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Robust H¡Þ control for aseismic structures with uncertainties in model parameters

Song Gang (ËÎ ¸Õ) ¹, Lin Jiahao (ÁÖ¼ÒºÆ)¹, Zhao Yan (ÕÔÑÒ)¹, W. Paul Howson² and Fred W Williams²

<sup>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.</sup>

Abstract: This paper presents a robust H¡Þ 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¡Þ 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¡Þ controller provides satisfactory results with or without variation of the structural stiffness, damping and mass parameters.

Keywords: structural control; robust H¡Þ control; linear matrix inequality; dynamic output feedback; parameter uncertainty; seismic excitation