Robust H∞ fault-tolerant control based on state-observer

Using linear matrix inequalities technique, the problem of robust H_∞ fault-tolerant control based on state observer was considered for a class of linear uncertain systems. When the sensor failed, the state feedback control law was designed based on the fault-tolerant state observer, such that the closed-loop system was still stable and satisfied H_∞ performance index. The gains of the state observer and the state feedback were obtained at the same time by solving a linear matrix inequality. This method could avoid the inconvenience to design the two gains by separate. An example was given to illustrate the effectiveness of the proposed method.