PDα-type iterative learning control for fractional-order singular time-delay system

In this paper a closed-loop PD^α - type iterative learning control (ILC) of fractional order singular time-delay system is considered. In particular, we discuss fractional order linear singular timed-delay systems in state space form. The sufficient conditions for the convergence in time domain of the proposed PD-alpha type ILC for a class of fractional order singular system are given by the corresponding theorem together with its proof. Finally, the validity of the proposed PD^α ILC scheme for a class of fractional order singular time-delay system is verified by a numerical example.