执行器故障的连续时间系统的可靠H_∞控制  

Reliable H_∞ Control for Continuous Time Systems with Actuator Failures

作　　者：贾新春[1] 乔军丽[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2007年第2期149-155,共7页Journal of Shanxi University(Natural Science Edition)

基　　金：国家创新研究群体科学基金(60024301);山西省自然科学基金(20051032)

摘　　要：研究了带有执行器故障的连续时间系统的可靠H∞控制问题,采用了一种更实际的执行器故障模型.给出了系统存在可靠H∞控制器的LM I形式的充分判据以及控制器的设计方法.所设计的可靠H∞控制器可以容忍一定的执行器故障,保证整个闭环系统是渐近稳定的且满足一定的H∞性能.进一步,为了降低闭环系统的H∞性能的保守性,提出了一个具有LM Is约束的凸优化方法.最后,通过一个仿真例子说明了所给设计方法的有效性.The reliable H∞ control problem for continuous-time linear systems with actuator failures is studied. A more practical model of actuator failures is adopted. A sufficient criterion for the existence of the reliable H∞ controller is derived in the linear matrix inequality （LMI） form,and a design procedure of such controllers is presented. The designed reliable H∞ controller can tolerate such failures and guarantee that the closed-loop systems are asymptotic stability with some H∞ performance. Furthermore ,a convex optimal approach with LMIs constraints is formulated to decrease the conservation of H∞ cost of the closed-loop system. A numerical example is given to illustrate the effectiveness of our design method.

关 键 词：可靠控制 执行器故障 H∞控制 LMI方法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]