Identifiability and identification of a class of parabolic distributed systems under approximation

Abstract

The identifiability and identification problem of linear distributed parameter systems is studied. A parabolic distributed parameter system is approximated into a finite-dimensional model using orthogonal polynomials. The identifiability problem of the lumped model is studied. Then the problem of estimating the parameters of the finite-dimensional model is investigated, and the local uniqueness of the identified values is discussed. An illustrative example is given and good results are obtained.