Research on fault detection for Markovian jump systems with time-varying delays and randomly occurring nonlinearities
REN Wei-jian
WANG Chun-lei
LU Yang
Abstract：This paper is concerned with the fault detection problem for a class of discrete-time Markovian jump systems with multiple time-varying stochastic delays and randomly occurring nonlinearities. According to the stochastic character-istic of multiple time-varying delays, an individual Bernoulli distribution is used to describe this phenomenon. Furthermore, a kind of stochastic nonlinear disturbance is also considered in the fault detection research by means of a Bernoulli dis-tributed white sequence. The main purpose of this paper is to design a fault detection filter such that the residual system is mean square exponential stable and the relevant H∞ performance is satisfied. Through Lyapunov stability theory and stochastic analysis technology, sufficient conditions are set up for the desired exponential stability and H∞ disturbance attenuation, a convex optimization problem is solved by the semidefinite programming technique, the gain characteristic of the fault detection filter is obtained. Finally, a simulation example is provided to illustrate the usefulness and effectiveness of the proposed design approach.
Keywords：fault detectionMarkovian jump systemstochastic time-varying delaysrandomly occurring nonlinearities
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 1147-1154 )