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In this paper, we investigate into the problem of energy-aware power allocation for a dual-hop cooperative relay network, and propose a prediction-based perceived lifetime (P-PLT) power allocation algorithm for network lifetime maximization. We obtain MMSE channel prediction for the future time slots and maximize perceived lifetime at each time slot to determine the power allocation. The P-PLT algorithm implements m-step channel prediction for power allocation, where m depends on the trade-off between performance and complexity. Compared to the existing non-prediction based energy-aware power allocation algorithm, which is solely based on the current channel state information, the proposed algorithm can provide substantial performance improvement as shown in the numerical results.