EFFECT OF EXCITATION FREQUENCY IN PERTURBATION-BASED EXTREMUM SEEKING METHODS
EFFECT OF EXCITATION FREQUENCY IN PERTURBATION-BASED EXTREMUM SEEKING METHODS
复制标题
基于扰动的极值搜索方法中激励频率的影响
DOI：
10.3182/20070606-3-mx-2915.00019
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
M. Guay
中科院分区：
文献类型：
--
作者：
M. Chioua;B. Srinivasan;M. Perrier;M. Guay
摘要 在基于扰动的极值搜索方法中，激励信号被添加到输入中，并且根据输入和输出变化之间的相关性计算出的梯度被强制为零。这里表明，扰动法达到的最优解与解之间的距离与激励频率的平方成正比，并且不会随着激励幅度的变化而变为零。然而，对于 Wiener/Hammerstein 近似，误差确实会随着激励幅度而变为零。简单反应系统的模拟结果用于说明本工作中提出的概念。
Abstract In perturbation-based extremum-seeking methods, an excitation signal is added to the input, and the gradient, computed from the correlation between the input and output variations, is forced to zero. It is shown here that the distance between the optimum and solution reached by the perturbation method is proportional to the square of the frequency of excitation and does not go to zero with the amplitude of the excitation. However, for Wiener/Hammerstein approximations, the error will indeed go to zero with the excitation amplitude. Simulation results on a simple reaction system are used to illustrate the concepts presented in this work.