The stabilization of all-pole unstable systems with time delay by fractional-order controllers is investigated in this paper. Sufficient conditions for stabilizability by fractional-order [PD]/[PI] controllers are determined. To derive the conditions for stability, an analysis based on Nyquist stability criterion is adopted and the upper bound for the time delay is determined. Furthermore, this paper provides the stabilizing range of the controller parameters. Theoretical proofs in company with illustrative examples are also provided.
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