Observer Design for Simultaneous State and Fault Estimation for a Class of Discrete-time Descriptor Linear Models

This paper investigates the problem of observer design for simultaneous states and faults estimation a class discrete-time descriptor linear models in presence actuator sensor faults. The idea present result is based on second equivalent form implicit model [1] which permits to separate differential algebraic equations considered singular model, use an explicit augmented structure. At that stage, built estimate simultaneously unknown states, faults, Next, structure established. Then, By using Lyapunov approach, convergence state error system analyzed, observer’s gain matrix achieved by solving only one inequality (LMI). long last, illustrative given show performance capability proposed strategy.