Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model
This paper studies the application of frequency distributed model for finite time control of a fractional order nonlinear hydroturbine governing system (HGS). Firstly, the mathematical model of HGS with external random disturbances is introduced. Secondly, a novel terminal sliding surface is propose...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/7345325 |
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| _version_ | 1832561541952569344 |
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| author | Bin Wang Lin Yin Shaojie Wang Shirui Miao Tantan Du Chao Zuo |
| author_facet | Bin Wang Lin Yin Shaojie Wang Shirui Miao Tantan Du Chao Zuo |
| author_sort | Bin Wang |
| collection | DOAJ |
| description | This paper studies the application of frequency distributed model for finite time control of a fractional order nonlinear hydroturbine governing system (HGS). Firstly, the mathematical model of HGS with external random disturbances is introduced. Secondly, a novel terminal sliding surface is proposed and its stability to origin is proved based on the frequency distributed model and Lyapunov stability theory. Furthermore, based on finite time stability and sliding mode control theory, a robust control law to ensure the occurrence of the sliding motion in a finite time is designed for stabilization of the fractional order HGS. Finally, simulation results show the effectiveness and robustness of the proposed scheme. |
| format | Article |
| id | doaj-art-05bf294274ae483bb7be6dcd4db59653 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-05bf294274ae483bb7be6dcd4db596532025-02-03T01:24:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/73453257345325Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed ModelBin Wang0Lin Yin1Shaojie Wang2Shirui Miao3Tantan Du4Chao Zuo5Department of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, ChinaThis paper studies the application of frequency distributed model for finite time control of a fractional order nonlinear hydroturbine governing system (HGS). Firstly, the mathematical model of HGS with external random disturbances is introduced. Secondly, a novel terminal sliding surface is proposed and its stability to origin is proved based on the frequency distributed model and Lyapunov stability theory. Furthermore, based on finite time stability and sliding mode control theory, a robust control law to ensure the occurrence of the sliding motion in a finite time is designed for stabilization of the fractional order HGS. Finally, simulation results show the effectiveness and robustness of the proposed scheme.http://dx.doi.org/10.1155/2016/7345325 |
| spellingShingle | Bin Wang Lin Yin Shaojie Wang Shirui Miao Tantan Du Chao Zuo Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model Advances in Mathematical Physics |
| title | Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model |
| title_full | Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model |
| title_fullStr | Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model |
| title_full_unstemmed | Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model |
| title_short | Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model |
| title_sort | finite time control for fractional order nonlinear hydroturbine governing system via frequency distributed model |
| url | http://dx.doi.org/10.1155/2016/7345325 |
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