| 具有持续驻留时间的马尔科夫跳变系统容错估计 |
投稿时间：2025-07-29 修订日期：2025-11-24  点此下载全文 |
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| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要:本文针对一类具有持续驻留时间切换转移概率的连续马尔科夫跳变时滞系统，提出了一种容错估计方法。系统模态呈现的跳跃特性由马尔科夫链描述，本文中马尔科夫链的转移概率采用更灵活的持续驻留时间切换规则进行描述。通过协同设计容错状态估计器和故障估计器，融合潜在故障信息构建状态估计误差系统。基于Lyapunov-Krasovskii(L-K)泛函，积分不等式、改进逆凸矩阵不等式、自由权矩阵以及切换系统理论，建立线性矩阵不等式(LMI)约束下的充分条件，解出状态估计器和故障估计器增益矩阵，确保时变时滞与高频切换下误差系统全局一致指数稳定并满足H无穷性能指标。最后，通过发动机飞行系统进行仿真，说明了所提出技术的有效性。 |
| 中文关键词:持续驻留时间 马尔科夫跳变 时滞 容错估计 |
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| Fault-tolerant estimation for Markov jump systems with persistent dwell-time |
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| Abstract:This paper proposes a fault-tolerant estimation method for a class of continuous Markov jump time-delay systems with persistent dwell-time switched transition probabilities. The jumping property presented by system modes is described by the Markov chain. And the transition probabilities of the Markov chain is described by adopting the more flexible persistent dwell-time switching rule. By co-designing a fault-tolerant state estimator and a fault estimator, a state estimation error system is constructed by integrating potential fault information. Utilizing the Lyapunov-Krasovskii (L-K) functionals, integral inequalities, improved inverse convex matrix inequality, free-weighting matrices and switched system theory, sufficient conditions under linear matrix inequality (LMI) constraints are established. The gain matrices of the state estimator and fault estimator are derived to ensure global uniform exponential stability of the error system under time-varying delays and high-frequency switching, while satisfying the H performance index. Finally, through the simulation of the engine flight system, the effectiveness of the proposed technology was demonstrated. |
| keywords:Persistent dwell-time Markov jump time delay fault-tolerant estimation |
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