Observer Design for Distributed Parameter Systems

In this paper we suggest a novel design of a nonlinear observer for distributed parameter system described by combination of partial differential equations and ordinary differential equations. The proposed observer is based on sliding mode that provides robustness to possible mismatches between the system model and the actual system. A formula for the observer gain is derived that guarantees stability and convergence of the distributed observer state to the actual system state. Several examples are considered that illustrate the approach.