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

Abstract

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.