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一类非线性级联系统的鲁棒镇定
引用本文:齐玉峰,董亚丽,冯玉娟.一类非线性级联系统的鲁棒镇定[J].天津工业大学学报,2005,24(6):50-53.
作者姓名:齐玉峰  董亚丽  冯玉娟
作者单位:天津工业大学,理学院,天津,300160
基金项目:天津市高等学校科技发展基金资助项目(20051527).
摘    要:研究一类非线性不确定级联系统的鲁棒镇定问题.根据系统的结构特性,将非线性级联系统转化为基子系统和扩张子系统,在基子系统全局渐近镇定的假设下,根据局部线性化模型的二次可镇定性,构造出非二次李雅普诺夫函数,进而设计出鲁棒镇定控制器.在该控制器作用下的闭环系统,是鲁棒全局渐近稳定和局部二次稳定的.

关 键 词:非线性控制  级联系统  鲁棒镇定
文章编号:1671-024X(2005)06-0050-04
收稿时间:2005-01-13
修稿时间:2005年1月13日

Robust stabilization of a class of nonlinear cascade systems
QI Yu-feng,DONG Ya-li,FENG Yu-juan.Robust stabilization of a class of nonlinear cascade systems[J].Journal of Tianjin Polytechnic University,2005,24(6):50-53.
Authors:QI Yu-feng  DONG Ya-li  FENG Yu-juan
Abstract:The problem of robust stabilization for a class of uncertain nonlinear cascade systems is researched. According to the structure characteristic of the system, an approach is presented to transform the cascade system into a base subsystem and extension subsystem. Via the assumption that the base system is globally asymptotically sta- bilizable, according to the quadratic stabilizability of the local linear model, a non-quadratic lyapunov function is structured and the control law is designed. Then the closed-loop system controlled by that controller is globally asymptotically stable and local quadratically stable.
Keywords:nonlinear control  cascade system  robust stabilization
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