Application of transform factoring and transform least squares identification techniques

A study of Transform Factoring and. Transform Least Squares is presented in the early part of this work along with several examples. These methods make use of complex Laplace transform to reduce the search dimensionality for those cases where some of the parameters enter the differential equation in linear fashion. For those cases in which all parameters enter the differential equation linearly, the problem is reduced to the solution of a set of linear equations. In the later part of the thesis, application of control to the system is investigated, and the determination of control parameters with the above two methods is studied.