Optimal memoryless regulator of systems with time-varying delay

Optimal memoryless regulator of systems with time-varying delay
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时变延迟系统的最优无记忆调节器

DOI:
10.1109/icarcv.2004.1469441
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发表时间:
2004
期刊:
ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.
影响因子:
--
通讯作者:
T. Kubo
T. Kubo
中科院分区:
--
文献类型:
--
作者:
T. Kubo

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具有随时间变化的时滞的线性系统被视为植物。假设仅使用瞬时内部变量的反馈结构,并且反馈增益由一些矩阵不等式的解来确定。结果表明,由此产生的闭环系统是渐近稳定的,而且,它是最小化包含时变权重的二次成本函数的最优调节器。矩阵不等式所需的解可以通过一些可以数值求解的线性矩阵不等式的解来计算。给出了一个数值示例来演示设计过程。
A linear system with time-delay which varies with time is considered as a plant. A feedback structure which uses only the instantaneous internal variables is assumed, and the feedback gain is determined with a solution of some matrix inequalities. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is the optimal regulator minimizing a quadratic cost functional, which contains time-varying weights. The required solution of the matrix inequalities can be calculated with a solution of some linear matrix inequalities, which can be solved numerically. A numerical example is shown to demonstrate the design procedure.
DOI: --
发表时间: 2005
期刊:
影响因子: --
作者:
Tsuyoshi;Matsuki
通讯作者: Matsuki