Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance Realization
This paper discusses the problem of designing smooth switching control based on the coprime factorization method. Aiming at the instantaneous chattering phenomenon generated by the linear parameter varying (LPV) controller during the switching moment, the moving region of the gain-scheduling variabl...
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2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9507476/ |
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doaj-324191a588de4d8286b0828d8e6d942f2021-09-20T23:00:17ZengIEEEIEEE Access2169-35362021-01-01911786011786710.1109/ACCESS.2021.31027339507476Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance RealizationWeilin Wu0Wei Xie1https://orcid.org/0000-0002-7840-5652Toshio Eisaka2Liejun Li3College of Electronic Information, Guangxi University for Nationalities, Nanning, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou, ChinaDivision of Information and Communication Engineering, Kitami Institute of Technology, Kitami, JapanSchool of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, ChinaThis paper discusses the problem of designing smooth switching control based on the coprime factorization method. Aiming at the instantaneous chattering phenomenon generated by the linear parameter varying (LPV) controller during the switching moment, the moving region of the gain-scheduling variables is divided into a specified number of local subregions with overlapped region. Riccati inequality is used to solve the central controller for <inline-formula> <tex-math notation="LaTeX">$H_{\infty} $ </tex-math></inline-formula> performance. The Youla free parameters are designed using the coprime factorization for each parameter sub-region by considering the system’s global and local performance requirements. Youla free parameter switching is used to improve the smoothness of switching and suppress transient response disturbance. Finally, the effectiveness of the method is verified by a simulation example.https://ieeexplore.ieee.org/document/9507476/Smooth switch controllinear parameter varying<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> performance realizationcoprime factorization |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Weilin Wu Wei Xie Toshio Eisaka Liejun Li |
| spellingShingle |
Weilin Wu Wei Xie Toshio Eisaka Liejun Li Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance Realization IEEE Access Smooth switch control linear parameter varying <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> performance realization coprime factorization |
| author_facet |
Weilin Wu Wei Xie Toshio Eisaka Liejun Li |
| author_sort |
Weilin Wu |
| title |
Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance Realization |
| title_short |
Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance Realization |
| title_full |
Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance Realization |
| title_fullStr |
Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance Realization |
| title_full_unstemmed |
Design of Smooth Switching LPV Controller Based on Coprime Factorization and <italic>H∞</italic> Performance Realization |
| title_sort |
design of smooth switching lpv controller based on coprime factorization and <italic>h∞</italic> performance realization |
| publisher |
IEEE |
| series |
IEEE Access |
| issn |
2169-3536 |
| publishDate |
2021-01-01 |
| description |
This paper discusses the problem of designing smooth switching control based on the coprime factorization method. Aiming at the instantaneous chattering phenomenon generated by the linear parameter varying (LPV) controller during the switching moment, the moving region of the gain-scheduling variables is divided into a specified number of local subregions with overlapped region. Riccati inequality is used to solve the central controller for <inline-formula> <tex-math notation="LaTeX">$H_{\infty} $ </tex-math></inline-formula> performance. The Youla free parameters are designed using the coprime factorization for each parameter sub-region by considering the system’s global and local performance requirements. Youla free parameter switching is used to improve the smoothness of switching and suppress transient response disturbance. Finally, the effectiveness of the method is verified by a simulation example. |
| topic |
Smooth switch control linear parameter varying <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> performance realization coprime factorization |
| url |
https://ieeexplore.ieee.org/document/9507476/ |
| work_keys_str_mv |
AT weilinwu designofsmoothswitchinglpvcontrollerbasedoncoprimefactorizationanditalichx221eitalicperformancerealization AT weixie designofsmoothswitchinglpvcontrollerbasedoncoprimefactorizationanditalichx221eitalicperformancerealization AT toshioeisaka designofsmoothswitchinglpvcontrollerbasedoncoprimefactorizationanditalichx221eitalicperformancerealization AT liejunli designofsmoothswitchinglpvcontrollerbasedoncoprimefactorizationanditalichx221eitalicperformancerealization |
| _version_ |
1717373875539410944 |