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一类非线性不确定奇异摄动系统的鲁棒镇定
引用本文:黄志华.一类非线性不确定奇异摄动系统的鲁棒镇定[J].嘉应学院学报,2012,30(11):18-22.
作者姓名:黄志华
作者单位:嘉应学院数学学院,广东梅州,514015
基金项目:梅应市、嘉应学院联合自然科学研究项目
摘    要:研究非线性不确定奇异摄动系统的鲁棒稳定性问题.基于引入状态变换矩阵以及构造Lyapunov函数得到了非线性不确定奇异摄动系统稳定的上界ε*,并且获得了该类系统渐近稳定的充分条件,最后给出数值例子来说明如何使用所获得的结果.

关 键 词:奇异摄动系统  鲁棒控制  Lyapunov函数

Robust Stability of Systems with Nonlinear Uncertainties
HUANG Zhi-hua.Robust Stability of Systems with Nonlinear Uncertainties[J].Journal of Jiaying University,2012,30(11):18-22.
Authors:HUANG Zhi-hua
Institution:HUANG Zhi-hua(School of Mathematics,Jiaying University,Meizhou 514015,China)
Abstract:The robust stability problem the introduction of state transformation ble sufficient conditions of a nonlinear examples are given to illustrate how to of the nonlinear uncertain singular perturbation matrix and the structure of Lyapunov function, singularly perturbed system with upper bound, use the results. systems is studied. Basing on we obtain asymptotically sta- and finally, some numerical
Keywords:singular perturbation system  robust control  Lyapunov function
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