A general algorithm for parameter identification in lumped continuous systems--The Poisson moment functional approach

Abstract

This note presents a general algorithm for parameter identification in lumped linear continuous systems in the form \sum\min{i=0}\max{n} \sum\min{j=0}\max{m} a_{i\cdotj}t^{j}\frac{d^{n-i}f(t)}{dt^{n-1}} = \sum\min{i=0}\max{n} \sum\min{j=0}\max{m} b_{i\cdotj}t^{j}\frac{d^{n-1}r(t)}{dt^{n-i}} from an arbitrary record of f(t) and r(t) over an interval of time. The approach is based on treating the process data in terms of Poisson moment functionals (PMF).