Design of Finite-Dimensional Observer-Based Fault Diagnosis for a Class of Distributed Parameter Systems

Abstract

A new method for the design of finite-dimensional observer-based fault diagnosis for a class of distributed parameter systems is presented. The considered system is a set of parabolic equations with nonlinear boundary conditions which is reduced to a set of ordinary differential equations by the use of generalized orthogonal polynomials. The simultaneous state and sensors fault estimation of a class of distributed parameter systems is transformed to the state observation of finite dimensional nonlinear descriptor system without assumptions about the dynamics of fault components. The proposed observer is a finite dimensional non singular system. The exponential convergence in the original coordinates is stated and a numerical example is given to illustrate the efficiency of the method.