Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical Model
The estimation of the longitudinal stability and control derivatives of aircraft mathematical model was performed using the least square method, which requires the use of numerical differentiation. For the purpose of approximating the derivatives of pitch rate, the numerical differentiation methods...
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| Format: | Article |
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Peoples’ Friendship University of Russia (RUDN University)
2024-12-01
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| Series: | RUDN Journal of Engineering Research |
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| Online Access: | https://journals.rudn.ru/engineering-researches/article/viewFile/42378/24379 |
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| author | Oleg N. Korsun Moung Htang Om Sekou Goro |
| author_facet | Oleg N. Korsun Moung Htang Om Sekou Goro |
| author_sort | Oleg N. Korsun |
| collection | DOAJ |
| description | The estimation of the longitudinal stability and control derivatives of aircraft mathematical model was performed using the least square method, which requires the use of numerical differentiation. For the purpose of approximating the derivatives of pitch rate, the numerical differentiation methods such as: forward difference method, backward difference method, central difference method, combination of three finite difference methods “gradient” and Poplavsky method are applied. Based on the results that demonstrate the advantages and disadvantages of each of these methods, two approaches are proposed to ensure the improvement of the accuracy of the parameters estimation. The approach proposed in this paper combines the results obtained by separately using three finite difference methods to enhance of the accuracy of parameter estimation. This approach strengthens efficiency and compensates for weaknesses due to the nature and properties of finite difference methods. |
| format | Article |
| id | doaj-art-d0c0285bfe1445db925c82f3e06113e3 |
| institution | Kabale University |
| issn | 2312-8143 2312-8151 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | RUDN Journal of Engineering Research |
| spelling | doaj-art-d0c0285bfe1445db925c82f3e06113e32025-01-14T08:09:51ZengPeoples’ Friendship University of Russia (RUDN University)RUDN Journal of Engineering Research2312-81432312-81512024-12-0125320321510.22363/2312-8143-2024-25-3-203-21521125Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical ModelOleg N. Korsun0https://orcid.org/0000-0003-3926-1024Moung Htang Om1https://orcid.org/0000-0002-7770-2962Sekou Goro2https://orcid.org/0000-0002-4397-9429State Scientific Research Institute of Aviation SystemsMoscow Aviation Institute (National Research University)Moscow Aviation Institute (National Research University)The estimation of the longitudinal stability and control derivatives of aircraft mathematical model was performed using the least square method, which requires the use of numerical differentiation. For the purpose of approximating the derivatives of pitch rate, the numerical differentiation methods such as: forward difference method, backward difference method, central difference method, combination of three finite difference methods “gradient” and Poplavsky method are applied. Based on the results that demonstrate the advantages and disadvantages of each of these methods, two approaches are proposed to ensure the improvement of the accuracy of the parameters estimation. The approach proposed in this paper combines the results obtained by separately using three finite difference methods to enhance of the accuracy of parameter estimation. This approach strengthens efficiency and compensates for weaknesses due to the nature and properties of finite difference methods.https://journals.rudn.ru/engineering-researches/article/viewFile/42378/24379longitudinal control derivativesparameters estimationfinite difference methodspoplavsky methodcombination of methodscombination of results |
| spellingShingle | Oleg N. Korsun Moung Htang Om Sekou Goro Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical Model RUDN Journal of Engineering Research longitudinal control derivatives parameters estimation finite difference methods poplavsky method combination of methods combination of results |
| title | Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical Model |
| title_full | Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical Model |
| title_fullStr | Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical Model |
| title_full_unstemmed | Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical Model |
| title_short | Analysis of the Effects of Numerical Differentiation Methods on the Estimation of Longitudinal Stability and Control Derivatives of the Aircraft Mathematical Model |
| title_sort | analysis of the effects of numerical differentiation methods on the estimation of longitudinal stability and control derivatives of the aircraft mathematical model |
| topic | longitudinal control derivatives parameters estimation finite difference methods poplavsky method combination of methods combination of results |
| url | https://journals.rudn.ru/engineering-researches/article/viewFile/42378/24379 |
| work_keys_str_mv | AT olegnkorsun analysisoftheeffectsofnumericaldifferentiationmethodsontheestimationoflongitudinalstabilityandcontrolderivativesoftheaircraftmathematicalmodel AT mounghtangom analysisoftheeffectsofnumericaldifferentiationmethodsontheestimationoflongitudinalstabilityandcontrolderivativesoftheaircraftmathematicalmodel AT sekougoro analysisoftheeffectsofnumericaldifferentiationmethodsontheestimationoflongitudinalstabilityandcontrolderivativesoftheaircraftmathematicalmodel |