Robust H∞ control for aseismic structures with uncertainties in model parameters

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...

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Bibliographic Details
Published in:Earthquake Engineering and Engineering Vibration 2007-12, Vol.6 (4), p.409-416
Main Author: 宋刚 林家浩 赵岩 W. Paul Howson Fred W Williams
Format: Article
Language:English
Subjects:
Damping
Earthquakes
Feedback
Seismic activity
Seismic engineering
动力输出反馈
地震学
线性矩阵不等式
结构性控制
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Summary: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 LM1 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 E1 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.
ISSN:1671-3664
1993-503X
DOI:10.1007/s11803-007-0782-7