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

Song, G., Lin, J., Zhao, Y., Howson, William Paul and Williams, Frederic Ward 2007. Robust H ∞ control for aseismic structures with uncertainties in model parameters. Earthquake Engineering and Engineering Vibration 6 (4) , pp. 409-416. 10.1007/s11803-007-0782-7

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Uncontrolled Keywords:	Structural control ; Robust H ∞ control ; Linear matrix inequality ; Dynamic output feedback ; Parameter uncertainty ; Seismic excitation
ISSN:	1671-3664
Last Modified:	03 Feb 2020 00:57
URI:	https://orca.cardiff.ac.uk/id/eprint/8379

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