Disturbance decoupling observers for descriptor distributed parameter systems

In this paper, the disturbance decoupling observer design problem for a class of distributed parameter systems with unknown disturbance in the state and in the measurement equations is considered. The disturbance distribution is an unknown signal, but the operator describing the disturbance is known. All operators for systems and observers are bounded operators. A novel disturbance decoupling observers design scheme is proposed via the algebraic transformation. The solvability of the problem hinges on the solution to a corresponding operator equation. The existence conditions for the disturbance decoupling observers are presented. Finally, a numerical example of a 1-D parabolic system is used to illustrate the results of the disturbance decoupling observers..