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Power system is a wide-area distributed system whose dynamic behavior is very complex. To analyze and control such a system, it is either too difficult to set up a particular and accurate mathematic model or the hypothetical conditions for setting up the model are difficult to be satisfied in practice. However, the human behavior, which is ball-catching theorem studied in robotics, tells us that we can often deal with a problem without the accurate and particular model of the system. Inspired by this idea, this paper proposes a fast algorithm for the generator's disturbed trajectory prediction. The method is a closed-loop control with the adaptive process of "measuring- regulating-predicting" and depends only on the generator's local measurements. Theoretical analysis and numeric simulation shows that the algorithm is efficient and provides a feasible solution for real-time transient stability analysis and control.