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一类带有扰动的不确定切换系统的鲁棒镇定
引用本文:孙常春,刘玉忠.一类带有扰动的不确定切换系统的鲁棒镇定[J].沈阳师范大学学报(自然科学版),2005,23(1):12-15.
作者姓名:孙常春  刘玉忠
作者单位:沈阳师范大学,数学与系统科学学院,辽宁,沈阳,110034
基金项目:沈阳师范大学博士启动基金资助项目(054-554405-01).
摘    要:研究了一类带有非线性扰动的不确定切换系统的鲁棒镇定问题.利用完备性条件,得到了不确定切换系统渐近稳定的一个充分条件.基于LMI方法,设计出鲁棒状态反馈控制器及相应的切换策略,使得闭环系统在其平衡点处是渐近稳定的.

关 键 词:不确定切换系统  Lyapunov函数  状态反馈  鲁棒镇定
文章编号:1008-374X(2005)01-0012-04
修稿时间:2004年3月18日

Robust stabilization for a class of uncertain switched systems with perturbations
SUN Chang-chun,LIU Yu-zhong.Robust stabilization for a class of uncertain switched systems with perturbations[J].Journal of Shenyang Normal University: Nat Sci Ed,2005,23(1):12-15.
Authors:SUN Chang-chun  LIU Yu-zhong
Abstract:In this paper,the problem of robust stabilization for a class of uncertain switched systems with unknown-but-bounded uncertainty and nonlinear perturbations is studied.By using the condition of completeness,a sufficient condition of robust stabilization for switched systems is obtained Based on LMI (linear matrix inequality) method,robust state feedback controllers and a switching law are designed to make the closed-loop systems be asymptotically stable on the equilibrium point.
Keywords:uncertain switched systems  Lyapunov function  state feedback  robust stabilization
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