一类非线性时滞系统的鲁棒故障诊断

The Robust Fault Detection for a Class of Nonlinear Time-Delay Systems

讨论了一类非线性时滞系统执行器故障的鲁棒故障诊断问题.通过引入一种适当的坐标变换,将一类非线性时滞系统转化为两个低维子系统,研究与非线性项无关子系统的基于状态观测器的鲁棒故障诊断系统设计问题,借助线性矩阵不等式(LMI)技术,推导出依赖时滞大小的解存在的条件以及观测器增益矩阵的求解方法.仿真算例验证了该方法的有效性.

An actuator robust fault detection （RFD） scheme was proposed for a class of nonlinear time- delay systems. Using some states and outputs coordinates transformation, the nonlinear time-delay systems can be decomposed into two subsystems. By using the linear matrix inequality （LMI） approach, the design of reduced-order observer based RFD system was proposed for the subsystem that is independent of nonlinear part. The existence condition and the solution of observer gain matrix, which are dependent on the size of the delay, were also given and proved. Finally, an example was given to demonstrate the effectiveness of the proposed approach.