Robust H∞ reliable control for uncertain singular systems with state delay

The problem of robust and H_∞ reliable control for a class of uncertain singular systems with state time delay is concerned. The problem we address is to design a state feedback controller such that the resulting close loop systems is regular, impulse free and stable for all admissible uncertainties as well as actuator faults among a prespecified subset. A linear matrix inequality (LMI) design approach is proposed to solve the problem addressed with H_∞ norm bound constraint on disturbance attenuation. Finally, a numerical example is provided to demonstrate the application of the proposed method.