摘要
针对多时滞不确定系统,用Riccati和LMI相结合的方法设计了一个H∞控制器。该方法的要旨在于只要相应的ARE和LMI存在正定解,就能设计出H∞控制器。同时用仿真验证了该H∞控制器不但保证了闭环系统鲁棒渐近稳定,而且对于所有容许的不确定性,其H∞范数小于某一常数r,并且其系统响应都趋向稳定。
For uncertain systems with time delay,with the methods of combining of Riccati and LMI,a H∞ controller is designed.The main ideas of this method are that the relevant ARE and LMI are solvable,H∞ controller can be designed.We have proved that the designed H∞ can is robustly stable for closed-loop systems.At the same time,its norm is smaller than a constant ＂r＂ for all uncertain systems and response of the system is steady.
出处
《湖南人文科技学院学报》
2010年第4期85-87,共3页
Journal of Hunan University of Humanities,Science and Technology
基金
湖南省科技计划项目(2009SK3041)
湖南省教育厅项目(09C545)
湖南人文科技学院青年基金项目(2008QN014)
关键词
鲁棒H∞控制
不确定系统
时滞
LMI
robust H∞ control
uncertain system
time delay
line matrix inequation
