Robust H_∞ fault-tolerant control for uncertain descriptor systems by dynamical compensators

Robust H_∞ fault-tolerant control against actuator failures for a class of uncertain descriptor systems via dynamical compensators is investigated. Based on Hoo theory in descriptor systems, a sufficient condition for the existence of dynamical compensators with H_∞ fault-tolerant function is derived and expressions for the gain matrices in the compensators are presented. The dynamical compensator guarantees that the resultant closed-loop system is regular, impulse-free and stable, furthermore, it maintains certain H_∞ norm performance in the normal condition as well as in the event of actuator failures or parameter uncertainties. A numerical example shows the validity of the proposed method.