纯时滞两次ITAE优化控制系统的背驰定律

A LAW OF RUN IN THE OPPOSITE DIRECTION FOR THE TWICE ITAE OPTIMUM CONTROL IN THE SYSTEM WITH DEAD TIME

本文给出纯时滞系统新的二次优化控制算法 ,即不论在有穷维空间 ,还是在无穷维空间 ,两次都用 ITAE优化控制律进行优化 .这种系统 ,设定的一次优化超调 δ1(μ) %愈小 ,二次优化超调 δ2 (μ)愈大 ,系统的鲁棒性愈强 ,称之为背驰定律 .最后讨论一个算例 ,结果表明 ,鲁棒性强 ,对时变时滞系统的优化控制 ,更具有工程实用价值 .

This paper gives a new algorithm for the twice optimum control in the system with dead time. All the twice optimum algorithms, not only in the finite space but also in the infinite space, are all employing ITAE optimal control law to do it. In this kind of system, there is an important regularity named the law of run in the opposite direction : the smaller the overshoot of first optimum in the finite space, and greater the overshoot of the second optimum in the infinite space, the stronger the system robustness. Finally, discuss an example, the results show that its robust is very strong. This is the need of many process control system.