LQ Regulator of Systems with Time-Delay in States by Memoryless Feedback
LQ Regulator of Systems with Time-Delay in States by Memoryless Feedback
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无记忆反馈状态时滞系统的 LQ 调节器
DOI：
10.9746/sicetr1965.33.488
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
E. Shimemura
中科院分区：
文献类型：
--
作者：
T. Kubo;E. Shimemura
提出了一种构造状态时滞系统无记忆反馈律的方法。给出了无记忆反馈可镇定的条件。用矩阵方程的解构造反馈律。结果表明，所得到的闭环系统是渐进稳定的，而且对于某些代价泛函来说，它是线性二次调节器。讨论了本文提出的可镇定性条件与另一个可镇定性条件之间的关系。数值模拟进行评估的控制的有效性。
A method to construct a memoryless feedback law for systems with time-delay in states is proposed. A stabilizability condition by memoryless feedback is presented. A feedback law is constructed with a solution of a matrix equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. The relationship between the stabilizability conditions presented in this paper and another is discussed. A numerical simulation is performed to evaluate the effectiveness of the control.