一类非线性系统的分步变换伪线性化方法(英文)  

A Staged Transformation Pseudolinearization Method for a Class of Nonlinear System

作　　者：葛友[1] 李春文[1] 

机构地区：[1]清华大学自动化系,北京100084

出　　处：《控制理论与应用》2001年第3期323-327,324-327,共5页Control Theory & Applications

基　　金：supportedbyNationalNaturalScienceFoundationofChina ( 693 4 0 10 ;697740 11) ;NationalkeyBasicResearchSpecialFoundation(G199

摘　　要：给出了单输入非线性系统的分步变换伪线性化方法及其算法 .首先将原系统变换为标准型 .利用 [1]中的算法 ,可以获得将标准型变换为伪标准型的变换阵 T .在第一步变换下 ,原系统的部分状态已经获得精确线性化 ,并且分步变换算法比由原系统直接伪线性化的算法简单 .单杆倒立摆的计算机仿真表明了该算法的有效性 .For single input nonlinear systems, this paper gives a staged transformation pseudolinearization method and its algorithm. Firstly the original system is transformed into mormal form. Then making use of the algorithm in [1], the transformation T that changes normal form into psendo normal form is obtained. Under the first transformation, parts of the states of the original system have been exact linearization and the staged transformation algorithm is easier than transforming original system into pseudolinearization directly. The computer simulation results of single inverted pendulum verify the validity of the proposed approach.

关 键 词：非线性系统 伪线性化 倒立摆控制 计算机仿真 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]