Observer-based H∞ fault-tolerant control for descriptor linear systems with sensor failures

Based on H_∞ theory and state-observer theory in descriptor systems, a method of designing controllers for descriptor systems with sensor failures is presented. The controller designed by the proposed method can guarantee that the resultant closed-loop system is regular, impulse-free, stable and keeps certain H_∞ norm performance in the normal conditions as well as in the event of sensor failures. A numerical example shows the effect of the proposed method.