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Higher-Order Neural Network Based Root-Solving Controller for Adaptive Tracking of Stable Nonlinear Plants

机译:基于高阶神经网络的根求解控制器,用于稳定非线性植物的自适应跟踪

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The use of Intelligent control schemes in Nonlinear Model Based Control (NMBC) has gained widespread popularity. Neural Networks, in particular, have been used extensively to model the dynamics of nonlinear plants. However, in most cases, these models do not lend themselves to easy maneuvering for controller design. Therefore, a common need is being felt to develop intelligent control strategies that lead to computationally simple control laws. To achieve this objective, the present study combines the approximation power of Higher-Order Neural Networks (HONN) with the control-oriented nature of the recently developed U-model. By introducing the U-model equivalence of a Higher-Order Neural Unit (HONU), the control law synthesis part is reduced to a simple polynomial root-solving procedure. The proposed scheme is based on the robust Internal Model Control (IMC) structure and is suitable for stable nonlinear plants with uncertain dynamics. The main feature of the proposed structure is its ability to capture higher-order nonlinear properties of the input pattern space while allowing the synthesis of a simple control law. The scheme is therefore expected to prove extremely useful in the area of nonlinear adaptive control. The effectiveness of the proposed scheme is demonstrated through application to various nonlinear models.
机译:在基于非线性模型的控制(NMBC)中使用智能控制方案已获得广泛普及。尤其是神经网络已被广泛用于建模非线性植物的动力学。但是,在大多数情况下,这些模型并不适合于轻松进行控制器设计。因此,人们感到普遍需要开发导致控制上简单的计算定律的智能控制策略。为了实现这一目标,本研究将高阶神经网络(HONN)的逼近能力与最近开发的U模型的面向控制的性质相结合。通过引入高阶神经单元(HONU)的U模型等效性,控制律合成部分被简化为简单的多项式根求解过程。所提出的方案基于鲁棒的内部模型控制(IMC)结构,适用于具有不确定动力学的稳定非线性植物。所提出的结构的主要特征是它能够捕获输入模式空间的高阶非线性特性,同时允许合成简单的控制定律。因此,期望该方案在非线性自适应控制领域中被证明是非常有用的。通过应用于各种非线性模型证明了所提方案的有效性。

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