基于最小信息损失准则的降阶LQG控制器设计  

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

作　　者：张索[1] 章辉[1] 

机构地区：[1]浙江大学工业控制技术国家重点实验室,杭州310027

出　　处：《计算机工程与应用》2010年第9期65-70,共6页Computer Engineering and Applications

基　　金：国家自然科学基金(No.60674028)~~

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。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.

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 

分 类 号：TP273.5[自动化与计算机技术—检测技术与自动化装置]