Fault reconstruction of descriptor nonlinear system based on sliding mode observer

Fault reconstruction methods of actuator faults based on sliding mode observer for descriptor Lipschitz nonlinear systems with uncertain are considered and the design algorithms are given. The method uses H_∞ control theory to design the observer gain such that L₂ gain from the uncertainty to reconstruction error of fault was minimized. The design is formulated as a convex optimization problem subject to LMI constraints. With simulation, the effectiveness of the design technique is illustrated.