Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control Systems
The paper presents a proposed method with new algorithms written inMatlab language to find the numerical solution of nth order state-space equations(SSE's) of nonlinear continuous-time control system using Hûta method. The statespaceequation is the modern representation to analysis linear and n...
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Format: | Article |
Language: | English |
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Unviversity of Technology- Iraq
2010-03-01
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Series: | Engineering and Technology Journal |
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Online Access: | https://etj.uotechnology.edu.iq/article_27181_3f95e1c79bbe33906ad4869e7e6e0e2f.pdf |
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author | Atheer Jawad Kadhim Raghad Kadhim Salih |
author_facet | Atheer Jawad Kadhim Raghad Kadhim Salih |
author_sort | Atheer Jawad Kadhim |
collection | DOAJ |
description | The paper presents a proposed method with new algorithms written inMatlab language to find the numerical solution of nth order state-space equations(SSE's) of nonlinear continuous-time control system using Hûta method. The statespaceequation is the modern representation to analysis linear and nonlinearcontinuous time invariant and time varying system. It was treated numerically tothe single-input-single-output (SISO) time invariant and time varying systems aswell as multiple-input-multiple-output (MIMO) time invariant and time varyingsystems by using sixth-order-eight-stage Hûta method. We show that it is possibleto find the output values of nonlinear state-space model using Hûta method.Finally, comparison between the numerical and exact results has been given withillustrative figures for some test examples for solving different types of nonlinearstate-space equations using Hûta method for conciliated the accuracy of the resultsof the proposed method. |
first_indexed | 2024-03-08T06:08:36Z |
format | Article |
id | doaj.art-782dbb3621074961a782e52d0ca38536 |
institution | Directory Open Access Journal |
issn | 1681-6900 2412-0758 |
language | English |
last_indexed | 2024-03-08T06:08:36Z |
publishDate | 2010-03-01 |
publisher | Unviversity of Technology- Iraq |
record_format | Article |
series | Engineering and Technology Journal |
spelling | doaj.art-782dbb3621074961a782e52d0ca385362024-02-04T17:45:14ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582010-03-012861144115910.30684/etj.28.6.927181Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control SystemsAtheer Jawad KadhimRaghad Kadhim SalihThe paper presents a proposed method with new algorithms written inMatlab language to find the numerical solution of nth order state-space equations(SSE's) of nonlinear continuous-time control system using Hûta method. The statespaceequation is the modern representation to analysis linear and nonlinearcontinuous time invariant and time varying system. It was treated numerically tothe single-input-single-output (SISO) time invariant and time varying systems aswell as multiple-input-multiple-output (MIMO) time invariant and time varyingsystems by using sixth-order-eight-stage Hûta method. We show that it is possibleto find the output values of nonlinear state-space model using Hûta method.Finally, comparison between the numerical and exact results has been given withillustrative figures for some test examples for solving different types of nonlinearstate-space equations using Hûta method for conciliated the accuracy of the resultsof the proposed method.https://etj.uotechnology.edu.iq/article_27181_3f95e1c79bbe33906ad4869e7e6e0e2f.pdfstatespace equationta methodnonlinear control system and algorithms |
spellingShingle | Atheer Jawad Kadhim Raghad Kadhim Salih Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control Systems Engineering and Technology Journal state space equation ta method nonlinear control system and algorithms |
title | Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control Systems |
title_full | Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control Systems |
title_fullStr | Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control Systems |
title_full_unstemmed | Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control Systems |
title_short | Hûta Method for Solving nth Order State-Space Equations of Nonlinear Continuous-Time Control Systems |
title_sort | huta method for solving nth order state space equations of nonlinear continuous time control systems |
topic | state space equation ta method nonlinear control system and algorithms |
url | https://etj.uotechnology.edu.iq/article_27181_3f95e1c79bbe33906ad4869e7e6e0e2f.pdf |
work_keys_str_mv | AT atheerjawadkadhim hutamethodforsolvingnthorderstatespaceequationsofnonlinearcontinuoustimecontrolsystems AT raghadkadhimsalih hutamethodforsolvingnthorderstatespaceequationsofnonlinearcontinuoustimecontrolsystems |