Computation of boundary control of controlled heat equation using artificial neural networks

N. Sukavanam; Vikas Panwar

doi:10.1016/S0735-1933(03)00179-9

Computation of boundary control of controlled heat equation using artificial neural networks

N. Sukavanam^*
, Vikas Panwar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

A method of computing boundary control of semilinear controlled heat equation is proposed. Artificial Neural Network (ANN) based controller has been designed. Control terms are approximated by neural networks and a trial solution is written for the controlled heat equation as a sum of two terms. The first term satisfies the given initial, boundary and final conditions and the second term is a feed-forward neural network, constructed so as not to affect' the given conditions. Then the networks are trained to satisfy the heat equation and associated initial, boundary and final conditions.

Original language	English
Pages (from-to)	1137-1146
Number of pages	10
Journal	International Communications in Heat and Mass Transfer
Volume	30
Issue number	8
DOIs	https://doi.org/10.1016/S0735-1933(03)00179-9
Publication status	Published - 11-2003

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
General Chemical Engineering
Condensed Matter Physics

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10.1016/S0735-1933(03)00179-9

Cite this

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AB - A method of computing boundary control of semilinear controlled heat equation is proposed. Artificial Neural Network (ANN) based controller has been designed. Control terms are approximated by neural networks and a trial solution is written for the controlled heat equation as a sum of two terms. The first term satisfies the given initial, boundary and final conditions and the second term is a feed-forward neural network, constructed so as not to affect' the given conditions. Then the networks are trained to satisfy the heat equation and associated initial, boundary and final conditions.

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Computation of boundary control of controlled heat equation using artificial neural networks

Abstract

All Science Journal Classification (ASJC) codes

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