Robust fault-tolerant control of uncertain fractional-order systems against actuator faults

This study investigates the problem of robust fault-tolerant control for uncertain fractional-order (FO) systems against actuator faults, whose commensurate order α is assumed to be 1 ≤ α <; 2. By using reciprocal projection lemma and some properties of Kronecker product, the authors present a sufficient condition for the existence of fault-tolerant FO dynamic output feedback controllers for the FO systems with polytope-type uncertainty. The controller designed here takes the possible actuator faults into consideration and ensures the resulting closed-loop system is robustly stable. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design method.