论文标题
通过多输入反馈控制对振动系统的极零分配
On Pole-Zero Assignment of Vibratory Systems by Multi-Input Feedback Control
论文作者
论文摘要
在本文中，我们通过多输入反馈控制考虑了振动系统的极点零分配问题。我们提出了一种多步的两阶段方法，用于解决多输入极点零分配问题。我们首先将分配问题重新制定为多步单输入杆零分配问题。然后，在每个步骤中，我们提出了一种解决单输入极点零分配问题的两阶段方法。在第一阶段，基于测量的接收到所需的位置，我们需要替换所需的开环点心的选定零，我们需要求解一个小的不确定的线性方程，以查找反馈矩阵的相应列。在第二阶段，通过使用线性矩阵不等式，将完整的闭环电线杆分配给复合左手平面的规定子区域。最后，我们给出一些数值示例，以证明我们方法的有效性。
In this paper, we consider the pole-zero assignment problem for vibratory systems via multi-input feedback control. We propose a multi-step two-stage approach for solving the multi-input pole-zero assignment problem. We first reformulate the assignment problem as a multi-step single-input pole-zero assignment problem. Then, in each step, we propose a two-stage approach for solving the single-input pole-zero assignment problem. In the first stage, based on the measured receptances, we replace the selected zeros of the prescribed open-loop point receptance to the desired locations, where we need to solve a small underdetermined linear equation for finding the corresponding columns of the feedback matrices. In the second stage, by using linear matrix inequalities, the complete closed-loop poles are assigned to the prescribed subregion of the complex left-hand plane. Finally, we give some numerical examples to demonstrate the effectiveness of our method.
