计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (9): 65-70.DOI: 10.3778/j.issn.1002-8331.2010.09.020

• 研发、设计、测试 • 上一篇    下一篇

基于最小信息损失准则的降阶LQG控制器设计

张 索,章 辉   

  1. 浙江大学 工业控制技术国家重点实验室,杭州 310027
  • 收稿日期:2009-09-21 修回日期:2009-11-05 出版日期:2010-03-21 发布日期:2010-03-21
  • 通讯作者: 张 索

Reduced-order LQG controller design based on principle of minimum information loss

ZHANG Suo,ZHANG Hui   

  1. State Key Lab of Industrial Control Technology,Zhejiang University,Hangzhou 310027,China
  • Received:2009-09-21 Revised:2009-11-05 Online:2010-03-21 Published:2010-03-21
  • Contact: ZHANG Suo

摘要: 从信息论的角度出发,研究了LQG控制器降阶问题。在考察系统内部状态信息描述的基础上,提出了两种基于交叉格莱姆矩阵最小信息损失的LQG控制器降阶方法。将由这两种方法得出的降阶LQG控制器分别与全阶LQG控制器、基于最小K-L信息距离的降阶控制器进行仿真对比研究,比较各闭环系统的控制性能。仿真结果表明,提出的降阶控制器能较好地逼近全阶控制器实现闭环系统性能。

关键词: 控制器降阶, 信息论, 交叉格莱姆矩阵, 最小信息损失, 圈量子引力(LQG)最优控制

Abstract: The issue of designing reduced-order LQG controller is considered from the view of information theory.By exploring the description of the internal state information of the system,two approaches based on cross-Gramian matrix by the principle of minimum information loss are proposed to design LQG reduced-order controller.The performances of the reduced-order LQG closed-loop systems are compared with both the high-order LQG closed-loop and the low-order closed-loop system obtained by the minimum K-L information distance controller reduction method.As the numerical simulation shows the reduced-order closed-loop systems obtained by these two approaches have satisfied performances which prove the efficiency of the controller reduction methods.

Key words: controller reduction, information theory, cross-Gramian, minimum information loss, Loop Quantum Gravity(LQG) optimal control

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