摘要
针对一类混合中立型时滞系统,研究了系统的鲁棒非脆弱H∞控制问题。在时滞相关有界实引理的基础上,采用矩阵的合同变换以及变量替代技巧将非线性矩阵不等式转化为LMI,通过求解LMI的可行解得到相应的非脆弱H∞控制器的解。设计数值仿真验证了控制器的有效性,仿真表明,当系统参数和控制器增益存在一定的摄动时,控制器能满足一定的性能指标,具有更强的鲁棒性。
The problem of robust non-fragile H∞ control for neutral systems with mixed delay is considered. The nonlinear matrix inequality is translated into the linear matrix inequality by using the matrix congruent transformation and the variable substitution technique based on these bounded real lemmas. The parameter expression of non-fragile H∞ controller is obtained through solving the feasible solution problem of the linear matrix inequality. The effectiveness of the controller is verified by numerical simulations. The simulation results show that the controller can satisfy certain performance parameters and has stronger robustness when the system parameters and controller gain are perturbed.
出处
《控制工程》
CSCD
北大核心
2017年第3期655-660,共6页
Control Engineering of China
基金
安徽省重点教研项目(2012jyxm672)
关键词
时滞系统
稳定性
非脆弱H∞控制器
Time delay system
stability
non-fragile H∞ controller
