Fault Detection and Robust Security Control for Implicit Jump Systems Against Random FDI Attacks and Packet Loss Under Memorized Output-Perceptive Event-Triggered Protocol

This paper investigates fault detection and robust security control of implicit Markovian jump (IMJ) systems affected by random false data injection (FDI) attacks and packet loss under memorized output-perceptive event-triggered protocol (MOETP). In order to harmonize control performance and communication efficiency, a mode-dependent MOETP is proposed by designing an output-dependent threshold function and introducing weight parameters. Fault detector and feedback controller incorporating random FDI attacks and packet loss information are cooperatively designed to detect the occurrence of system faults and achieve robust security control for IMJ systems. Considering the property that the derivative of “time-varying delay” function is 1 and the definition of error in MOETP, a novel mode-delay-related Lyapunov-Krasovskii functional is constructed so as to derive the strict linear matrix inequality criteria of
$H_{\infty }$
stochastic admissibility as well as the expected gains of fault detector and security controller based on free-weight matrix method and matrix transformation technique. The validity of the presented co-design methodology is confirmed by a tunnel diode circuit system.