A New Fuzzy Robust Control for Linear Parameter-Varying Systems
The linear parameter-varying (LPV) models have broad applications in advanced mathematics and modern control systems. This paper introduces a new method for controlling the LPV systems. This method includes the gain-scheduled state-feedback technique and a fuzzy system to calculate the state-feedbac...
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| Format: | Article |
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/18/3319 |
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| author | Fenghua Chen Xinguo Qiu Khalid A. Alattas Ardashir Mohammadzadeh Ebrahim Ghaderpour |
| author_facet | Fenghua Chen Xinguo Qiu Khalid A. Alattas Ardashir Mohammadzadeh Ebrahim Ghaderpour |
| author_sort | Fenghua Chen |
| collection | DOAJ |
| description | The linear parameter-varying (LPV) models have broad applications in advanced mathematics and modern control systems. This paper introduces a new method for controlling the LPV systems. This method includes the gain-scheduled state-feedback technique and a fuzzy system to calculate the state-feedback gain. The main goal of the control system is to stabilize the system and bring its states to equilibrium points. Linear matrix inequalities calculate feedback gains to stabilize the system. On the other hand, a fuzzy control system also produces a combined signal with the primary controller signal to speed up this operation. Lyapunov’s theory is used to guarantee the control system’s stability. Finally, to evaluate the performance of the proposed control system, the inverted pendulum has been investigated as a case study. The results show that the proposed method has good efficiency and performance. |
| first_indexed | 2024-03-09T23:15:18Z |
| format | Article |
| id | doaj.art-197cd9d829c844dbaec8a91763ac0c09 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:15:18Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-197cd9d829c844dbaec8a91763ac0c092023-11-23T17:36:34ZengMDPI AGMathematics2227-73902022-09-011018331910.3390/math10183319A New Fuzzy Robust Control for Linear Parameter-Varying SystemsFenghua Chen0Xinguo Qiu1Khalid A. Alattas2Ardashir Mohammadzadeh3Ebrahim Ghaderpour4School of Intelligent Manufacturing, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang 322100, ChinaKey Laboratory of Special Equipment Manufacturing and Advanced Processing Technology of Ministry of Education, Zhejiang University of Technology, Hangzhou 310014, ChinaDepartment of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23890, Saudi ArabiaMultidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology, Shenyang 110870, ChinaDepartment of Earth Sciences, Sapienza University of Rome, Piazzale Aldo-Moro, 5, 00185 Rome, ItalyThe linear parameter-varying (LPV) models have broad applications in advanced mathematics and modern control systems. This paper introduces a new method for controlling the LPV systems. This method includes the gain-scheduled state-feedback technique and a fuzzy system to calculate the state-feedback gain. The main goal of the control system is to stabilize the system and bring its states to equilibrium points. Linear matrix inequalities calculate feedback gains to stabilize the system. On the other hand, a fuzzy control system also produces a combined signal with the primary controller signal to speed up this operation. Lyapunov’s theory is used to guarantee the control system’s stability. Finally, to evaluate the performance of the proposed control system, the inverted pendulum has been investigated as a case study. The results show that the proposed method has good efficiency and performance.https://www.mdpi.com/2227-7390/10/18/3319robust controlfuzzy systemlinear parameter-varying systemslinear matrix inequalitiesinverted pendulum |
| spellingShingle | Fenghua Chen Xinguo Qiu Khalid A. Alattas Ardashir Mohammadzadeh Ebrahim Ghaderpour A New Fuzzy Robust Control for Linear Parameter-Varying Systems Mathematics robust control fuzzy system linear parameter-varying systems linear matrix inequalities inverted pendulum |
| title | A New Fuzzy Robust Control for Linear Parameter-Varying Systems |
| title_full | A New Fuzzy Robust Control for Linear Parameter-Varying Systems |
| title_fullStr | A New Fuzzy Robust Control for Linear Parameter-Varying Systems |
| title_full_unstemmed | A New Fuzzy Robust Control for Linear Parameter-Varying Systems |
| title_short | A New Fuzzy Robust Control for Linear Parameter-Varying Systems |
| title_sort | new fuzzy robust control for linear parameter varying systems |
| topic | robust control fuzzy system linear parameter-varying systems linear matrix inequalities inverted pendulum |
| url | https://www.mdpi.com/2227-7390/10/18/3319 |
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