Large Deviations in Discrete-time Systems with Control Signal Delay
Large Deviations in Discrete-time Systems with Control Signal Delay
复制标题
具有控制信号延迟的离散时间系统的大偏差
DOI：
10.5220/0007920702810288
复制
发表时间：
2019
影响因子：
6.8
通讯作者：
V. Grigoriev
中科院分区：
文献类型：
--
作者：
N. Vunder;N. Dudarenko;V. Grigoriev
研究了具有控制信号时滞的线性离散稳定系统自由运动的偏差（峰值效应）问题。问题在于状态矩阵的特征向量的结构。控制信号的延迟使离散模型阶数增加，导致系统自由运动时特征向量结构发生变化，偏差增大。跟踪离散时间系统是本课题的研究对象。本文提出了一种考虑时滞和偏差的模态控制律设计方法。提出了用特征向量矩阵的条件数来估计系统中峰化过程的上界。最后给出了一个算例。
The paper considers a problem of deviations (peak effect) in the free motion of linear discrete stable systems with a control signal delay. The problem consists in structure of eigenvectors of the state matrix. The control signal delay adds additional order to a discrete-time model and leads to the variation of eigenvectors structure and deviation increasing in the free motion of the system. A tracking discrete-time system is a subject of the research. An approach to the modal control law design taking into account the value of delay and the deviation is suggested in the paper. It is proposed to assess the upper bound of peaking processes in the system with the condition number of an eigenvectors matrix. The results are supported by an example.