基于同位加速度传感/压电驱动的反馈方法,对用扬声器进行声激励的四面固支铝板开展多模态振动主动控制研究。根据实验模态分析的结果,确定了传感和驱动的位置。经过压电片传感/压电片驱动和加速度传感/压电片驱动两种方案的对比,选择了能观性和能控性较好的加速度传感方式。在正位置反馈控制律(positive position feedback,简称PPF)的基础上,以加速度信号进行反馈控制律的设计,提出基于加速度负反馈控制方案(negative acceleration feedback,简称NAF),并对其进行稳定性和控制机理分析。控制时以加速度信号作为评价指标,对64和158Hz两个模态分别进行单模态和多模态控制。结果表明,基于加速度的反馈控制可以大幅度降低铝板的振动,最大控制效果可达11dB,远大于PPF的控制效果,对单模态和多模态均能实现有效的振动控制。
The primary resonance of a single-degree-of-freedom(SDOF)system subjected to a harmonic excitation is mitigated by the method of optimal time-delay feedback control.The stable regions of the time delays and feedback gains are obtained from the stable conditions of eigenvalue equation.Attenuation ratio is applied for evaluating the performance of the vibration control by taking aproportion of peak amplitude of primary resonance for the suspension system with or without controllers.Taking the attenuation ratio as the objective function and the stable regions of the time delays and feedback gains as constrains,the optimal feedback gains are determined by using minimum optimal method.Finally,simulation examples are also presented.
The robust control problem for a class of uncertain switched fuzzy systems with delays is investigated. Firstly,the model of the switched fuzzy system is presented and the parallel distributed compensation( PDC) technology is employed to design fuzzy controllers. Then, based on the convex combination method, a sufficient condition for robust stabilization in terms of linear matrix inequalities( LMIs) is obtained and a switching law is presented.Meanwhile,the Lyapunov-Krasovskii functional is taken to deal with time varying delays. Moreover,an algorithm is applied to finding a solution for a group of convex combination coefficient. Finally,a numerical example is given to demonstrate the effectiveness of the proposed method.
