H-Infinity Fault Detection for Delta Operator Systems with Random Two-Channels Packet Losses and Limited Communication

Abstract

This paper is concerned with the H-infinity fault detection for time-delays delta operator systems with random two-channels packet losses and limited communication. The considered networked control systems (NCSs) are modeled as the time-delays delta operator systems with random packet losses and limited communication, where the packet losses exist in sensor-to-controller (S-C link) or controller-to-actuator (C-A link), and the limited communication occurs in the controller-to-actuator link. The random two-channels packet losses are described by the Markov chain process and limited communication is transformed into system state by feedback control in time-delays delta operator systems. The above delta operator systems are modeled as the Markovian jump systems, and the designed method of H-infinity fault detection filter is proposed under arbitrary transition probabilities matrix. The sufficient conditions for the asymptotical stability of the residual systems with H-infinity performance for the considered delta operator systems are presented by Lyapunov-Krasovskii functional in delta domain, and the gain matrices of the designed fault detection filter can be easily determined by linear matrix inequalities (LMIs). Finally, comparative examples are provided to illustrate the effectiveness of the proposed method.