线性系统相容指标约束下的容错控制新方法

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.

New Methods of Linear Systems' Fault-tolerant Control Based-on Consistent Index-constraints

For a class of uncertain linear continuous systems with uncertainties which are norm-bounded and do not meet the match conditions,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 satisfactory fault-tolerant controller.The designed satisfactory fault-tolerant controller limits those poles of the closed-loop system in the given circle domain,and makes it keep those given H2/H∞ performance requirements.