An Event-Triggered Approach to Robust Fault Detection for Nonlinear Uncertain Markovian Jump Systems with Time-Varying Delays

Dynamic Event-Triggered Fault Detection for Discrete Networked Control System With Time-Delay

“…Therefore, if (24) holds, then the NCS ( 20) is asymptotically stable, and this completes the proof.…”

“…According to the different triggering conditions, the ETMs can be mainly divided into static and dynamic ETMs. The static ETMs are currently the most common ones, the triggering threshold of which is a constant [23], [24].…”

Fault Detection Filter for Discrete-Time Markov Jump Lur’e Systems

“…FDF design for MJ Lur'e systems with guaranteed cost H ∞ Theorem 1: Consider that both Assumptions I and II are satisfied. There exists a filter as in (16) such that ( 17) is stochastic stable and G aug ∞ ≤ γ if there exist symmetric positive matrices Z i , X i , matrices with appropriate size O ηi , ∇ i , Γ i , Υ i , and diagonal positive semidefinite matrices T i , W i , ∆ i ∈ R ny×ny such that the LMI constraints (20) are satisfied for all i ∈ K where…”

“…The paper [14] uses a geometric approach for discrete-time systems to design an FDI procedure, and the paper [15] investigates the problem of distributed H ∞ filtering for a class of discretetime Markov jump Lur'e systems over sensor networks with stochastic switching topologies. The work in [16] focuses on the design of an event triggered robust fault detection for nonlinear uncertain MJS under the assumption of timevarying delays. The work in [17] proposes the design of FDF for nonlinear switched stochastic systems in the Takagi-Sugeno fuzzy systems.…”