Optimal vibration control of beams subjected to a mass moving at constant speed
Optimal vibration control of beams subjected to a mass moving at constant speed
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DOI：
10.1177/1077546314561814
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发表时间：
2016-08
影响因子：
2.8
通讯作者：
D. Stancioiu;H. Ouyang
中科院分区：
文献类型：
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作者：
D. Stancioiu;H. Ouyang
本文研究移动质量激励下梁振动的最优控制问题。这项工作的一个重要背景是车辆-桥梁相互作用。由于这是一个时变系统，一些适用于时不变系统的方法并不总是有效的，并且在应用时会导致次优解。在这个特殊的振动问题中，运动质量离开梁的终端时刻和作为激励源的运动质量是已知的。这种特殊性使得这个问题可以用一种非常简单的方式表示为一个固定的终端时间最优控制问题。在本文中的控制解决方案的实际实施的局限性进行了讨论，在不同的性能指标和驱动策略。通过使用几种控制方法（时不变的，时变的有或没有限制的控制力）所获得的数值结果进行了分析和比较。它示出，对于特定的致动器的位置，使用时变控制策略，而不是时不变的策略是必要的。本文提出的增广形式的系统方程的方法，以较低的成本比传统的时间相关的Riccati方程的方法产生准确的结果。该方法可望应用于其它较复杂时变系统的振动最优控制。
This paper studies the optimal control of vibration of a beam excited by a moving mass. One important background of this work is vehicle-bridge interaction. As this is a time-varying system, some methods suitable for time-invariant systems are not always effective and will lead to suboptimal solutions when applied. In this particular vibration problem, the terminal time instant when the moving mass leaves the beam and the moving mass as the source of excitation are known. This particularity allows this problem to be expressed in a very simple way as a fixed terminal-time optimal control problem. In this paper the limitations of the practical implementation of the control solution are discussed in relation to different performance indices and actuation strategies. Numerical results obtained by using several control methods (time-invariant, time-variant with or without bounds on the control force) are analyzed and compared. It is shown that for particular actuator locations the use of time-varying control strategy instead of a time invariant strategy is necessary. The approach of formulating the system equation in an augmented form put forward in this paper is shown to yield accurate results at lower cost than the conventional time-dependent Riccati equation method. This approach is expected to be applicable to optimal control of vibration of other more complicated time-variant systems.