Robustness of a Regulator for Linear Systems with Delay
Robustness of a Regulator for Linear Systems with Delay
复制标题
具有延迟的线性系统调节器的鲁棒性
DOI：
10.9746/sicetr1965.19.958
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
M. Ikeda
中科院分区：
文献类型：
--
作者：
K. Okada;M. Ikeda
研究了线性定常时滞系统的反馈控制问题。本文所用的控制律是对二次型性能指标和对给定系统去除时滞后得到的系统计算的最优控制。给出了闭环系统稳定的充分条件，可用于计算调节器的增益裕度、增益降低容限和相位裕度。当闭环系统满足稳定性条件时，通过增大反馈增益可以增大系统的稳定裕度，从而构造了时滞系统的鲁棒调节器。
A feedback control scheme is considered for linear time-invariant systems with time delay. The control law used in this paper is the optimal control which is calculated for a quadratic performance index and the system obtained by removing delay elements from the given system. A sufficient condition for stability of the resulting closed-loop system is provided, which may be employed for computation of gain margin, gain reduction tolerance, and phase margin of the regulator. It is shown that when the closed-loop system satisfies the stability condition, the stability margins can be enlarged by increasing the feedback gain and thus a robust regulator for time-delay systems is constructed.