隧道建设
隧道建設
수도건설
TUNNEL CONSTRUCTION
2014年
7期
649-652
,共4页
卡尔曼滤波%方差补偿%极大验后估计%自适应卡尔曼滤波%数据处理
卡爾曼濾波%方差補償%極大驗後估計%自適應卡爾曼濾波%數據處理
잡이만려파%방차보상%겁대험후고계%자괄응잡이만려파%수거처리
Kalman filtering%variance compensation%maximum a posterior (MAP)estimation%self-adapting Kalman filtering%data processing
由于传统卡尔曼滤波所建立的数学模型不是很精确,且动态噪声统计特性不易确定,可能导致滤波发散而无法获得准确的预测结果。为了克服这种现象,提出自适应卡尔曼滤波方法。分别用卡尔曼滤波、基于极大验后估计原理的自适应卡尔曼滤波和基于方差补偿的自适应卡尔曼滤波在地铁隧道沉降监测数据处理中的应用进行分析比较,结果表明,与其他方法相比,基于方差补偿的自适应卡尔曼滤波方法的变形预测精度更高。
由于傳統卡爾曼濾波所建立的數學模型不是很精確,且動態譟聲統計特性不易確定,可能導緻濾波髮散而無法穫得準確的預測結果。為瞭剋服這種現象,提齣自適應卡爾曼濾波方法。分彆用卡爾曼濾波、基于極大驗後估計原理的自適應卡爾曼濾波和基于方差補償的自適應卡爾曼濾波在地鐵隧道沉降鑑測數據處理中的應用進行分析比較,結果錶明,與其他方法相比,基于方差補償的自適應卡爾曼濾波方法的變形預測精度更高。
유우전통잡이만려파소건립적수학모형불시흔정학,차동태조성통계특성불역학정,가능도치려파발산이무법획득준학적예측결과。위료극복저충현상,제출자괄응잡이만려파방법。분별용잡이만려파、기우겁대험후고계원리적자괄응잡이만려파화기우방차보상적자괄응잡이만려파재지철수도침강감측수거처리중적응용진행분석비교,결과표명,여기타방법상비,기우방차보상적자괄응잡이만려파방법적변형예측정도경고。
As the mathematical model that is built in traditional Kalman filtering is not very accurate and its statistical characteristics of dynamic noise are difficult to confirm,the traditional Kalman filtering may lead to filtering divergence, even may lead to evaluation distortion.Therefore,the method of self-adapting Kalman filtering is put forward to solve this problem.In this article,traditional Kalman filtering,self-adapting Kalman filtering based on maximum a posterior (MAP)estimation principle,and self-adapting Kalman filtering based on variance compensation are used to process the data in settlement prediction of Metro tunnels,and analysis and comparison are made among these three methods.The result shows that,compared to the other two methods,the method of self-adapting Kalman filtering based on variance compensation is more accurate in settlement prediction.