve the inertia of the low current MEMS gyroscope as the main inertial sensor. The navigation accuracy of the sex navigation system is of practical value.

【學(xué)位授予單位】:西南大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TN96

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