Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation

Nowadays, the discrete algebraic matrix Riccati equation (DAMRE) is widely used in control system theory, engineering application, etc. In order to solve the problem with the high accuracy of DAMRE, a large number of researchers have achieved great success in theoretical analysis and actively explor...

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Autores principales:	Siyuan Liao, Dongyang Fu, Haoen Huang, Chengze Jiang
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Discrete algebraic matrix Riccati equation (DAMRE) modified newton integration (MNI) algorithm noise tolerance ability Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/3cd23963acb94832a7d568d9afba45d7
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id	oai:doaj.org-article:3cd23963acb94832a7d568d9afba45d7
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spelling	oai:doaj.org-article:3cd23963acb94832a7d568d9afba45d72021-12-02T00:00:18ZModified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation2169-353610.1109/ACCESS.2021.3129788https://doaj.org/article/3cd23963acb94832a7d568d9afba45d72021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9623543/https://doaj.org/toc/2169-3536Nowadays, the discrete algebraic matrix Riccati equation (DAMRE) is widely used in control system theory, engineering application, etc. In order to solve the problem with the high accuracy of DAMRE, a large number of researchers have achieved great success in theoretical analysis and actively explored methods. In addition, they have achieved great success in both theoretical analysis and practical investigation, and some actively explored methods or practical investigations have been very effective. However, since previous research has not considered noise tolerance, this may cause unacceptable results and unsatisfactory effectiveness in practical utilization scenarios. To this end, inspired by the traditional Newton-Raphson iterative (NRI) algorithm, a modified Newton integration (MNI) algorithm is proposed with excellent noise tolerance ability. Through theoretical analyses, the proposed MNI algorithm is confirmed to retain the fast convergence property of the NRI algorithm and also possess strong noise tolerance. The numerical experiment results demonstrate that the proposed MNI algorithm has advantages in accuracy and noise tolerance compared with other algorithms.Siyuan LiaoDongyang FuHaoen HuangChengze JiangIEEEarticleDiscrete algebraic matrix Riccati equation (DAMRE)modified newton integration (MNI) algorithmnoise tolerance abilityElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 156680-156687 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Discrete algebraic matrix Riccati equation (DAMRE) modified newton integration (MNI) algorithm noise tolerance ability Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Discrete algebraic matrix Riccati equation (DAMRE) modified newton integration (MNI) algorithm noise tolerance ability Electrical engineering. Electronics. Nuclear engineering TK1-9971 Siyuan Liao Dongyang Fu Haoen Huang Chengze Jiang Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation
description	Nowadays, the discrete algebraic matrix Riccati equation (DAMRE) is widely used in control system theory, engineering application, etc. In order to solve the problem with the high accuracy of DAMRE, a large number of researchers have achieved great success in theoretical analysis and actively explored methods. In addition, they have achieved great success in both theoretical analysis and practical investigation, and some actively explored methods or practical investigations have been very effective. However, since previous research has not considered noise tolerance, this may cause unacceptable results and unsatisfactory effectiveness in practical utilization scenarios. To this end, inspired by the traditional Newton-Raphson iterative (NRI) algorithm, a modified Newton integration (MNI) algorithm is proposed with excellent noise tolerance ability. Through theoretical analyses, the proposed MNI algorithm is confirmed to retain the fast convergence property of the NRI algorithm and also possess strong noise tolerance. The numerical experiment results demonstrate that the proposed MNI algorithm has advantages in accuracy and noise tolerance compared with other algorithms.
format	article
author	Siyuan Liao Dongyang Fu Haoen Huang Chengze Jiang
author_facet	Siyuan Liao Dongyang Fu Haoen Huang Chengze Jiang
author_sort	Siyuan Liao
title	Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation
title_short	Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation
title_full	Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation
title_fullStr	Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation
title_full_unstemmed	Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation
title_sort	modified newton integration algorithm with noise tolerance for discrete algebraic matrix riccati equation
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/3cd23963acb94832a7d568d9afba45d7
work_keys_str_mv	AT siyuanliao modifiednewtonintegrationalgorithmwithnoisetolerancefordiscretealgebraicmatrixriccatiequation AT dongyangfu modifiednewtonintegrationalgorithmwithnoisetolerancefordiscretealgebraicmatrixriccatiequation AT haoenhuang modifiednewtonintegrationalgorithmwithnoisetolerancefordiscretealgebraicmatrixriccatiequation AT chengzejiang modifiednewtonintegrationalgorithmwithnoisetolerancefordiscretealgebraicmatrixriccatiequation
_version_	1718403978527506432

Modified Newton Integration Algorithm With Noise Tolerance for Discrete Algebraic Matrix Riccati Equation

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