Fault detection for discrete‐time switched singular time‐delay systems: an average dwell time approach

Abstract

In this paper, the fault detection problem is investigated for a class of discrete-time switched singular systems with time-varying state delays. The residual generator is firstly constructed based on a switched filter, and the design of fault detection filter is formulated as an H 1 filtering problem, that is, minimizing the error between residual and fault in the H 1 sense. Then, by constructing an appropriate decay-rate-dependent piecewise Lyapunov function and using the average dwell time scheme, a sufficient condition for the residual system to be regular, causal, and exponential stable while satisfying a prescribed H 1 performance is derived in terms of linear matrix inequalities (LMIs). The corresponding solvability condition for the desired fault detection filters is also established via LMI approach. Finally, a numerical example is presented to show the effectiveness of the developed theoretical results.

Fault detection and approximation for a class of linear impulsive systems using sliding‐mode observer

“…where, L is defined in (13). System (14) is transformed to new coordinate system´, To estimate states of (16), the following SMO is used,…”

“…Let Assumptions 1-3 hold and L is the defined in (13). If there exist matrix P D P T > 0, constants > 0; > 1, and 0 <ˇ< 1 satisfying the following inequalities:…”

“…Fault detection and control of hybrid systems, especially switching systems, are investigated in several literature [11][12][13][14]. [14] utilizes high order SMO and Volterra integral equation to detect and identify faults of non-minimum phase switching systems.…”

H∞ descriptor fault detection filter design for T–S fuzzy discrete-time systems

“…This method of fault defection filter design in this paper is common, such as references [32,35,36,39].…”

A finite-frequency domain approach to fault detection filter design for vehicle active suspension systems

“…When the residual evaluation function is larger than the threshold, an alarm is produced. The filter has been designed to solve the fault detection problem of networked control systems modeled [17], Markovian jump singular systems with intermittent measurements [18], discrete-time switched singular timedelay systems [19], and fuzzy jump systems [20]. However, by using the generalized KYP Lemma, many results of fault detection have been shown.…”