控制理论与应用2016，Vol.33Issue(9)：1147-1154,8.DOI:10.7641/CTA.2016.60012
随机时变时滞非线性马尔可夫跳跃系统故障检测问题研究
Research on fault detection for Markovian jump systems with time-varying delays and randomly occurring nonlinearities
摘要
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.关键词
故障检测/马尔可夫跳跃系统/随机时变时滞/随机发生非线性Key words
fault detection/Markovian jump system/stochastic time-varying delays/randomly occurring nonlinearities分类
信息技术与安全科学引用本文复制引用
任伟建,王春蕾,路阳..随机时变时滞非线性马尔可夫跳跃系统故障检测问题研究[J].控制理论与应用,2016,33(9):1147-1154,8.基金项目
国家自然科学基金项目(61374127),黑龙江省博士后科研启动资金项目(LBH-Q12143),黑龙江省青年基金项目(QC2013C066)资助 （61374127）
