传感器饱和约束下连续随机系统的鲁棒故障检测

Robust fault detection for continuous stochastic systems subject to sensor saturation

考虑传感器输出饱和约束条件,研究了一类连续随机系统的鲁棒故障检测问题.基于线性矩阵不等式(LMI)技术,提出了保证故障检测系统一致有界均方稳定、且满足给定H_∞性能指标的充分条件,同时给出鲁棒故障检测滤波器的系统化设计方法.数值仿真结果表明了所提方法的有效性.

The robust fault detection problem for a class of continuous-time stochastic systems with sensor saturation is studied. Based on linear matrix inequality （LMI） techniques, a sufficient condition is derived such that the robust fault detection system is uniformly bounded mean-square stable and satisfies the prescribed H∞ performance constraint. Furthermore, detailed synthesis procedure of the robust fault detection filter is given. A numerical example is provided to illustrate the effectiveness of the proposed design method.