A method for the solution of a certain class of inverse problems is presented. In particular, the method is of interest in cases in which the operation of the engineering system under consideration is extensively monitored, in the sense that the number of output parameters is larger than the number of input parameters. This redundancy of output data often occurs in aerospace engineering applications. The method is based on the Latent Semantic Analysis formulation with a modification specifically adapted to the problem under consideration. The method belongs to the family of the so-called Reduced Order Models since the search for the input parameters is made on spaces whose dimensionality is lower than that of the original space. The main advantage of the method is that most of the computational effort can be shifted off-line, thereby allowing for its use in real time (on-line) applications. The method is described by addressing the inverse problem of input parameter characterization in an aerojet engine.

提出了一种解决一类反问题的方法。特别地，在输出参数数量大于输入参数数量的意义上，在广泛监控所考虑工程系统运行的情况下，该方法非常有用。输出数据的这种冗余通常发生在航空工程应用中。该方法基于“潜在语义分析”公式，并进行了专门修改以适应所考虑的问题。该方法属于所谓的“降序模型”的族，因为在尺寸小于原始空间的尺寸的空间上进行输入参数的搜索。该方法的主要优势在于，大部分计算工作都可以离线进行，从而允许其在实时（在线）应用程序中使用。通过解决航空发动机中输入参数表征的反问题来描述该方法。