Design of PD Observer-Based Fault Estimator using a Descriptor Approach

A generalized principle of PD faults observer design for continuous-time linear MIMO systems is presented in the paper. The problem addressed is formulated as a descriptor system approach to PD fault observers design, implying the asymptotic convergence both the state observer error as fault estimate error. Presented in the sense of the second Lyapunov method, an associated structure of linear matrix inequalities is outlined to possess the observer asymptotic dynamic properties. The proposed design conditions are verified by simulations in the numerical illustrative example.