基于遗传算法的LQR算法中权矩阵的优化分析

PDF(1532 KB)

振动与冲击 ›› 2010, Vol. 29 ›› Issue (11) : 217-220.

论文

基于遗传算法的LQR算法中权矩阵的优化分析

郭一峰1 徐赵东1 涂青2 冉成崧1

作者信息 +

Optimum Analysis for Weight Matrices in LQR Algorithm Based on Genetic Algorithm

Guo Yifeng 1 ,Xu Zhaodong 1 ,Tu Qing 2, Ran Chengsong 1

Author information +

文章历史 +

摘要

LQR控制算法是目前结构主动控制设计分析时最广泛采用的方法。在LQR算法中，权矩阵Q和R的选取直接影响着结构的动力反应和控制力。目前如何确定最优形式和大小的Q和R以获得全局最优控制力仍然是个难题。本文采用遗传算法，在一定的目标函数下对LQR算法中权矩阵Q和R进行优化，使其控制效果能够满足结构性能要求，并对优化结果下的动力反应进行了分析比较和结果的验证。

Abstract

LQR control algorithm is the most widely used method in the active control of the structure. The choice of weight matrices Q and R are important to the control effect of the structure. Hence, how to determine the optimal form and size of the Q and R to obtain the global optimal control is still a difficult topic. The matrices Q and R are optimized based on genetic algorithm under objective function and the results are verified in this paper.

导出引用

郭一峰徐赵东涂青冉成崧. 基于遗传算法的LQR算法中权矩阵的优化分析[J]. 振动与冲击, 2010, 29(11): 217-220

Guo Yifeng ;Xu Zhaodong ;Tu Qing;Ran Chengsong . Optimum Analysis for Weight Matrices in LQR Algorithm Based on Genetic Algorithm[J]. Journal of Vibration and Shock, 2010, 29(11): 217-220