一种新的离散非线性系统神经控制训练算法

Raj Patel, Divyam Mandradia, Koshy George
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引用次数: 1

摘要

物理系统本质上是非线性的,传统的控制这种系统的方法是基于一阶线性近似。尽管在过去的几十年里提出了几种非线性控制设计方法,但大多数都需要分析模型。相比之下,自1990年纳伦德拉和帕萨萨拉斯发表论文以来,人工神经网络一直被用作控制模型。这些循环网络使用在其他环境中流行的反向传播算法进行训练。主要问题是众所周知的缓慢趋同。最近又提出了一种具有较好收敛性的在线顺序学习算法。然而,该算法适用于具有单个隐藏层的前馈神经网络。我们提出将该算法的适用性扩展到具有两个隐藏层的网络。扩展是通过结合误差反向传播实现的。进一步证明了该算法具有较好的收敛性。
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A Novel Training Algorithm for Neuro-control of Discrete-time Nonlinear Systems
Guntur District, AP, India Guntur District, AP, India Physical systems are inherently nonlinear, and traditional methods of controlling such systems are based on a first-order linear approximation. Even though several nonlinear control design methods have been proposed in the past decades, most of these require analytical models. In contrast, artificial neural networks have been used as models for control since the paper published by Narendra and Parthasarathy in 1990. These recurrent networks are trained using the back-propagation algorithm, popular in other contexts. The principal issue was the notoriously slow convergence. More recently, an online sequential learning algorithm was proposed, which had better convergence properties. However, this algorithm applies to feedforward neural networks with a single hidden layer. We propose extending this algorithm’s applicability to networks with two hidden layers. The extension is achieved by incorporating error back-propagation. Further, we demonstrate that this novel algorithm has better convergence properties.
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