Design of faults estimation for uncertain state space time delay systems

Fault estimation is considered as one of the most essential problem in diagnosis domain. In this paper, a simultaneous state and fault estimation is treated for state time delay system. The fault estimation technique is based on H
∞
optimization method to addressed the subject of robustness in the presence of disturbance and uncertainties. The fault estimation is made by using the Lyapunov Krasovskii functional. The condition of existent of a feasible solution from a convex problem is solved using Linear Matrix Inequality (LMI) optimization. The effectiveness of the designed methodology is verified based on a two-stage chemical reactor with delay recycle streams.