Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis
To validate the robust stability of the flight control system of hypersonic flight vehicle, which suffers from a large number of parametrical uncertainties, a new clearance framework based on structural singular value (μ) theory and global uncertainty sensitivity analysis (SA) is proposed. In this f...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/153602 |
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| _version_ | 1849306410264821760 |
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| author | Liuli Ou Lei Liu Shuai Dong Yongji Wang |
| author_facet | Liuli Ou Lei Liu Shuai Dong Yongji Wang |
| author_sort | Liuli Ou |
| collection | DOAJ |
| description | To validate the robust stability of the flight control system of hypersonic flight vehicle, which suffers from a large number of parametrical uncertainties, a new clearance framework based on structural singular value (μ) theory and global uncertainty sensitivity analysis (SA) is proposed. In this framework, SA serves as the preprocess of uncertain model to be analysed to help engineers to determine which uncertainties affect the stability of the closed loop system more slightly. By ignoring these unimportant uncertainties, the calculation of μ can be simplified. Instead of analysing the effect of uncertainties on μ which involves solving optimal problems repeatedly, a simpler stability analysis function which represents the effect of uncertainties on closed loop poles is proposed. Based on this stability analysis function, Sobol’s method, the most widely used global SA method, is extended and applied to the new clearance framework due to its suitability for system with strong nonlinearity and input factors varying in large interval, as well as input factors subjecting to random distributions. In this method, the sensitive indices can be estimated via Monte Carlo simulation conveniently. An example is given to illustrate the efficiency of the proposed method. |
| format | Article |
| id | doaj-art-34b136ce1dfd4078935418ded09bbb74 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-34b136ce1dfd4078935418ded09bbb742025-08-20T03:55:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/153602153602Robust Stability Clearance of Flight Control Law Based on Global Sensitivity AnalysisLiuli Ou0Lei Liu1Shuai Dong2Yongji Wang3Key Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, ChinaKey Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, ChinaKey Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, ChinaKey Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, ChinaTo validate the robust stability of the flight control system of hypersonic flight vehicle, which suffers from a large number of parametrical uncertainties, a new clearance framework based on structural singular value (μ) theory and global uncertainty sensitivity analysis (SA) is proposed. In this framework, SA serves as the preprocess of uncertain model to be analysed to help engineers to determine which uncertainties affect the stability of the closed loop system more slightly. By ignoring these unimportant uncertainties, the calculation of μ can be simplified. Instead of analysing the effect of uncertainties on μ which involves solving optimal problems repeatedly, a simpler stability analysis function which represents the effect of uncertainties on closed loop poles is proposed. Based on this stability analysis function, Sobol’s method, the most widely used global SA method, is extended and applied to the new clearance framework due to its suitability for system with strong nonlinearity and input factors varying in large interval, as well as input factors subjecting to random distributions. In this method, the sensitive indices can be estimated via Monte Carlo simulation conveniently. An example is given to illustrate the efficiency of the proposed method.http://dx.doi.org/10.1155/2014/153602 |
| spellingShingle | Liuli Ou Lei Liu Shuai Dong Yongji Wang Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis Journal of Applied Mathematics |
| title | Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis |
| title_full | Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis |
| title_fullStr | Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis |
| title_full_unstemmed | Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis |
| title_short | Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis |
| title_sort | robust stability clearance of flight control law based on global sensitivity analysis |
| url | http://dx.doi.org/10.1155/2014/153602 |
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