Fault Estimation for Continuous Time Linear Systems with Time-varying Delay Based on Intermediate Estimator over Fading Channels

The problem of the fault estimation for continuous time linear systems with time-varying delay based on the intermediate estimator method is considered over fading channels. The fault estimation filter parameters are designed using the Lyapunov function method, a reciprocal convex combination approach, Wirtinger integral inequality and LMI formulation for the analysis and synthesis of the resultant systems. The desired filter parameter gains are obtained such that the resulting filter error system is exponentially stable. Then, the congruence transform method is used to remove the design constraints to obtain the feasibility result. A numerical example illustrates the effectiveness of the proposed method.