摘要
针对一类具有范数有界不确定性不满足匹配条件的线性连续系统,对易于失效的执行器进行容错控制设计,重新研究了圆域极点指标、H∞指标和H2指标约束下的满意容错控制器的设计问题。基于线性系统的极点配置理论和H2/H∞控制理论,利用线性矩阵不等式(LMI)方法,在假设失效执行器的输出为任意能量有界信号的情况下,分析了这3类指标在相容情况下的取值范围,并在相容指标约束下得到了新的满意容错控制器的设计方法,给出了满意容错控制器的具体设计步骤。所设计的满意容错控制器使闭环系统的极点在一个给定的圆域内,并且保持着系统给定的H2/H∞性能要求。
For a class of uncertain linear continuous systems with uncertainties which are norm-bounded and do not meet the match con- ditions, considering the actuators which are easy to failure, the problem of ＇satisfactory fault-tolerant control is restudied with circle pole index, H∞ index, and H2 index constraints. Based on the pole assignment theory and H2/H∞ control theories, using the LMI method, the satisfactory fault-tolerant controller was redesigned under the assumption that the outputs of the failure actuators are under any signals energy, and analyzed the range of these three constraint indices. Furthermore, give a new method to design the satisfactory fault-tolerant controller for uncertain linear continuous systems with constrains under the compatibility indexes, and specific design steps of satisfacto- ry fault-tolerant controller. The designed satisfactory fault-tolerant controller limits those poles of the closed-loop system in the given cir- cle domain, and makes it keep those given H2/H∞ performance requirements.
出处
《控制工程》
CSCD
北大核心
2012年第2期225-228,共4页
Control Engineering of China
基金
国防科技重点实验室开放课题研究基金(002010260730)
中央高校基本科研业务费专项资金(HEUCF20101118)
