LI Zhi-jun, WANG She-liang. ROBUST AND NON-FRAGILE H∞ CONTROL FOR BUILDINGS VIA LMI APPROACH[J]. Engineering Mechanics, 2013, 30(4): 204-210. DOI: 10.6052/j.issn.1000-4750.2011.11.0784
Citation: LI Zhi-jun, WANG She-liang. ROBUST AND NON-FRAGILE H∞ CONTROL FOR BUILDINGS VIA LMI APPROACH[J]. Engineering Mechanics, 2013, 30(4): 204-210. DOI: 10.6052/j.issn.1000-4750.2011.11.0784

ROBUST AND NON-FRAGILE H CONTROL FOR BUILDINGS VIA LMI APPROACH

  • The behavior of building structures is naturally uncertain because of the numerous uncertainties of seismic disturbances and structural parameters. In this paper, we present a new robust and non-fragile H control approach that can provide a convenient design procedure for active controllers to facilitate practical implementations of control systems through the use of a quadratic performance index and the use of an efficient solution procedure based on linear matrix inequalities (LMI). Such a new robust and non-fragile H controller for buildings can be designed to guarantee the robust stability and performance of the closed-loop system in the presence of parameter uncertainties. In view of the uncertainty of seismic disturbance and the model errors of the building structure, a three-storey shear building model containing active brace systems is analyzed. The simulation results obtained from the proposed control method are compared with those obtained from traditional H control method, which shows preliminarily that the performance of robust and non-fragile H controllers is remarkable and robust. Considering reasonable parameter values, the controller can acquire considerably better performance of robust and non-fragile than traditional H controller under the optimal response quantities. Therefore, the robust and non-fragile H control method is quite promising for practical implementations of active control systems on seismically excited linear structures.
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