Abstract: In order to accurately detect the fault signal of the system, and to ensure safe and stable operation, the method of building fault detection filter, the H_∞ fault detection problem of neutral systems with time-varying delays is studied. The delay-dependent Lyapunov function is selected to make the fault detection system is asymptotically stable and satisfies H_∞ performance criterion. And the LMI(Linear Matrix Inequality) technique is applied to converted the design problem of fault detection filter into a convex optimization problem of LMI. Finally, the proposed method is applied to two-stage dissolution tank system. Simulation results show that the proposed method can detect system faults quickly and accurately, and the proposed method can reduce the conservatism of system design compared with delay-independent Lyapunov function.

Key words: neutral systems,  , fault detection,  , Lyapunov function,  , linear matrix inequality ( LMI),  , two-stage dissolution tank