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Control of chaotic and nonlinear systems influenced by dynamic noise.

机译:受动态噪声影响的混沌和非线性系统的控制。

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In this research, the effect of dynamic noise on OGY type control algorithms was studied. The research was done by conducting numerical experiments on a number of systems, i.e., the Henon map, the Ikeda map, a model for internal combustion engines, and a model for continuous stirred tank reactors.; It was found that the fixed point location does not appear to be influenced by Gaussian noise. The manifold structure, however, does change with different noise intensities. Studies were also done to evaluate the effect of noise on directions of maximum and minimum contraction. These were found to be independent of Gaussian noise.; The original OGY control was found to be less that optimal when noise is added to the system. Comparisons were also made between the original OGY and a control algorithm based on the singular value decomposition. The SVD method appeared slightly more robust in noisy environments.; It was found that neither the original OGY, nor the SVD method were optimally suited for control when the system is being influenced by parametric noise. A number of guidelines were proposed and tested to optimize the search for the optimal control condition.
机译:在这项研究中,研究了动态噪声对OGY类型控制算法的影响。这项研究是通过在许多系统上进行数值实验而完成的,即Henon图,Ikeda图,内燃机模型和连续搅拌釜反应器模型。发现固定点位置似乎不受高斯噪声的影响。但是,歧管结构会随着噪声强度的变化而变化。还进行了研究以评估噪声对最大和最小收缩方向的影响。发现这些与高斯噪声无关。当将噪声添加到系统时,发现原始的OGY控件未达到最佳效果。还对原始OGY和基于奇异值分解的控制算法进行了比较。 SVD方法在嘈杂的环境中显得更加健壮。结果发现,当系统受到参数噪声的影响时,原始的OGY方法和SVD方法都不适合控制。提出并测试了许多准则,以优化对最佳控制条件的搜索。

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