线性系统容错控制器的设计-BMI方法

Fault-Tolerant Controller Design for Linear Systems: a BMI Approach

利用双线性矩阵不等式(BMI)给出了线性系统对于执行器失效具有完整性的充分必要条件并得到一个叠代最优算法求相应的容错控制律,所给的例子验证了本文提出的算法的有效性.

In this paper, a fault-tolerant feedback control law is put forward for linear systems by bilinear matrix inequalities. A necessary and sufficient condition is obtained for the existence of the fault-tolerant feedback controller. An iterative LMI algorithm based on the bilinear matrix inequality technique is proposed to obtain the feedback gain. A numerical example is given showing the effectiveness of the proposed integrity.