延时智能波束的主动控制

I. Kucuk, I. Sadek, Y. Yilmaz
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引用次数: 1

摘要

研究了延时压电作动器对柔性梁的主动控制。提出了一个最小化问题,该问题包括找出施加在压电贴片驱动器上的控制电压,使其在指定的终端时间内以最小的控制努力抑制梁的动态响应。求解方法采用模态展开法和直接逼近法相结合的方法。采用模态展开方法将分布参数系统的最优控制问题转化为线性定常集总参数系统的最优控制问题。提出了一种直接状态控制参数化方法,利用小波求解时滞LPS。利用积分和时滞的运算矩阵,将线性时变时滞系统的解简化为代数方程的解。算例验证了该方法的适用性和有效性,结果令人满意。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Active control of smart beam with time delay
Active control of a flexible beam is investigated using time-delayed piezoelectric actuator. A minimization problem is formulated that consists of finding the control voltage applied to a piezoelectric patch actuator which suppresses the dynamic responses of the beam at a specified terminal time with least control effort. The solution method is based on a combination of modal expansion and direct approximation approaches. The modal expansion approach is used to convert the optimal control problem of distributed parameter system (DPS) into the optimal control problem of a linear time-invariant lumped parameter system (LPS). A direct state-control parametrization approach is proposed where wavelets are employed to solve time delayed LPS. The operational matrices of integration and delay are utilized to reduce the solution of linear time-varying delayed systems to the solution of algebraic equations. An illustrative example is included to demonstrate the applicability and the efficiency of the proposed method and the results are quite satisfactory.
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