摘要
针对时滞不确定受控对象,在状态反馈的基础上引入时滞状态反馈,基于Lyapunov稳定性理论和Riccati方程,给出线性离散一步时滞不确定系统对传感器失效具有D稳定鲁棒容错性需满足的一个充分条件和控制器的设计方法.利用该方法设计的闭环系统,在传感器发生故障时仍能保证稳定并具有一定的性能.仿真结果表明,引入时滞状态反馈后,系统的动态平稳性优于仅采用状态反馈的控制效果;经仿真结果比较,指出了时滞状态反馈增益矩阵的选取原则.进而对系统采用仅有一步时滞状态反馈的控制律,仿真结果证实了此方法的有效性.
Aiming at linear discrete uncertain systems with a time delay, a sufficient condition for the systems to possess D-stable robust integrity against sensor failures was given by adapting state feedback and time-delay state feedback and using Lyapunov stability theory and Riccati equation. Then the method of controller designing was given. The proposed closed-loop system based on the method could remain stabile in case of sensor failures and guarantee definite performance. The simulation results showed that the proposed method was more effective and the dynamic performance was better than that of state feedback without time delay. Then the selection principles of time-delay state feedback gain matrix was given. Finally, simulation results of state feedback control with single-step time delay were also given to demonstrate the effectiveness of the proposed method.
出处
《兰州理工大学学报》
CAS
北大核心
2007年第2期85-89,共5页
Journal of Lanzhou University of Technology
基金
甘肃省自然科学基金(3ZS051-A25-032)
甘肃省教育厅高等学校研究生导师科研项目(050301)
关键词
容错控制
时滞状态反馈
鲁棒性
D稳定
fault-tolerant control
time-delay state feedback
robustness
D-stability
