| 引用本文: | 孙增圻 B. Qvarnstrom.在连续过程的离散最优控制中采样周期和加权系数的选择[J].控制理论与应用,1984,1(2):87~102.[点击复制] |
| Sun Zengqi，B. Qearnstrom.ON THE SELECTION OF SAMPLING PERIODS AND WEIGHTING COEFFICIENTS IN TIMEDISCRETE OPTIMAL OF TIME-CONTINUOUS PROCESSES[J].Control Theory and Technology,1984,1(2):87~102.[点击复制] |
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| 在连续过程的离散最优控制中采样周期和加权系数的选择 |
| ON THE SELECTION OF SAMPLING PERIODS AND WEIGHTING COEFFICIENTS IN TIMEDISCRETE OPTIMAL OF TIME-CONTINUOUS PROCESSES |
| 摘要点击 750 全文点击 577 投稿时间：1982-12-24 修订日期：1983-05-29 |
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| DOI编号 |
| 1984,1(2):87-102 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文提出了在连续过程的离散最优控制中选择采样周期和加权系数的一个方法。这个选
择基于：1）线性的时间离散控制器；2）控制变量的范围受到限制；3）根据对系统的实际
要求给定输出量的初始偏移。系统的性能则采用时间连续的二次型输出偏移损失函数以及类
似的控制损失函数来表示。对不同的采样周期，利用标准的LQ方法来计算控制器，并通过
选择控制损失项的加权系数，以使得对于给定的初始偏移，允许的控制范围得到充分利用，
最后的采样周期则是权衡了偏移损失和控制损失的一个折衷选择。本文介绍的方法尤其适用
于需要尽可能长的采样周期的情况。 |
| 英文摘要 |
| A procedure for the selection of sampling periods and weighting coefficients for the time-discrete optimal control of a time-continuous process is presented. The basis of the selection is,1) a linear time-discrete controller,2) a limited range of the control variable,3) an initial deviation which is given in accordance with the practical requirement to the control system. The performance index of the system is expressed in a time-continuous, quadratic, deviation loss function and a similar control-loss function. Controllers parameters are computed by standard LQ-methods for different sampling periods. The control weighing coefficient in the loss function is chosen so the full use of the control range is obtained, given the initial deviation. The final sampling periods and controller parameters are selected as a compromise between the deviation loss and the control loss. The procedure is especially useful when the longest possible sampling period is required. |