Abstract
The aim of this text is to show that when approximating a 2nd order system with one double pole and with a dead time (DT), the approximation with the generalized Laguerre Function (GLF) for large DT gives better results than with the simple Laguerre function (SLF). For a given required integral square error (ISE), the GLF series has a smaller number of terms. However, for small DT, there is an area in which the SLF approximation gives a smaller ISE error.
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