Security-based fault detection filtering design for fuzzy singular semi-Markovian jump systems via improved dynamic event-triggering and quantization protocols

This article concerns the problem of event-protocol-based asynchronous fault detection filtering design for discrete-time fuzzy singular semi-Markovian jump systems subjected to system parameters uncertainties, unmatched one-sided Lipschitz nonlinearities and multi-cyber-attacks. First, a well-designed model structure is proposed to integrate two dynamic quantizers and an improved dynamic event-triggered protocol into a unified framework to reduce the amount of data in the network transmission and rationalize the use of limited network communication bandwidth resources. Especially, the event-triggering threshold parameter can be continuously adjusted over the time based on the fluctuation of the network signal. Second, a novel triple-cyber-attacks platform is established, of which including random deception attacks, random replay attacks and aperiodic DoS attacks. And with help of the extended decoupling strategy and iterative techniques, the co-design conditions of the stochastic admissibility with a P level of Script capital H & INFIN;$$ {\mathscr{H}}_{\infty } $$ performance are derived for the fault filtering error systems. Finally, two examples are provided to demonstrate the effectiveness and feasibility of the proposed algorithm.