用最优极点配置确定PID参数

Determine PID-Parameter By Assigning Optimal Poles

摘要: 本文从逆最优控制问题解决二阶控制系统的PID参数最优整定,导出了最优极点配置所应满足的条件,根据PID参数与带积分顺馈的垒状态反馈阵之间的关系,提出通过在最优配置区配置极点的方法,一次直接整定满足二次型性能指标达到最小的PID最优参数。

Abstract: This paper presents a solution to determine optimal PID-parameter of a second order control system, by inverse optimal control. The conditions, which must be followed for assigning optimal poles, are obtained. According to the relation between the PID-parameter and the full state variables feedback matrix with integrator in a forward path, the PID-parameter of optimal control are directly determined by arranging poles in the optimal area for setting.