基于特征结构配置的二阶线性系统鲁棒容错控制设计  

Robust fault-tolerant control design of second-order linear systems via eigenstructure assignment

作　　者：王国胜[1] 武云丽[2] 段广仁[3] 

机构地区：[1]装甲兵工程学院控制工程系,北京100072 [2]北京控制工程研究所空间智能控制技术国家重点实验室,北京100190 [3]哈尔滨工业大学控制理论与制导技术研究中心,哈尔滨150001

出　　处：《控制与决策》2013年第3期357-362,共6页Control and Decision

基　　金：空间智能控制技术国家重点实验室基金项目(9140C590102)

摘　　要：研究基于特征结构配置的二阶线性系统鲁棒容错控制设计问题,目的是重新设计状态反馈控制律,使得故障闭环系统和正常闭环系统具有相同的特征值.两闭环系统的特征向量依最小二乘法接近,而且能通过极小化灵敏度指标提高系统的鲁棒性.基于状态反馈特征结构配置的参数化结果,将系统灵敏度指标优化问题转化为含有约束条件的优化问题,并提出了鲁棒容错控制设计方法.数值算例及其仿真结果验证了所提出设计方法的有效性.The robust fault-tolerant control design problem of second-order linear systems via eigenstructure assignment is investigated. The aim is to redesign a state feedback control law such that the fault closed-loop system has the same eigenvalues with the normal close-loop system, the eigenvectors of the fault closed-loop system are as close to those of the normal close-loop system as possible in terms of least squares, and the sensitivity is minimized to improve the system robustness. Based on the parameterized result of state feedback eigenstructure assignment, the optimal problem of sensitivity is changed into an optimal problem with some constraint conditions, and the robust fault-tolerant control design method is proposed. Finally, a numerical example and its simulation results show the effectiveness of the proposed design method.

关 键 词：二阶线性系统 特征结构配置 容错控制 鲁棒性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]