不确定奇异系统的有限时间容错控制器设计  

Design of fault-tolerant controller with finite time for uncertain singular systems

作　　者：张爱清[1] 方华京[1] 

机构地区：[1]华中科技大学控制科学与工程系

出　　处：《华中科技大学学报（自然科学版）》2007年第7期64-66,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60574088;60274014);湖北省教育厅科研计划资助项目(B200534001)

摘　　要：讨论了不确定线性奇异系统的有限时间容错控制问题.针对一类含有时变、范数有界参数不确定奇异系统,运用线性矩阵不等式方法(LMI),设计了鲁棒容错状态反馈控制律,使得当奇异系统执行器发生故障时,故障闭环系统仍然是正则、无脉冲,且保持有限时间状态稳定,给出了有限时间容错控制器存在的充分条件和设计方法,该方法通过解线性矩阵不等式即可得到容错控制器的设计结果.数值算例验证了该容错控制设计方法的有效性.We focused the problems of fault-tolerant control with finite time in uncertain singular system, whose class is with parameter uncertainties and norm-bounded. Based on LMI, a robust fault- tolerant state feedback controller is designed against actuator failures. The controller designed can guarantee that the resultant closed-loop system is regular, impulse-free and finite-time stability. A. sufficient condition for the existence of finite-time fault-tolerant controller and designing technique were derived. This method can-obtain the designed result of fault-tolerant controller by using the linear matrix inequality. A numerical example shows the validity of the proposed method.

关 键 词：容错控制 有限时间稳定 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]