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首页> 外文期刊>Mechanical systems and signal processing >Partial pole assignment with time delay by the receptance method using multi-input control from measurement output feedback
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Partial pole assignment with time delay by the receptance method using multi-input control from measurement output feedback

机译：通过接收方法使用测量输出反馈的多输入控制的接收器，进行带延时的部分极点分配

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摘要

This study investigates the receptance method for the partial pole assignment of time-delay nonlinear systems using multi-input control from measurement output feedback (i.e., acceleration, velocity and displacement). The receptance method has a remarkable advantage compared to other methods in that there is no need to know the mass, damping and stiffness matrices of the system, which are typically obtained from the finite element method. We achieve partial assignment of the desired poles with no spillover using the assigned and unchanged poles and the corresponding eigenvectors of the closed-loop system. We used different types of generalised inverse matrices to obtain the realisable control gains. The modal constraints for the assigned eigenvectors are thus obtained. Because certain components of the measurement output were found to be unmeasurable, a numbering system is proposed for determining zero elements in the control gains. Then, realisable control gains are obtained after zero-column substitutions are made in the corresponding matrix with the numbering system. Our theoretical results show that having multi-input control from the measurement output feedback is effective for a partial pole assignment with time delay in structures. This theory is demonstrated by several numerical examples of a three-degree-of-freedom damped mass-spring system.
机译：这项研究研究了从测量输出反馈（即加速度，速度和位移）使用多输入控制的时滞非线性系统部分极点分配的接受方法。与其他方法相比，接受方法具有显着的优势，因为无需知道系统的质量，阻尼和刚度矩阵，这些矩阵通常是通过有限元方法获得的。我们使用已分配和未更改的极点以及闭环系统的相应特征向量，实现了所需极点的部分分配而没有溢出。我们使用了不同类型的广义逆矩阵来获得可实现的控制增益。这样就获得了分配特征向量的模态约束。由于发现测量输出的某些分量不可测量，因此提出了一种编号系统，用于确定控制增益中的零元素。然后，在用编号系统在相应矩阵中进行零列替换后，可获得可实现的控制增益。我们的理论结果表明，根据测量输出反馈进行多输入控制对于结构中具有时间延迟的部分极点分配有效。这个理论通过三自由度阻尼质量弹簧系统的几个数值示例得到证明。

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