摘要
针对不确定连续时滞广义系统,研究了鲁棒H∞控制问题。假设参数不确定性是范数有界的,设计了基于观测器的控制器,使闭环系统满足广义二次稳定和给定H∞性能指标。采用线性矩阵不等式方法,给出了该问题可解的充分条件,该条件对于选择合适的基于观测器的控制器设计方案具有实际指导意义。与已有结论相比,给出的条件中不含有等式限制。最后,给出了应用算例与仿真说明该方法的有效性。
The problem of robust H∞ control for uncertain continuous descriptor systems with time-delay is studied. Parametric uncertainty is assumed to be norm bounded. The observer-based controller is designed such that the resulting closed-loop system is generalized quadratically stable with H∞ performance. By using linear matrix inequality （LMI）, the sufficient conditions for the solvability of the problem are given, and the conditions obtained are instructive for choosing an appropriate controller based on observer. Moreover, compared with the existed results the conditions have no equality constraint. Finally, a numerical simulation shows the effectiveness of the proposed approach.
出处
《控制工程》
CSCD
2006年第3期208-211,共4页
Control Engineering of China
基金
辽宁省教育厅重大基础研究计划资助项目(202022010)天津市高等学校科技发展基金资助项目(20030509)
关键词
不确定广义系统
时滞
观测器
鲁棒H∞控制
uncertain descriptor systems
time-delay
observer
robust HH∞ control
