Robust H∞ Fault–tolerant Control against Sensor and Actuator Failures for Uncertain Descriptor Systems

Abstract Based on H ∞ theory in descriptor systems, a method of designing output-feedback dynamical compensators for uncertain descriptor systems with sensor and actuator failures is presented. The dynamical compensator designed by the proposed method can guarantee that the resultant closed-loop uncertain descriptor system is regular, impulse-free, stable and keeps certain H ∞ norm performance in the normal condition as well as in the event of sensor and actuator failures. A numerical example shows the effect of the proposed method.