Finite-time fault detection filter design for discrete-time interconnected systems with average dwell time

fault detection for switched systems with all subsystems unstable

“…In accordance with the above threshold and residual evaluation function, the following logic can determine whether the fault has occurred Remark 3 In other research, such as Theorem 1 in [16], the author investigates the robust ability of the residual signal to external inputs by combining fault signal and disturbance . However, while bringing robustness, Li and Wu [16] abandons the sensitivity of the residual signal to a fault. In this study, we take advantage of the mixed performance index.…”

“…After the design of the residual generator, it is necessary to select an evaluation function to evaluate the residual. According to [16, 35], we utilise the widely adopted evaluation function as where t is the evaluation time window and 0 denotes the initial time.…”

“…Based on approximation, adaptive neural output feedback control for switched stochastic non‐linear systems through the ADT method [15] is proposed. TheADT method is employed to perform the finite‐time fault detection for interconnected systems [16]. An estimator is designed in [17] for discrete‐time switched positive systems using ADT.…”

Fault detection for vehicle active suspension systems in finite‐frequency domain

“…Defining and comparing a residual evaluation function with a threshold, an alarm occurs if function values exceed the threshold, so the fault is detected. Fault detection filters have been given for switched systems with delay [18], discrete systems with actuator fault [19], fuzzy jump systems [20], interconnected systems [21], respectively. Meanwhile, according to the GKYP lemma, there are fault detection strategies in [21–26].…”

Simultaneous local stabilisation and fault detection for continuous‐time T‐S fuzzy systems

“…To meet the requirements for safety and guarantee the system performance, the fault detection (FD) technology is developed so that the fault can be timely detected [23]. Over the last two decades, the FD technology has received considerable attention [24–27]. In the afore‐mentioned approaches, only the FD problem is considered.…”