In view of the numerous uncertainties of seismic disturbances and structural parameters,the irregular building structure is uncertain. In this paper, a new robust optimal H∞ controller forirregular buildings is designed to guarantee the robust stability and performance of the closed-loopsystem in the presence of parameter uncertainties. Such a control method can provide a convenientdesign procedure for active controllers to facilitate practical implementations of control systemsthrough the use of a quadratic performance index and an efficient solution procedure based on linearmatrix inequality (LMI). To verify the effectiveness of the control method, a MDOF (multipledegree-of-freedom) eccentric building structure with two active mass damper (AMD) systems onthe orthogonal direction of the top storey subjected to bi-directional ground motions is analyzed.In the simulation, the active control forces of the AMD systems are designed by the robust optimal H∞ control algorithm, and the structural system uncertainties are assumed in the system andinput matrices. The simulation results obtained from the proposed control method are comparedwith those obtained from traditional H∞ control method, which shows preliminarily that theperformance of robust optimal H∞ controllers is remarkable and robust. Therefore, the robustoptimal H∞ control method is quite promising for practical implementations of active controlsystems on seismically excited irregular buildings.
Robust optimal H-infinity control for irregular buildings with AMD via LMI approach
2014-04-10
doi:10.15388/NA.2014.2.8
Nonlinear Analysis: Modelling and Control; Vol 19 No 2 (2014): Nonlinear Analysis: Modelling and Control; 256-271 ; Nonlinear Analysis: Modelling and Control; T. 19 Nr. 2 (2014): Nonlinear Analysis: Modelling and Control; 256-271 ; 2335-8963 ; 1392-5113
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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