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本文针对离散混沌系统提出了一种基于近似动态规划方法的最优能量控制。针对混沌系统的特性,该方法提出了最优能量控制的自适应迭代方案,克服了传统动态规划方法所产生的“维数灾”问题,并给出了完整的理论证明。证明结果显示,当迭代步数足够大,该迭代算法能够收敛到最优性能指标函数,且能够得到最优的控制策略。在仿真试验中,研究了Henon映射的最优控制问题,仿真结果验证了本文提出迭代控制方案的有效性和可行性。“,”In this paper the optimal energy control for a class of chaotic systems based on adaptive dynamic programming is proposed. The curse of dimensionality emerging in dynamic programming is overcomed by the proposed adaptive iteration scheme. The detailed proof is given. When the iteration step is large enough, the iteration algorithm can be reach to the optimal performance index function, and the optimal control policy is obtained. In the simulation part, the optimal control for Henon mapping is studied, the similation results show that the iteration algorithm is effective and feasible.