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一类带有非线性摄动的时滞系统的鲁棒H_∞控制
Robust Control for a Class of Time-delay Systems with Nonlinear Perturbation
【摘要】 基于稳定性理论,该文研究了一类带有非线性摄动的时滞系统的H∞性能问题.通过构造Lyapunov函数推导出一个线性矩阵不等式,从而得到该系统具有H∞性能的充分条件;同时,通过求解这个线性矩阵不等式,即可获得鲁棒H∞控制器.给出系统具有H∞性能的两类时滞相关鲁棒稳定控制器.
【Abstract】 Based on Lyapunov stability theory,control for a class of time-delay systems with nonlinear perturbation is researched in this paper.A linearity matrix inequality is derived by constructing a Lyapunov function,so that a sufficient condition for such system to be property is presented;furthermore,by solving the linearity matrix inequality,the robust controller is obtained.Two delay-dependent robust stabilizing controllers for such system to be property are presented in this paper.
【关键词】 非线性摄动;
时滞系统;
线性矩阵不等式;
H∞控制;
【Key words】 nonlinear perturbation; time-delay system; linearity matrix inequality; H∞ control;
【Key words】 nonlinear perturbation; time-delay system; linearity matrix inequality; H∞ control;
【基金】 2004年广西百名学科带头人资助项目
- 【文献出处】 广西师范学院学报(自然科学版) ,Journal of Guangxi Teachers Education University(Natural Science Edition) , 编辑部邮箱 ,2007年02期
- 【分类号】O231.2
- 【被引频次】2
- 【下载频次】78