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This paper explores the manipulation between eigen states in a two-level system by a sequence of instantaneous projective measurements.Three cases of the manipulations are studied:the manipulation of optimal measurement-based control;the optimal measurement-based manipulation with the effect of free evolution of system;and the extal control fields being used to compensate for the effect caused by the free evolution.Numerical simulations are conducted to verify the results obtained from the theoretically analytical solutions.The optimal parameters for each manipulation case are obtained.The experimental results indicate that the extal control fields can make the optimal measurement-based control more effective.