Exponential state observer for a class of distributed parameter systems via generalized orthogonal polynomials

In this paper, modelling and observer design of a class of distributed parameter system are presented. The system considered is a thermal process with mixed conduction, convection and radiation heat transfers. This is governed by parabolic equations with nonlinear boundary conditions. The distributed parameter system is reduced to a finite dimensional nonlinear system by using generalized orthogonal polynomials. A simple and useful finite dimensional state observer is performed and the convergence of the observer in the original coordinates is stated