Dynamic output feedback H-infinity control for fractional-order linear uncertain systems with actuator faults

This paper is concerned with the problem of robust fault-tolerant H-infinity dynamic output feedback control for fractional-order linear uncertain systems with the order satisfying 0 < alpha < 1 in the presence of actuator faults. A new linear matrix inequality (LMI) formulation corresponding to the H-infinity norm of fractional-order linear systems is proposed. Based on the new formulation and by introducing a new linearizing change of variables, sufficient conditions for robust fault-tolerant H-infinity dynamic output feedback controller designs are derived in term of LMIs. Furthermore, the proposed controller not only enables the system to keep robust stabilization, but also achieves a better H-infinity performance compared with the existing methods. Numerical examples are given to illustrate the design procedure and its effectiveness. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.