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Solution of matrix Riccati differential equation for nonlinear singular system using neural networks

by J. Abdul Samath, N. Selvaraju
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 1 - Number 29
Year of Publication: 2010
Authors: J. Abdul Samath, N. Selvaraju
10.5120/575-181

J. Abdul Samath, N. Selvaraju . Solution of matrix Riccati differential equation for nonlinear singular system using neural networks. International Journal of Computer Applications. 1, 29 ( February 2010), 48-55. DOI=10.5120/575-181

@article{ 10.5120/575-181,
author = { J. Abdul Samath, N. Selvaraju },
title = { Solution of matrix Riccati differential equation for nonlinear singular system using neural networks },
journal = { International Journal of Computer Applications },
issue_date = { February 2010 },
volume = { 1 },
number = { 29 },
month = { February },
year = { 2010 },
issn = { 0975-8887 },
pages = { 48-55 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume1/number29/575-181/ },
doi = { 10.5120/575-181 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:42:01.731064+05:30
%A J. Abdul Samath
%A N. Selvaraju
%T Solution of matrix Riccati differential equation for nonlinear singular system using neural networks
%J International Journal of Computer Applications
%@ 0975-8887
%V 1
%N 29
%P 48-55
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, the solution of the matrix Riccati differential equation(MRDE) for nonlinear singular system is obtained using neural networks. The goal is to provide optimal control with reduced calculus effort by comparing the solutions of the MRDE obtained from well known traditional Runge Kutta(RK)method and nontraditional neural network method. Accuracy of the neural solution to the problem is qualitatively better. The advantage of the proposed approach is that, once the network is trained, it allows instantaneous evaluation of solution at any desired number of points spending negligible computing time and memory. The computation time of the proposed method is shorter than the traditional RK method. An illustrative numerical example is presented for the proposed method.

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Index Terms

Computer Science
Information Sciences

Keywords

Matrix Riccati differential equation Nonlinear Optimal control Singular system Runge Kutta method and Neural networks

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