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This paper investigates the problem of fractional order tracking dierentiator.The convergence theorem of fractional order tracking dierentiator is proposed and the theorem provides a way to construct a fractional order tracking dierentiator from any fractional order globally asymptotically stable system.Adaptations of these,some typical fractional order tracking dierentiator are introduced.Finally,numerical simulations are performed to demonstrate the eectiveness of the proposed method.