层次差异消除法镇定一类非线性组合大系统.pdfVIP

Vol. 30. No , 1 楠 301赞楠 1 期 湖南太学学报(自然科学版} Feb. 2 0 0 3 20 0 3 年 1 月 Journal of Hunan Univ盯 sity(Natural Science的 义章蝙 ~!hlOOO 盼 2472(2003)Ol~0062 … 04 膳次提乒非消除法铺就一提非铺性相合大端纳 张志飞，章就 {湖南大学电气与信息工辍学院咱湖南低沙 410082) 摘 要:1 1;生相似变换.以减少或消盼于 1且统闸的层次是异.提出了一层次革*消除准 则.进而适用比较成理和纽阵指数性质，建立了非线性美联子单统矩阵特征饿与单纯稳定性 之间的关系，将一决具有非线，除草统的镇定问~转换成舷典的特征值配置问题.本文仅需假 定 1血统的非线性(可能舍不确定性)成分具范数界，不必姿 4民典范数满足匹自己条件.数值例子 我明所给出的方法的有效性，并与相关成果进行了比较. 关键诩 2 关联单就 g 相似交换§状态反馈;镇定控制嚣，最减卒， 申图分类号， TPI3 :lt献标识码， A Eliminating Differences Between Layers to Stabilize Nonlinear Similar Interconnected System with Uncertainties ZHANG Zhi-fei ,ZHANG ]ing (College of Electrical and Information Engineering ,Hunan Univ ,Chansha 410082 China) Abstract, A 旧 milar method to eliminate or remove the differences existing ìn layers 01 the systems ìs introduced. A remove…standard ìs developed.which is shown with constrain condition. The relationship between the asymptotic stability of the nonlinear connected system and its eìgenvalues is ìnvestigated by appJying property of M ~matrix based on analysis of the structure 01 differential equations , which is used to convert the controller design to the c1assical pole pJacement. The only assumption is that the nonlinear components possibly includíng uncertaintìes are bounded with universal norm , no restrictìve as to the poJy 啕 matrìx structure Or tnatched condition ?s n时 d. An aJgebraic procedure is provided for controlJ er that is req 山 red