基于最小二乘法的时滞实时在线估计方法  

A real-time approach to delay estimation based on the Least-Square algorithm

作　　者：王贞[1] 吴斌[1] 

机构地区：[1]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090

出　　处：《振动工程学报》2009年第6期625-631,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金(90715036;50578047);地震行业科研专项经费(20084190731)资助项目

摘　　要：在实时子结构试验中,液压伺服加载系统的时滞可能导致试验因丧失稳定而失败,因而时滞估计和补偿是该类试验的关键问题之一。在分析另外两种实时子结构试验时滞估计方法缺点的基础上,根据泰勒级数建立了命令位移、响应位移和系统时滞之间的近似关系,提出了采用渐消记忆递推最小二乘算法实时在线估计系统时滞的方法。时滞估计算例表明,即使考虑了随机测量误差和幅值误差,该方法也具有较好的反应速度和精度,能较好地跟踪系统时滞的变化。实时子结构试验时滞补偿算例表明,所提出的估计方法的精度、反应速度和时滞补偿效果都比较理想。与另外两种实时子结构试验时滞估计方法相比,该方法具有一定优势。The delay estimation and compensation are key problems in real-time substructure testing because the delay of servo-hydraulic loading system may induce failure due to experimental instability. After analyzing the shortcomings of the two other methods for estimating delay, the paper establishes an approximate relationship between displacements and system delay according to Taylor series firstly, and then proposes a real-time approach to delay estimation based on fading memory recursive Least-Square algorithm. Simulation results of delay estimation indicate that the approach converges rapidly and accurately, and is able to effectively track time-varying delay even though random measurement errors and amplitude errors are taken into account. A numerical example of real-time substructure testing with delay compensation shows that the accuracy and the convergence speed of the delay estimation method and the effect of delay compensation are rather satisfactory. The approach may be superior for real-time substructure testing to the two other methods.

关 键 词：实时子结构试验 时滞实时在线估计 最小二乘法 时滞补偿 

分 类 号：TU317[建筑科学—结构工程] TP273[自动化与计算机技术—检测技术与自动化装置]