安徽大学学报（自然科学版）2012，Vol.36Issue(4)：18-25,8.
不确定广义时变时滞系统的鲁棒H∞控制
Robust H∞ control for uncertain descriptor systems with time-varying delay
摘要
Abstract
The robust H∞ control problem based on state-feedback for descriptor systems with time-varying delay and linear fractional parametric uncertainties was investigated. By using augmented Lyapunov functional and free-weighting matrix approach, the information of delay upper bound in the derivative of Lyapunov functional was retained, a new version of bound real lemma (BRL) for descriptor systems with time-varying delay was presented. Based on obtained BRL, an explicit expression for the desired robust state feedback H∞ controller for uncertain descriptor systems with time-varying delay was given. All obtained results formulated in terms of strict linear matrix inequality ( LMI). Numerical examples demonstrated that the proposed methods were effective and less conservative.关键词
广义系统/时变时滞/线性分式参数不确定性/H∞控制/线性矩阵不等式(LMI)Key words
descriptor systems/ time-varying delay/ linear fractional parametric uncertainties/ H∞ control/ linear matrix inequality (LMI)分类
数理科学引用本文复制引用
焦建民..不确定广义时变时滞系统的鲁棒H∞控制[J].安徽大学学报（自然科学版）,2012,36(4):18-25,8.基金项目
国家自然科学基金资助项目(11071193) （11071193）
陕西省教育厅科研计划基金资助项目(11JK0509) （11JK0509）
宝鸡文理学院重点科研项目(ZK11044) （ZK11044）
