转移概率部分未知的马尔可夫跳跃延迟系统基于协议的H∞估计

IF 3.5 2区 数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2024-12-17 DOI:10.1016/j.amc.2024.129247
Guixiu Liu, Bing Li
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引用次数: 0

摘要

研究一类具有外源扰动的马尔可夫跳变时滞系统的状态估计问题。为了准确反映模式切换的真实复杂性,假设马尔可夫过程的转移概率部分未知。为了避免数据冲突,同时保留信息更新的必要要求,采用MEF-TOD调度协议将传感器节点的访问授权动态分配给估计器。利用二元算子,构造了一个模相关的估计量来渐近逼近原系统的真实状态。通过选取合适的能量泛函和利用随机分析方法,给出了在H∞性能约束下使误差渐近稳定的几种新方法。通过求解矩阵的一系列不等式,最终得到了估计器的增益矩阵。最后,通过数值算例验证了所提结果的有效性。
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Protocol-based H∞ estimation for Markovian jumping delayed systems with partially unknown transition probability
This article pays attention to estimation issue for the state of a particular kind of Markovian jumping delayed systems (MJDSs) with exogenous disturbances. The transition probability of Markovian process is assumed to be partially unknown for accurately reflecting the real complexity of mode switching. To avoid data collision while retaining the necessary requirement of information updating, a scheduling named MEF-TOD protocol is adopted to dynamically allocate access authorization of sensor nodes to estimator. By virtue of binary delta operator, a mode-dependent estimator is built to asymptotically approximate the real state of original system. Through taking a suitable energy functional and exploiting stochastic analysis method, several novel approaches are given to sufficiently make the error asymptotically stable under constraint of H performance. The gain matrices for estimator are ultimately formed through settling a series of inequalities of matrix. At last, a numerical instance exhibits the validity of proposed results.
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来源期刊
CiteScore
7.90
自引率
10.00%
发文量
755
审稿时长
36 days
期刊介绍: Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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