H_∞ Fault Detection of Networked Control Systems with Multi-packet Transmission and Random Delay using Delta Operator

Abstract

The H _∞ fault detection problem for networked control systems with multi-packet transmission and random delay is studied. This paper converts multi-packet transmission circumstance to a discrete-time switched system, and a delta-based fault detection filter is built for high-speed sampling performance. The paper transformed fault detection problem into finding appropriate parameters of the foundered filter. Through linear matrix inequality (LMI) method and Lyapunov-Krasinskii stability theory, the designed H _∞ fault detection filter's stability conditions are gained. At last, a numerical simulation example is shown to demonstrate the availability of the method.