Open-closed loop fractional-order iterative learning control for singular fractional-order system

Abstract

An open-closed-loop P/PDalpha type iterative learning control (ILC) of fractional-order singular system is investigated. In particular, we discuss fractional-order linear singular systems in pseudo state space form. The sufficient conditions for the convergence in time domain of the proposed fractional-order ILC for a class of fractional-order singular system are defined by the corresponding theorem together with its proof. Finally, a numerical example is presented to illustrate the performance of the proposed factional order ILC.