Intelligent Vibration Control of Composite Beam

研究了智能控制方法在CFRP复合梁振动控制中的应用。所得结果总结如下：(1)制备了含有交错电流变液（ERF）和粘结压电陶瓷的碳纤维增强塑料（CFRP）梁，并在强制正弦外部激励下振荡。由于ERF作动器存在强烈的非线性，形成了包含两个作动器的被控元件的模糊模型。采用神经-模糊混合系统对模糊模型参数进行辨识。(2)在模糊模型的基础上，采用最优调节方法和并行色散补偿思想，设计了复合梁的模糊抑制控制器。通过试错法对控制系统的稳定性进行了分析。通过仿真和实验验证了振动控制系统满足稳定条件的效果。(3)利用Lyapunov稳定性理论推导出满足稳定性条件的线性矩阵不等式（LMI）。通过求解LMI，使控制系统的稳定性分析变得简单易行，无需反复试验。

The application of intelligent control method to vibration control of a composite CFRP beam was investigated. The results obtained are summarized as follows ;(1) A carbon fiber reinforced plastics (CFRP) beam including interleaved electro-rheological fluids (ERF) and bonded piezoceramics was prepared and oscillated under the forced sinusoidal external excitations. Fuzzy model of controlled element containing two actuators was formed because of intensive nonlinearity in ERF actuator. Parameters of fuzzy model were identified by using a hybrid neuro-fuzzy system.(2) Fuzzy controller for vibration suppression of the composite beam was designed based on the fuzzy model by using the optimum regulator method and the idea of parallel dispersive compensation. The stability of the control system was analyzed with trial and error. The effect of vibration control system satisfying the stability conditions was verified by simulation and experiments.(3) Linear matrix inequalities (LMI) satisfying the stability conditions were derived by the use of Lyapunov's stability theory. The stability analysis of the control system became practicable easily without trial and error by solving the LMI.