线性系统的H_2/H-故障检测优化方法设计

The optimized generalized H_2 /H-fault detection approaches design

针对一类具有未知扰动的线性系统的故障检测(FD)问题,通过对系统进行重构,设计出了系统的H2/H-优化FD观测器。利用构造的Lyapunov函数和线性矩阵不等式,证明并给出了FD观测器有解的充分条件和优化设计方法。所设计的观测器使系统具有渐近稳定性,抑制干扰能力强,满足所给的范数指标。仿真结果验证了所设计方法的有效性。

A H2/H-optimized fault detection（FD） observer is designed for a class of linear systems with unknown disturbances by re-constructing the system.A sufficient condition for the solvability of the fault detection problem and the optimized design approach are presented and proved by proper Lyapunov function and linear matrix inequalities.The designed observer makes the systems mean square stability,and better ability of restraining disturbances,and satisfies the given norm index.The numerical design example is employed to demonstrate the effectiveness of the proposed approaches.