PID controller optimization for H∞ control by linear programming

被引：0
|
作者：
Saeki, M [1 ]
Aimoto, K [1 ]
机构：
[1] Hiroshima Univ, Fac Engn, Div Machine Design Engn, Higashihiroshima 7398527, Japan
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2000年 / 10卷 / 02期
关键词：
H(infinity-)control; PID control; numerical optimization; linear programming;
D O I：
10.1002/(SICI)1099-1239(200002)10:2<83::AID-RNC464>3.0.CO;2-L
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The constraints on the PID gains, which are derived from the PI, norm performance index by discretization of the frequency, are convex or concave depending on frequencies. This problem is a non-convex problem, and a new method of approximating these constraints as adequate linear inequalities is proposed. Then, the optimal solution can be efficiently and successfully searched for by applying linear programming iteratively. This method is compared with methods based on barrier function and linear matrix inequality. Copyright (C) 2000 John Wiley & Sons, Ltd.
引用
收藏
页码：83 / 99
页数：17
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