Gain and phase margin of optimal memoryless regulator of systems with time-delay
Gain and phase margin of optimal memoryless regulator of systems with time-delay
复制标题
时滞系统最优无记忆调节器的增益和相位裕度
DOI：
10.1080/002071799221037
复制
发表时间：
1999
影响因子：
2.1
通讯作者：
T. Kubo
中科院分区：
文献类型：
--
作者：
T. Kubo
利用无记忆反馈构造了一类具有时滞系统的线性二次型调节器，并对其鲁棒性进行了评价。首先，在输入通道中插入静态非线性扰动，推导出鲁棒稳定性条件。作为特殊情况，表明该调节器具有无限增益裕度和至少50%的增益减小容限。然后，在同一点插入一个动态线性摄动，并推导出一个备选稳定性条件。它保证稳压器至少有600相裕度。这些结果与有限维LQ调节器的结果一致。
A class of linear quadratic regulators of the system with time-delay in the states is constructed by a memoryless feedback, and its robustness is evaluated. First, a static non-linear perturbation is inserted in the input channel, and a robust stability condition is derived. As its special case, it is shown that the regulator has infinite gain margin and at least 50% gain reduction tolerance. Next, a dynamic linear perturbation is inserted in the same point, and an alternative stability condition is derived. It assures that the regulator has at least 60o phase margin. These results coincide with those of the finite dimensional LQ regulator.