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Solving the nonlinear regulator equations by a single layer feedforward neural network

✍ Scribed by Yun-Chung Chu; Jie Huang

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 238 KB
Volume: 35
Category: Article
ISSN: 0360-8352
DOI: 10.1016/s0360-8352(98)00094-1

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✦ Synopsis

This paper proposes to solve the nonlinear regulator equations based on a single hidden layer feedforward neural network, leading to an effective approach to approximately solve the nonlinear servomechanism problem. The resulting design method is illustrated by application to the wellknown ball and beam system, Q 1998 Elsevier Science Ltd. All rights reserved.

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We present a method to solve boundary value problems using artificial neural networks (ANN). A trial solution of the differential equation is written as a feed-forward neural network containing adjustable parameters (the weights and biases). From the differential equation and its boundary conditions