A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties
High-rise buildings with an active mass damper/driver (AMD) system generally use a simplified mathematical model. The result leads to parametric uncertainties including the stiffness and mass variations exist, and the accuracy of its controller is seriously affected. In view of the above uncertainti...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/3678258 |
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| _version_ | 1832549129118547968 |
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| author | Zuohua Li Chaojun Chen Jun Teng Junkai Dong Beichun Lin |
| author_facet | Zuohua Li Chaojun Chen Jun Teng Junkai Dong Beichun Lin |
| author_sort | Zuohua Li |
| collection | DOAJ |
| description | High-rise buildings with an active mass damper/driver (AMD) system generally use a simplified mathematical model. The result leads to parametric uncertainties including the stiffness and mass variations exist, and the accuracy of its controller is seriously affected. In view of the above uncertainties, based on a Lyapunov stability theory and linear matrix inequality (LMI) approach, a state feedback controller based on the guaranteed cost control (GCC) algorithm is proposed in this paper. A ten-storey frame with an AMD system is taken as a numerical example, and its control effect and AMD parameters are viewed as the control indexes. The performance of the proposed robust controller is compared with a conventional controller based on the classical LQR algorithm. The analysis results show that the new controller effectively suppresses the dynamic responses of high-rise buildings with parametric uncertainties and keeps the AMD parameters stable. Finally, a four-storey steel experimental frame with an AMD system is used to verify the correctness of the conclusions. |
| format | Article |
| id | doaj-art-dfade0d215aa4a56903944827822fab0 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-dfade0d215aa4a56903944827822fab02025-02-03T06:12:11ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/36782583678258A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric UncertaintiesZuohua Li0Chaojun Chen1Jun Teng2Junkai Dong3Beichun Lin4School of Civil and Environmental Engineering, Harbin Institute of Technology Shenzhen, Shenzhen 518055, ChinaSchool of Civil and Environmental Engineering, Harbin Institute of Technology Shenzhen, Shenzhen 518055, ChinaSchool of Civil and Environmental Engineering, Harbin Institute of Technology Shenzhen, Shenzhen 518055, ChinaSchool of Civil and Environmental Engineering, Harbin Institute of Technology Shenzhen, Shenzhen 518055, ChinaShenzhen Baoan Drainage Co., Ltd, Shenzhen, ChinaHigh-rise buildings with an active mass damper/driver (AMD) system generally use a simplified mathematical model. The result leads to parametric uncertainties including the stiffness and mass variations exist, and the accuracy of its controller is seriously affected. In view of the above uncertainties, based on a Lyapunov stability theory and linear matrix inequality (LMI) approach, a state feedback controller based on the guaranteed cost control (GCC) algorithm is proposed in this paper. A ten-storey frame with an AMD system is taken as a numerical example, and its control effect and AMD parameters are viewed as the control indexes. The performance of the proposed robust controller is compared with a conventional controller based on the classical LQR algorithm. The analysis results show that the new controller effectively suppresses the dynamic responses of high-rise buildings with parametric uncertainties and keeps the AMD parameters stable. Finally, a four-storey steel experimental frame with an AMD system is used to verify the correctness of the conclusions.http://dx.doi.org/10.1155/2019/3678258 |
| spellingShingle | Zuohua Li Chaojun Chen Jun Teng Junkai Dong Beichun Lin A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties Shock and Vibration |
| title | A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties |
| title_full | A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties |
| title_fullStr | A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties |
| title_full_unstemmed | A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties |
| title_short | A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties |
| title_sort | state feedback controller based on gcc algorithm against wind induced motion for high rise buildings with parametric uncertainties |
| url | http://dx.doi.org/10.1155/2019/3678258 |
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