变形监测中Kalman滤波状态模型的比较分析戴吾蛟.pdfVIP

29 6 Vo .l 29 No. 6 20 0 9 12 JOURNAL OF GEODESY AND GEODYNAM ICS Dec. , 2009 : 1671- 942( 2009) 06-0088-0 * Kalman 戴吾蛟 伍锡锈 ( , 410083) , K alm an , , , Kalm an , K alm an ; ; ; ; : P207 : A COM PARATIVE ANALYSIS OF STATE MODELS OF KALMAN FILTER ING IN DEFORMATION MONITORING D aiW ujiao andWu X ixiu (D epartm ent of Survey Eng ineering and Geomatics, Central South University, Changsha 410083) Abstract In the k inematic position ing or dynam ic deformation monitoring, random w alk model, constant velocity model and constant acceleration model are usually app lied as the state model of K alm an filter. H ow ever, w ith these smi p le k inem atic m odels to describe the comp lex movem ent of the deform ed body, the modeled resu ltsw ill are inevitably contained errors and under some abnorm al distu rbance there are inevitably sign ificantmodel b iases in the original kinematicmode,l w h ich w ill seriously affect the accu racy of filtering. W ith smi u lated data random w alk model, constant velocity m ode,l constant acceleration model and constant velocity model w ith correction of the model b iases are comparatively analyzed. The advantages and d isadvantages of the above models are summarized for the application of deformation m on itoring. Key wor s: K alm an filter; correction of the m odel b iases; random w alk model; constant velocity model; constant acceleration model , , 1 引言 K alm an