Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid
This paper presents the design of an extended parameterisations of <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> controller for off grid operation of a microgrid. The microgrid consists of distributed generation units, filter...
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2020-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/9139949/ |
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| author | Maniza Armin Mizanur Rahman Md. Mukidur Rahman Subrata K. Sarker Sajal K. Das Md. Rabiul Islam Abbas Z. Kouzani M. A. Parvez Mahmud |
| author_facet | Maniza Armin Mizanur Rahman Md. Mukidur Rahman Subrata K. Sarker Sajal K. Das Md. Rabiul Islam Abbas Z. Kouzani M. A. Parvez Mahmud |
| author_sort | Maniza Armin |
| collection | DOAJ |
| description | This paper presents the design of an extended parameterisations of <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> controller for off grid operation of a microgrid. The microgrid consists of distributed generation units, filters and local loads. The filters are used to achieve accurate sinusoidal output voltage. However, loads which are connected to the microgrid are parametrically uncertain. Hence, it undergoes with unknown loads uncertainties. These unknown loads may create unknown loads harmonics, non-linearities which may reduce the voltage and current profile of the microgrid. As a result, the sudden rise and fall of voltage current profile damages the domestic and commercial loads. The proposed controller provides robust stability against various unknown loads and uncertainties. The design of the controller is presented using linear matrix inequality approach and satisfies the Lyapunov stability criterion. Moreover, it provides lower closed-loop <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> norm and has better tracking accuracy than other. For justification, several load conditions have been tested in MATLAB/SimPowerSystem Toolbox to ensure the robust stability of the proposed controller. All the results presented in the paper indicate high performance of the controller. |
| format | Article |
| id | doaj-art-41c7eee2ab614d588e8daa39fbc904e6 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-41c7eee2ab614d588e8daa39fbc904e62025-08-22T23:13:07ZengIEEEIEEE Access2169-35362020-01-01813588313589610.1109/ACCESS.2020.30091889139949Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded MicrogridManiza Armin0https://orcid.org/0000-0002-4332-1731Mizanur Rahman1https://orcid.org/0000-0001-8464-656XMd. Mukidur Rahman2Subrata K. Sarker3https://orcid.org/0000-0001-6077-8031Sajal K. Das4https://orcid.org/0000-0002-0596-4816Md. Rabiul Islam5Abbas Z. Kouzani6M. A. Parvez Mahmud7Department of Mechatronics Engineering, Rajshahi University of Engineering & Technology, Rajshahi, BangladeshDepartment of Mechatronics Engineering, Rajshahi University of Engineering & Technology, Rajshahi, BangladeshDepartment of Mechatronics Engineering, Rajshahi University of Engineering & Technology, Rajshahi, BangladeshDepartment of Electrical and Electronic Engineering, Varendra University, Rajshahi, BangladeshDepartment of Mechatronics Engineering, Rajshahi University of Engineering & Technology, Rajshahi, BangladeshFaculty of Engineering and Information Sciences, University of Wollongong, Wollongong, NSW, AustraliaSchool of Engineering, Deakin University, Geelong, VIC, AustraliaSchool of Engineering, Deakin University, Geelong, VIC, AustraliaThis paper presents the design of an extended parameterisations of <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> controller for off grid operation of a microgrid. The microgrid consists of distributed generation units, filters and local loads. The filters are used to achieve accurate sinusoidal output voltage. However, loads which are connected to the microgrid are parametrically uncertain. Hence, it undergoes with unknown loads uncertainties. These unknown loads may create unknown loads harmonics, non-linearities which may reduce the voltage and current profile of the microgrid. As a result, the sudden rise and fall of voltage current profile damages the domestic and commercial loads. The proposed controller provides robust stability against various unknown loads and uncertainties. The design of the controller is presented using linear matrix inequality approach and satisfies the Lyapunov stability criterion. Moreover, it provides lower closed-loop <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> norm and has better tracking accuracy than other. For justification, several load conditions have been tested in MATLAB/SimPowerSystem Toolbox to ensure the robust stability of the proposed controller. All the results presented in the paper indicate high performance of the controller.https://ieeexplore.ieee.org/document/9139949/Microgridvoltage controlLMI<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ controller |
| spellingShingle | Maniza Armin Mizanur Rahman Md. Mukidur Rahman Subrata K. Sarker Sajal K. Das Md. Rabiul Islam Abbas Z. Kouzani M. A. Parvez Mahmud Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid IEEE Access Microgrid voltage control LMI <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ controller |
| title | Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid |
| title_full | Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid |
| title_fullStr | Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid |
| title_full_unstemmed | Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid |
| title_short | Robust Extended <italic>H<sub>∞</sub></italic> Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid |
| title_sort | robust extended italic h sub x221e sub italic control strategy using linear matrix inequality approach for islanded microgrid |
| topic | Microgrid voltage control LMI <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ controller |
| url | https://ieeexplore.ieee.org/document/9139949/ |
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