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

This paper is concerned with the problem of robust fault-tolerant H ∞ dynamic output feedback control for fractional-order linear uncertain systems with the order satisfying 0 < α < 1 in the presence of actuator faults. A new linear matrix inequality (LMI) formulation corresponding to the H ∞ 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 ∞ 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 ∞ performance compared with the existing methods. Numerical examples are given to illustrate the design procedure and its effectiveness. [ABSTRACT FROM AUTHOR]