Robust fault-tolerant H2 /H∞ controller design based on state feedback

This paper studies mixed H₂/H_∞ robust fault-tolerant control for a class of uncertain systems with actuator or sensor faults. A sufficient and necessary condition is derived by using Linear Matrix Inequality (LMI) approach, which guarantees that the uncertain closed-loop system is robustly asymptotically stable and satisfies the mixed H₂/H_∞ constraints in both normal and any actuator or sensor failure cases. Under the designed state feedback controller, in any case, when all possible actuators or sensors failure, the closed-loop system remains asymptotically stable and satisfies the given disturbance attenuation performances. It gives a uniform conclusion on those actuators´ faults or sensors´ faults. This can be used as an reference in some engineering systems, when it refers to the robust fault-tolerant control.