| Robust H∞ control for aseismic structures with uncertainties in model parameters |
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| 引用本文： | 宋刚,林家浩,赵岩. Robust H∞ control for aseismic structures with uncertainties in model parameters[J]. 地震工程与工程振动(英文版), 2007, 6(4): 409-416. DOI: 10.1007/s11803-007-0782-7 |
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| 作者姓名： | 宋刚 林家浩 赵岩 |
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| 作者单位： | State Key Laboratory of Structural Analysis for Industrial Equipment Faculty of Vehicle Engineering and Mechanics Dalian University of Technology，State Key Laboratory of Structural Analysis for Industrial Equipment Faculty of Vehicle Engineering and Mechanics Dalian University of Technology，State Key Laboratory of Structural Analysis for Industrial Equipment Faculty of Vehicle Engineering and Mechanics Dalian University of Technology，Cardiff School of Engineering Cardiff University Cardiff CF24 3AA Wales U.K.，Cardiff School of Engineering Cardiff University Cardiff CF24 3AA Wales U.K.，Dalian 116023 China，Dalian 116023 China，Dalian 116023 China |
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| 基金项目： | National Natural Science Foundation of China Under Grant No. 50608012 and No.10472023，The Cardiff Advanced Chinese Engineering Centre |
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| 摘 要： | This paper presents a robust H∞ output feedback control approach for structural systems with uncertainties in model parameters by using available acceleration measurements and proposes conditions for the existence of such a robust output feedback controller. The uncertainties of structural stiffness, damping and mass parameters are assumed to be norm-bounded. The proposed control approach is formulated within the framework of linear matrix inequalities, for which existing convex optimization techniques, such as the LMI toolbox in MATLAB, can be used effectively and conveniently. To illustrate the effectiveness of the proposed robust H∞ strategy, a six-story building was subjected both to the 1940 El Centro earthquake record and to a suddenly applied Kanai-Tajimi filtered white noise random excitation. The results show that the proposed robust H∞ controller provides satisfactory results with or without variation of the structural stiffness, damping and mass parameters.
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| 关 键 词： | structural control robust H∞ control linear matrix inequality dynamic output feedback parameter uncertainty seismic excitation |
| 收稿时间： | 2007-10-04 |
| 修稿时间： | 2007-10-31 |
Robust H∞ control for aseismic structures with uncertainties in model parameters |
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| Song Gang,Lin Jiahao,Zhao Yan,W. Paul Howson,Fred W. Williams. Robust H∞ control for aseismic structures with uncertainties in model parameters[J]. Earthquake Engineering and Engineering Vibration, 2007, 6(4): 409-416. DOI: 10.1007/s11803-007-0782-7 |
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| Authors: | Song Gang Lin Jiahao Zhao Yan W. Paul Howson Fred W. Williams |
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| Affiliation: | [1]State Key Laboratory of Structural Analysis for Industrial Equipment, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China [2]Cardiff School of Engineering, Cardiff University, Cardiff CF24 3AA, Wales, U.K. |
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| Abstract: | This paper presents a robust H ∞ output feedback control approach for structural systems with uncertainties in model parameters by using available acceleration measurements and proposes conditions for the existence of such a robust output feedback controller. The uncertainties of structural stiffness, damping and mass parameters are assumed to be norm-bounded. The proposed control approach is formulated within the framework of linear matrix inequalities, for which existing convex optimization techniques, such as the LMI toolbox in MATLAB, can be used effectively and conveniently. To illustrate the effectiveness of the proposed robust H ∞ strategy, a six-story building was subjected both to the 1940 El Centro earthquake record and to a suddenly applied Kanai-Tajimi filtered white noise random excitation. The results show that the proposed robust H ∞ controller provides satisfactory results with or without variation of the structural stiffness, damping and mass parameters. Supported by: National Natural Science Foundation of China Under Grant No. 50608012 and No. 10472023; The Cardiff Advanced Chinese Engineering Centre |
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| Keywords: | structural control robust H ∞ control linear matrix inequality dynamic output feedback parameter uncertainty seismic excitation |
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