广义Delta算子系统的容错控制研究  

Fault-Tolerant Control for Singular Delta Operator Systems

作　　者：赵国朋[1] 董心壮[1] 徐艳[1] 孙玉娇[1] 

机构地区：[1]青岛大学自动化与电气工程学院,山东青岛266071

出　　处：《青岛大学学报（工程技术版）》2016年第4期46-51,共6页Journal of Qingdao University(Engineering & Technology Edition)

摘　　要：为了解决广义Delta算子系统的容错控制问题,本文对广义Delta算子系统的容错控制器进行合理的设计,保证在执行器出现故障时相应的闭环系统始终是容许的。通过引入故障切换矩阵来描述系统的执行器故障,并利用线性矩阵不等式方法,得到了广义Delta算子系统存在容错控制器的充分必要条件,进一步利用线性矩阵不等式的解给出相应容错控制器的设计方法,同时利用数值算例对本文理论结果的有效性进行验证分析。分析结果表明,本文所设计的容错控制器可以保证闭环系统在执行器出现故障时始终是容许的,具有良好的可行性,说明该设计方法是有效的。该研究对广义Delta算子系统的容错控制具有一定的应用价值。In order to solve the problem of fault-tolerant control for singular delta operator systems, a reasona-ble state feedback fault-tolerant controller for singular delta operator systems is designed in this paper, such that the corresponding closed-loop systems are admissible under system actuator failures. First, the fault switc-hing matrix is introduced to describe the system actuator failure. By using the method of linear matrix ine-qualities, necessary and sufficient conditions are presented for the existence of a proper fault-tolerant controller for singular delta operator systems. Moreover, the design method of the corresponding controller is obtained based on the solution to linear matrix inequalities. Finally, a numerical example verifies the theoretical results of this paper. The analysis results show that the designed fault-tolerant controller can ensure that the closed loop systems under all different nonzero fault switching matrices are still admissible. The designing method in this paper is indeed effective and feasible. This study has certain practical value for the problem of fault-tolerant control for singular delta operator systems.

关 键 词：广义Delta算子系统 容错控制 状态反馈 LMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]