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Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators

机译:基于LMI的最优状态反馈控制器,具有饱和致动器的LMI最优状态反馈控制器的扰动衰减

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This paper is concerned with the design of linear matrix inequalities (LMIs) based optimal state-feedback controller design for seismically excited asymmetric structures (AS) having stiffness irregularities. The system is modelled in terms of mass, natural frequencies, damping ratio and eccentricities to easily obtain torsionally flexible (TF) model. A one storey, two-way asymmetric structural system is used to illustrate the effectiveness of the approach through simulations. The modelled system has bi-lateral and rotational degrees of freedom. Frequency responses show the effectiveness of proposed controller by means of a decrease in the peak values of translation at each resonance frequency. Moreover, the time domain simulation results, acquired by using real time-history data of San Francisco and El Centro Earthquakes also show that proposed controller is very effective in reducing vibration amplitudes of each direction by applicable control signals and guaranteeing the stability of the closed loop system.
机译:本文关注的是基于最佳状态反馈控制器的设计对于具有刚性的凹凸地震激励非对称结构(AS)线性矩阵不等式的设计。该系统在质量,固有频率,阻尼比和偏心率方面建模以容易地获得扭转弹性(TF)模型。一个一个楼层,双向不对称结构系统是用来说明通过模拟的方法的有效性。所建模的系统具有双横向和旋转自由度。频率响应示出了控制器的通过在每个谐振频率中的翻译的峰值降低的手段的有效性。此外,时域仿真结果,通过使用旧金山和埃尔森特罗地震的实时历史数据获取也表明,该控制器是非常有效地减少由适用的控制信号中的每个方向上的振动幅度和保证闭环的稳定性系统。

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