| 引用本文: | 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.[点击复制] |
| REN Wei-jian,WANG Chun-lei,LU Yang.Research on fault detection for Markovian jump systems with time-varying delays and randomly occurring nonlinearities[J].Control Theory and Technology,2016,33(9):1147~1154.[点击复制] |
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| 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 |
| 摘要点击 2474 全文点击 1618 投稿时间：2016-01-07 修订日期：2016-05-03 |
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| DOI编号 10.7641/CTA.2016.60012 |
| 2016,33(9):1147-1154 |
| 中文关键词 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 |
| 英文关键词 Fault detection Markovian jump system stochastic time-varying delays randomly occurring nonlinearities |
| 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. |
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| 中文摘要 |
| 本文研究一类具有随机时变时滞及随机发生非线性（RONs）的离散时间马尔可夫跳跃系统的故障检测问题。针对多重时变时滞发生时所具有的随机特性，使用相互独立的伯努利随机过程来刻画这一现象。进一步地，在故障检测研究中考虑一类由伯努利分布白序列描述的随机非线性干扰。本文的目的是设计一个故障检测滤波器，使得整个误差动态系统满足均方指数稳定及相应的H∞性能指标。通过Lyapunov稳定性理论及随机分析技术，建立满足均方指数稳定和H∞干扰抑制的充分条件，进而使用半定程序方法求解一个凸优化问题，获取所设计的故障检测滤波器增益特性。最后，通过仿真算例证实了该设计方法的实用性和有效性。 |
| 英文摘要 |
| 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 characteristic 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 distributed 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. |