摘要：AbstractIn the last few decades the advantages of fractional-order control was demonstrated with several examples in comparison with integer-order control. In this paper, stabilizability of a second-order unstable system subject to a delayed PDµand PDµDρcontroller is investigated in terms of the critical delay. Stabilizability diagrams are determined as a function of the order of the fractional derivatives. It is shown that the critical delay for the PDµcontroller is larger by 12% than that of the PD1(or simply proportional-derivative, PD) controller and the critical delay for the PDµDρcontroller is larger by 3.8% than the critical delay of the PD1D2(or simply proportional-derivative-acceleration, PDA) controller.
