AUTHORS: Karima Chaker, Abdelkrim Moussaoui, Badreddine Sbartai
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ABSTRACT: Robust active controllers, designed to seismic excited building structure facing to parametric uncertainties (variations in mass, stiffness, damping coefficients…etc) were studied these last years with recent focus to non parametric ones (time delay, actuator saturation…etc). This study presents an evaluation of the robustness to variations in the model parameters of a three floors seismic exited structure (stiffness and damping coefficients) and modelling errors in the actuator dynamics of a robust controller designed on the base of the μ-synthesis approach chosen for its ability to directly incorporate performance and robustness objectives into multivariable control design. To further check the controller designed, we perform simulations using state feedback control and a seismic excitation source modelled by Kanai Tajimi filter attacked by a white noise. The resulting controller achieves closely similar performances (level of vibrations attenuation) in nominal and worst case of uncertainties variation while accounting for actuator limit and sensor noise considerations and presents a great benefit of costing low energy. At last, as the μ-synthesis generates controllers with too high order, a balanced realization method has been used to reduce the designed controller order without degrading its performance.
KEYWORDS: Robust active control, Seismic excited building, μ-Synthesis, Structured uncertainties
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