Robust Fault Detection for Discrete‐Time Nonlinear Impulsive Switched Systems

Abstract

This paper deals with the problem of robust fault detection for discrete‐time nonlinear impulsive switched systems. The fault detection filter is used as the residual generator, in which the filter parameters are dependant on the system mode. Attention is focused on designing the robust fault detection filter. The problem of robust fault detection is converted into an H∞‐filtering problem. A sufficient condition for the solvability of this problem is established by a convex optimization problem. A numerical example is provided to demonstrate the effectiveness of the proposed method.

Asynchronous H∞ filtering fault detection for discrete-time switched linear systems

“…In the past few years, the FD problem of switched systems has been of considerable interest (Koenig et al, 2016;Li et al, 2017a;Qi and Hu, 2018). For FD problems of switched systems, firstly, it is necessary to construct a series of modedependent FD filters, which are augmented with the original systems and fault signals to obtain a residual evaluation system, and find an admissible switching signal so that the augmented system can be stable and satisfy a certain performance.…”

A Condition for Boundedness of Solutions of Bidimensional Switched Affine Systems With Multiple Foci and Centers

“…So based on (10), (11), and T i = t kN+i − t kN+(i−1) for any k ∈ N and i ∈ [N] of quasi-periodic switching path , iterating only the first eqation of (10) yields that for any k ∈ N and v ∈ [N],…”

“…Switched systems have attracted much attention from many researchers for over two decades. Many analysis/ synthesis results are obtained for switched systems in [1][2][3][4][5][6][7][8][9][10][11][12] and references therein. Among them are many results based on two aspects: the origin is assumed to be a single equilibrium point of all subsystems in a common domain; and all subsystems are required to be stable during their activating time intervals.…”

Stability analysis in terms of two measures for impulsive switched nonlinear systems

“…By neural networks method, adaptive approximation‐based tracking control for a family of switched stochastic nonlinear pure‐feedback systems without lower triangular structure was addressed in Niu et al [11]. Li et al [12] investigated the problem of robust fault detection for discrete‐time nonlinear impulsive switched systems. By the well‐designed reduced‐order state observer and adaptive backstepping technique, Niu et al [13] studied the adaptive fuzzy output feedback tracking controller design problem for a class of stochastic nonlinear lower‐triangular switched systems in the presence of input saturation.…”