化工学报 ›› 2009, Vol. 60 ›› Issue (1): 118-121.

• 过程系统工程 • 上一篇    下一篇

一种新颖的鲁棒PID控制器设计方法

徐祖华,赵均,钱积新   

  1. 浙江大学工业控制技术国家重点实验室,工业控制研究所
  • 出版日期:2009-01-05 发布日期:2009-01-05

A novel robust PID design method for uncertain system

XU Zuhua,ZHAO Jun,QIAN Jixin   

  • Online:2009-01-05 Published:2009-01-05

摘要:

提出一种新颖的鲁棒PID控制器设计方法,基于最小最大原理寻找一组合理的PID控制器参数,使得闭环系统在一定模型变化范围内仍具有满意的控制品质,降低对模型不确定的敏感程度,提高系统的鲁棒性。鉴于直接求解min-max问题的困难,首先推导出不确定性最坏情况下性能指标的上界,然后将min-max问题转化为最坏性能指标上界的min问题,计算量小且求解容易。同时,证明了该算法的鲁棒稳定性。CSTR仿真例子表明了算法的有效性。

关键词:

PID控制, 鲁棒参数设计, 最小最大原理

Abstract:

A novel robust PID design method is presented in this paper.This method gets the reasonable PID controller parameters based on min-max principle,which can guarantee the control quality when the model varies in a certain range,decrease the sensitivity to the model uncertainty and increase the robustness of the closed-loop system.Since the min-max problem is not computationally tractable,the authors address this problem by first deriving an upper bound on the robust performance objective and then translating the min-max problem into the minimization problem with the upper bound on the worst-case objective.The paper proves the robust stability of the PID design method.The simulation result of CSTR problem is given to demonstrate the effectiveness of the robust PID design method.

Key words:

PID控制, 鲁棒参数设计, 最小最大原理