摘要
研究状态反馈控制器增益具有摄动的一类不确定时滞广义系统的鲁棒非脆弱H∞控制问题.分别对控制器增益具有加法式摄动和乘法式摄动研究了控制器的设计问题,并通过对系统广义二次能稳定且满足H∞范数界的研究得到解决.控制器的设计可通过求解一组线性矩阵不等式得到.数值例子说明了所给方法的有效性.
The design problem of robust and non-fragile H∞ state feedback controller is discussed under controller gain perturbations for a class of uncertain singular systems with state delay. Two classes of perturbations are considered, namely, additive and multiplicative. This problem is solved via the notion of generalized quadratic stabilization with H∞ norm bound. And the controllers can be obtained by solving a set of linear matrix inequalities (LMIs). An illustrative example shows the effectiveness of the proposed design method.
出处
《控制与决策》
EI
CSCD
北大核心
2005年第6期629-633,共5页
Control and Decision
基金
辽宁省普通高校学科带头人基金项目(124210).
关键词
时滞广义系统
非脆弱控制
鲁棒H∞控制
线性矩阵不等式方法
Delay control systems
Feedback control
Gain control
Perturbation techniques
Robustness (control systems)
