Design of robust H_∞ fault-tolerant output feedback control based on LMI

For linear uncertain systems with actuator faults, the problem of robust fault-tolerant H_∞ dynamic output feedback control was studied. Based on an actuator failure model with continuous gain, the sufficient condition for dynamic output feedback H_∞ robust fault-tolerant controllers was proposed by using a linear matrix inequality (LMI) approach, and the corresponding design method of a dynamic output feedback H_∞ controller was given. The proposed controller not only enables the system to keep robust stabilization but also achieves the given H_∞ performance. A simulation experiment shows that the proposed method is effective.