An LMI-based Approach to Fault Detection for Uncertain State Feedback Control Systems

The paper studies the problem of fault detection for a class of uncertain state feedback tracking control systems with constant reference inputs. The considered systems are modeled via multiple modes, namely, nominal case and faulty case. The actuator stuck faults are considered. With the aid of the finite frequency positive-realness approach, a new LMI-based fault detection method for the control systems is obtained, and applied to the fault detection for flight control systems.