不确定网络化控制系统鲁棒故障检测

Robust fault detection for uncertain networked control systems

针对一类具有未知输入和模型不确定性的网络化控制系统,基于H∞滤波器研究了系统的鲁棒故障检测问题。利用输入时滞方法,将含有网络传输时滞和数据丢包的不确定网络化控制系统建模成一类具有双加性状态时滞项的连续系统。采用Lyapunov-Krasovskii泛函方法分析了新系统的H∞性能,并将所得结果应用于原系统鲁棒故障检测滤波器的设计,得到了滤波器存在的时滞依赖条件。最后,通过仿真验证了该方法的有效性。

A robust fault detection scheme is proposed for a class of networked control systems （NCSs） with the unknown inputs and modeling uncertainties. A fault detection filter is designed by using H∞ control theory. The uncertain NCS with both network transmission delay and data dropout is modeled as a continuous- time system with two additive delay components in the state by employing an input delay approach. A new result on H∞ performance of the continuous-time system is derived by exploiting a Lyapunov-Krasovskii functional. And based on it, the existence condition of the robust fault detection filter for the uncertain NCS is obtained, which is dependent on the size of the delay. Finally, a numerical example is given to demonstrate the validity of the proposed approach.