Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems

Fuzzy Counter Propagation Neural Network (FCPN) controller design is developed, for a class of nonlinear dynamical systems. In this process, the weight connecting between the instar and outstar, that is, input-hidden and hidden-output layer, respectively, is adjusted by using Fuzzy Competitive Learn...

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Main Authors: Vandana Sakhre, Sanjeev Jain, Vilas S. Sapkal, Dev P. Agarwal
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Computational Intelligence and Neuroscience
Online Access:http://dx.doi.org/10.1155/2015/719620
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spelling doaj-6c9ca41a4f974f35998960c822d8177a2020-11-24T21:35:41ZengHindawi LimitedComputational Intelligence and Neuroscience1687-52651687-52732015-01-01201510.1155/2015/719620719620Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical SystemsVandana Sakhre0Sanjeev Jain1Vilas S. Sapkal2Dev P. Agarwal3Madhav Institute of Technology & Science, Gwalior 474005, IndiaMadhav Institute of Technology & Science, Gwalior 474005, IndiaSGB Amravati University, Amravati 444062, IndiaIIT, Delhi 110001, IndiaFuzzy Counter Propagation Neural Network (FCPN) controller design is developed, for a class of nonlinear dynamical systems. In this process, the weight connecting between the instar and outstar, that is, input-hidden and hidden-output layer, respectively, is adjusted by using Fuzzy Competitive Learning (FCL). FCL paradigm adopts the principle of learning, which is used to calculate Best Matched Node (BMN) which is proposed. This strategy offers a robust control of nonlinear dynamical systems. FCPN is compared with the existing network like Dynamic Network (DN) and Back Propagation Network (BPN) on the basis of Mean Absolute Error (MAE), Mean Square Error (MSE), Best Fit Rate (BFR), and so forth. It envisages that the proposed FCPN gives better results than DN and BPN. The effectiveness of the proposed FCPN algorithms is demonstrated through simulations of four nonlinear dynamical systems and multiple input and single output (MISO) and a single input and single output (SISO) gas furnace Box-Jenkins time series data.http://dx.doi.org/10.1155/2015/719620
collection DOAJ
language English
format Article
sources DOAJ
author Vandana Sakhre
Sanjeev Jain
Vilas S. Sapkal
Dev P. Agarwal
spellingShingle Vandana Sakhre
Sanjeev Jain
Vilas S. Sapkal
Dev P. Agarwal
Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems
Computational Intelligence and Neuroscience
author_facet Vandana Sakhre
Sanjeev Jain
Vilas S. Sapkal
Dev P. Agarwal
author_sort Vandana Sakhre
title Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems
title_short Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems
title_full Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems
title_fullStr Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems
title_full_unstemmed Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems
title_sort fuzzy counter propagation neural network control for a class of nonlinear dynamical systems
publisher Hindawi Limited
series Computational Intelligence and Neuroscience
issn 1687-5265
1687-5273
publishDate 2015-01-01
description Fuzzy Counter Propagation Neural Network (FCPN) controller design is developed, for a class of nonlinear dynamical systems. In this process, the weight connecting between the instar and outstar, that is, input-hidden and hidden-output layer, respectively, is adjusted by using Fuzzy Competitive Learning (FCL). FCL paradigm adopts the principle of learning, which is used to calculate Best Matched Node (BMN) which is proposed. This strategy offers a robust control of nonlinear dynamical systems. FCPN is compared with the existing network like Dynamic Network (DN) and Back Propagation Network (BPN) on the basis of Mean Absolute Error (MAE), Mean Square Error (MSE), Best Fit Rate (BFR), and so forth. It envisages that the proposed FCPN gives better results than DN and BPN. The effectiveness of the proposed FCPN algorithms is demonstrated through simulations of four nonlinear dynamical systems and multiple input and single output (MISO) and a single input and single output (SISO) gas furnace Box-Jenkins time series data.
url http://dx.doi.org/10.1155/2015/719620
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