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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Main Authors: Atheer Jawad Kadhim, Raghad Kadhim Salih
Format: Article
Language:English
Published: Unviversity of Technology- Iraq 2010-03-01
Series:Engineering and Technology Journal
Subjects:
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.
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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