Based on the features of initial value sensitivity, parameter sensitivity, ergodicity and random similarity, chaotic maps are now widely used in information encryption.

混沌映射因为初值敏感性、参数敏感性、遍历性和类随机性的特点，很适合用于信息加密。

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The emulation shows that the method doesn't depend on the initial parameter value of the system and the searching efficiency can be ameliorated and has strong robustness.

仿真结果表明，该方法有效地消除了参数整定对参数初值的依赖性，使得寻优效率大大提高，同时具有很强的鲁棒性。

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The initial PID parameter value is determined by the relay auto-tuning method, so the part minimum problem of the neural network can be prevented.

用继电器自整定法确定PID参数的初值，防止神经网络的局部极小问题。

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