一类单容纯时滞系统二次优化控制

TWICE OPTIMUM CONTROL FOR A KIND OF FIRST ORDER SYSTEMS WITH DEAD-TIME

摘要: 本文研究受控对象为G_a（p）=K/1+Tp^{e^-LP}和G_b（p）=K/p^{e^-LP}二次优化控制，给出一个经验公式，用以确定二次优化控制器的优化参数，可以节省大量仿真寻优机时，结果表明，二次优化控制兼有Smith预估器全补偿纯时滞和状态反馈两类控制器的优点，性能指标好，鲁棒性强；尽管G_a（P）和G_b（P）两者结构不同，但它们二次优化系统性能指标相近：一阶模型无超调；二阶模型σ₂%≤2%;三阶模型σ₃%≤3．3%;四阶模型σ₄≤5.5%,最后讨论一个算例，算法简便，适合工程设计．

Abstract: In this paper, we'll discuss twice optimum control (TOC) for G_a(p)=K/1+Tp^{e^-LP} and G_b(p)=K/p^{e^-LP}, and give an experience formula for decreasing amount of work looking for the optimum parameters of TOC bv CAD. Because,TOC have both advantage for Smith compensating control and state feed back control,it has not only good performance, but also strong robustness. Although,G_a(p)is different from G_b(p), but they have got same performance almost:σ₁%=1;σ₂%≤2%;σ₃%≤3.3%;σ₄≤5.5%.Finally,anexample is given, and the result shows the TOC is an effective design method for the engineering.